.A 300 mL sample of hydrogen, H2, was collected over water at 21°C on a day when the barometric pressure was 748 torr. What mass of hydrogen is present?
The vapor pressure of water is 19 torr at 21°C.
a) 0.0186 g
b) 0.0241 g
c) 0.0213 g
d) 0.0269 g
e) 0.0281 g

Answers

Answer 1

The mass of hydrogen present is approximately 0.0213 g. The correct option is c) 0.0213 g.

To determine the mass of hydrogen present, we need to account for the partial pressure of hydrogen and subtract the contribution from the water vapor pressure.

Volume of hydrogen collected (V) = 300 mL = 0.3 L

Barometric pressure (Pbar) = 748 torr

Vapor pressure of water (Pwater) = 19 torr

The partial pressure of hydrogen (Phydrogen) can be calculated using Dalton's Law of Partial Pressures:

Phydrogen = Pbar - Pwater

Substituting the given values into the formula, we have:

Phydrogen = 748 torr - 19 torr

Now, we can use the ideal gas law to calculate the number of moles of hydrogen (n) present:

PV = nRT

where:

P is the pressure,

V is the volume,

n is the number of moles,

R is the ideal gas constant (0.0821 L·atm/mol·K),

T is the temperature in Kelvin.

To convert the temperature from Celsius to Kelvin, we add 273.15:

T = 21°C + 273.15 = 294.15 K

Rearranging the ideal gas law equation, we have:

n = PV / RT

Substituting the calculated partial pressure (Phydrogen), volume (V), and temperature (T) into the equation, we have:

n = (Phydrogen * V) / (R * T)

Finally, to calculate the mass of hydrogen (m), we use the molar mass of hydrogen (2 g/mol):

m = n * molar mass

Substituting the calculated number of moles (n) and the molar mass of hydrogen into the equation, we find the mass of hydrogen present.

The mass of hydrogen present in the 300 mL sample is approximately 0.0213 g. Therefore, the correct option is c) 0.0213 g.

To know more about hydrogen, visit:

https://brainly.com/question/14287666

#SPJ11


Related Questions

Consider the following descriptions of a series of isotopes. Which of the following is likely to be stable?
A. A = 24, Z = 12 B. A = 208, Z = 82 C. A = 222, Z = 86

Answers

Isotope B (A = 208, Z = 82) is likely to be stable because it has a relatively large mass number (A) and a relatively high atomic number (Z), which indicates a balanced ratio of neutrons to protons in the nucleus.

Stable isotopes generally have a close to 1:1 ratio of neutrons to protons. Isotope A (A = 24, Z = 12) and isotope C (A = 222, Z = 86) have lower atomic numbers and may not have a balanced neutron-to-proton ratio, making them less likely to be stable.

However, it is important to note that stability is also influenced by the specific arrangement of nucleons and nuclear forces, so further analysis would be required to determine stability definitively.

Learn more about the isotopes at

https://brainly.com/question/31564125

#SPJ4

Can anyone help me with this question please .
I’ll mark as brainliest
No links

Answers

Answer:

A

Explanation:

The wavelength is the spatial time of an occasional wave, the distance over which the wave's shape rehashes.

Hope this helped!!

Answer:

wavelength

Explanation:

a large, flat, horizontal sheet of charge has a charge per unit area of 5.40 µc/m2. find the electric field just above the middle of the sheet. magnitude kn/c direction ---select---

Answers

The magnitude of the electric field just above the middle of the sheet is approximately 3.05 x 10⁶ N/C.

To find the electric field just above the middle of a large, flat, horizontal sheet of charge, we can use Gauss's law.

Gauss's law states that the electric field (E) due to a flat sheet of charge is directly proportional to the charge density (σ) and perpendicular to the sheet.

The charge density is given as 5.40 µC/m², which represents the charge per unit area of the sheet.

The electric field just above the middle of the sheet is the same as the electric field just below the sheet. This is because the sheet is infinitely large and uniformly charged, creating a symmetric electric field.

The formula to calculate the electric field just above the middle of the sheet is:

E = σ / (2ε₀)

Where σ is the charge density and ε₀ is the permittivity of free space, which is approximately 8.85 x 10⁻¹² C²/(N·m²).

Substituting the given values, we have:

E = (5.40 x 10⁻⁶ C/m²) / (2 x 8.85 x 10⁻¹² C²/(N·m²))

Simplifying, we get:

E = 3.05 x 10⁶ N/C

The direction of the electric field is perpendicular to the sheet and points away from it.

Learn more about electric field:

https://brainly.com/question/19878202

#SPJ11

Two point charges of magnitude 5.0 nC and -3.0 nC are separated by
35.0 cm. What is the potential difference between a point infinitely far
away and a point midway between the charges?

Answers

Answer:

V = 411.43 V

Explanation:

The two forces as a result of each of the 2 charges are;

F1 = kq1•q/r

F2 = kq2.q/r

Where r = r/2 since we are dealing with potential difference at a point midway between the charges.

q1 = 5 nC = 5 × 10^(-9) C

q2 = 3 nC = 3 × 10^(-9) C

k = 9 × 10^(9) N.m²/C²

r = 35 cm = 0.35m

r/2 = 0.35/2

Thus;

F1 = (9 × 10^(9) × 5 × 10^(-9) × q)/(0.35/2)²

F1 = 1469.39q

F2 = (9 × 10^(9) × 3 × 10^(-9) × q)/(0.35/2)²

F2 = 881.63q

Net force acting midway is;

F_net = F1 + F2

F_net = 1469.39q + 881.63q

F_net = 2351.02q

Now, we know that formula for electric potential is;

V = kq/r

Thus ;

V = Fr/q derived from the earlier equation for force we used.

Where F is F_net.

V = 2351.02q × r/q

V = 2351.02r

Recall that we are dealing with midpoint and r = r/2

Thus;

V = 2351.02 × 0.35/2

V = 411.43 V

Find the density of a 2 cm x 2 cm x 2 cm cube with a mass of 64 g.

Answers

Answer:

8 g/cm³

Explanation:

density=mass/volume

volume=2*2*2=8 cm³

mass=64 g

density=64/8=8 g/cm³

The density of a 2 cm x 2 cm x 2 cm cube with a mass of 64 g is equal to 8 g/cm³.

What is the density?

Density can be defined as the material mass per unit of volume. The symbol commonly used to represent density ρ and the letter 'D' can also be used.

The mathematical equation of the density can be represented as written below:

Density = Mass /Volume

or,   ρ = m/V

The density of a material varies with pressure and temperature. There is a small variation for solids and liquids of any material but much larger for gases. Increasing the pressure of material decreases the volume and thus increases its density.

Given the volume of the cube =  2 cm x 2 cm x 2 cm

V = 8 cm³

The mass of the cube, m = 64 g

The density of the cube can be calculated from the above-mentioned formula:

Density = Mass of cube/volume

D = 64/8

D = 8 g/cm³

Therefore, the density of the cube is 8 g/cm³.

Learn more about density, here:

brainly.com/question/15164682

#SPJ2

a long, thin solenoid has 900 turns per meter and radius 2.50 cm. the current in the solenoid is increasing at a uniform rate of 48.0 a/s. What is the magnitude of the induced electric field at a
point near the center of the solenoid and (a) 0.500 cm from the axis of the solenoid; (b) 1.00 cm
from the axis of the solenoid?

Answers

The magnitude of the induced electric field at a point near the center of the solenoid and 0.500 cm from the axis of the solenoid is 1.07 × 10⁻⁴ V/m,

The magnitude of the induced electric field at a point near the center of the solenoid and 1.00 cm from the axis of the solenoid is 4.284 × 10⁻⁴ V/m.

Total no. of turns on the solenoid = 900 turns/m

Radius of solenoid = 2.50 cm = 0.025m

Rate of increase in current = 48.0 A/s  

The magnetic field inside the solenoid,

B = μ₀nI

Where,

n = no. of turns per unit length

n = 900 turns/m

I = current flowing through the solenoid= 0 + 48t= 48t

T = 0s → I = 0

T = ∞ → I = 48

T = t

B = 4π × 10⁻⁷ × 900 × 48t

B = 1.363 T

The induced electric field at a point near the center of the solenoid.

(a) 0.500 cm from the axis of the solenoid

Area of the loop,

A = πr²

   = π(0.005)²

A = 7.85 × 10⁻⁵m²

Enclosed current,

I = nA × I

  = 900 × 7.85 × 10⁻⁵ × 48tI

  = 0.3396t

Magnetic flux,

Φ = BA = 1.363 × 7.85 × 10⁻⁵

Φ = 1.070 × 10⁻⁴ Wb

Induced electric field

E = - (dΦ/dt)

E = -d/dt (1.070 × 10⁻⁴)

E = - (-1.070 × 10⁻⁴)/dt

E = 1.07 × 10⁻⁴V/m(

b) 1.00 cm from the axis of the solenoid

Area of the loop,

A = πr² = π(0.01)²

A = 3.14 × 10⁻⁴m²

Enclosed current

I = nA × I

  = 900 × 3.14 × 10⁻⁴ × 48t

I = 1.36224t

Magnetic flux,

Φ = BA = 1.363 × 3.14 × 10⁻⁴

Φ = 4.284 × 10⁻⁴ Wb

Induced electric field,

E = - (dΦ/dt)

E = -d/dt (4.284 × 10⁻⁴)

E = - (-4.284 × 10⁻⁴)/dt

E = 4.284 × 10⁻⁴V/m

Hence,

the magnitude of the induced electric field at a point near the center of the solenoid and 0.500 cm from the axis of the solenoid is 1.07 × 10⁻⁴ V/m,

and

the magnitude of the induced electric field at a point near the center of the solenoid and 1.00 cm from the axis of the solenoid is 4.284 × 10⁻⁴ V/m.

Learn more about the induced electric field:

brainly.com/question/16195614

#SPJ11

ground the electroscope and charge your pvc pipe with fur. approach but do not touch the electroscope with the charged pipe, then withdraw the pipe. What happens to the leaves of the electroscope?

Answers

When the electroscope is grounded and a PVC pipe charged with fur is brought near it without touching, the leaves of the electroscope will diverge.

The electroscope is a device used to detect the presence of electric charge. It consists of a metal rod with two thin leaves attached to the bottom. When the electroscope is grounded, any excess charge on the leaves is neutralized and they collapse.

When a PVC pipe is charged with fur, it becomes negatively charged. As like charges repel each other, the negative charge on the PVC pipe repels the electrons in the leaves of the electroscope. Even though the pipe does not physically touch the electroscope, the electric field from the charged pipe causes the electrons in the leaves to move apart, resulting in their divergence. This happens because the electrons in the leaves experience a force of repulsion from the negative charge on the PVC pipe.

Once the charged pipe is withdrawn, the electric field weakens, and the leaves gradually come back together. The electroscope returns to its initial state with the leaves collapsed, indicating that the excess charge has been neutralized.

To learn more about electroscope refer:

https://brainly.com/question/29643675

#SPJ11

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.

Answers

Answer:

maximum horizontal distance = 10m

initial vertical velocity of the ball = 4.9m/s

Explanation:

Complete question

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.

Determine the maximum horizontal distance that the ball will travel.

Calculate the initial vertical velocity of the ball.

Maximum horizontal distance x is expressed as;

x = vT

T is total time of flight

T = 2t

Hence x = 2vt

v is the velocity

t is the time

Given

v = 10.0m/s

time t = 500ms = 0.5s

Horizontal distance = 2 * 10 * 0.5

Horizontal distance = 20 * 0.5

Horizontal distance = 10m

Hence the maximum horizontal distance that the ball will travel is 10m

To get the initial horizontal distance, we will use the equation of motion

v = u - gt

T maximum height, v = 0

Substitute

0 = u - 9.8(0.5)

-u = - 4.9

u = 4.9m/s

Hence the  initial vertical velocity of the ball is 4.9m/s

A wedge with a mechanical advantage of 0.78 is used to raise a house corner from its foundation. If the output force is 7500 N, what is the input force?

Answers

Therefore, the input force is 9615.38N

Input force calculation.

T0 determine the input force needed  0.78 to raise a house corner from its foundation we need to use the formula for mechanical advantage.

Mechanical advantage = output force/ input force

Given the output force  to be 7500N and the mechanical advantage 0.78.

We can rearrange the the formula

IF = 7500/0.78

IF = 9615.38N

Therefore, the input force is 9615.38N

Learn more  about input force below.

https://brainly.com/question/29741758

#SPJ1

True or False: The northern & southern lights are caused by solar wind particles interacting with gases in our atmosphere.

Answers

Answer:

False.

Explanation:

An aurora is a natural electric phenomenon that creates bright and colorful light displays in the sky. These dramatic and colorful lights are created when electrically charged particles from solar winds enter the Earth's atmosphere and interact with gases in the atmosphere.

make p the subject of the relation 3t-pqq

=2(pn)

Answers

Answer:

Explanation:

Add pqq to both sides

3t = pqq + 2 pn                       Pull out p as a common factor.

3t = p(qq + 2n)                       Divide by qq + 2n

3t/(qq + 2n)

Why is a spherical bob preferred to bobs of other shapes for use in simple pendulum experiments​

Answers

Answer

A spherical bob creates more control for the simple pendulum experiment. An irregular bob like a large piece of paper for instance, will create too much air resistance for a basic classical experiment to yield predictable results within the academic lab.

a 600-w tv receiver is turned on for 4 hours with nobody watching it. if electricity costs 10 cents/kwh, how much money is wasted? the wasted money is cents.

Answers

A 600-w TV receiver is turned on for 4 hours with nobody watching it. If electricity costs 10 cents/kWh, the amount of money wasted is cents. Therefore, the amount of money wasted in this case is 24 cents.

There are different steps to calculate the money wasted in this case. Here is the step-by-step solution to this problem:

First, we need to calculate the energy consumed in kWh:

Energy consumed = Power × Time Power = 600 W Time = 4 hours

Energy consumed = Power × Time Energy consumed = 600 W × 4 hours

Energy consumed = 2400 Wh.

To convert Wh into kWh, we need to divide the energy consumed by 1000:

Energy consumed = 2400 Wh = 2.4 kWh.

Now, we can calculate the amount of money wasted:

Cost of 1 kWh = 10 cents Cost of 2.4 kWh = 2.4 kWh × 10 cents/kWh

Cost of 2.4 kWh = 24 cents.  

A 600-w TV receiver is turned on for 4 hours with nobody watching it. If electricity costs 10 cents/kWh, the amount of money wasted is cents. The energy consumed by the TV receiver can be calculated by multiplying the power rating by the time it is used. In this case, the power rating is 600 W, and the time is 4 hours.

Therefore, the energy consumed is 600 W × 4 hours = 2400 Wh.

To convert the energy consumed into kWh, we need to divide it by 1000. So, 2400 Wh = 2.4 kWh. The cost of electricity is 10 cents per kWh.

Therefore, the cost of 2.4 kWh is 2.4 kWh × 10 cents/kWh = 24 cents.

This is the amount of money wasted by keeping the TV receiver turned on for 4 hours without anyone watching it. It is important to turn off electrical appliances when they are not in use to save electricity and reduce the electricity bill.

to know more about energy visit:

https://brainly.com/question/1932868

#SPJ11

you have taken another winter trip. wisely, you lowered the thermostat setpoint temperature while you were away. upon arriving home, you increase the thermostat temperature. your baseboard (resistance coil) heater turns on and remains on. assume that the room is sealed, so that no air can leak in or out. consider only the air in the room (total air mass is 320 kg) and not the furnishings. if the heater is rated at 1700 w, what will be the temperature rise, in degrees celsius, after 10 minutes?

Answers

The temperature rise, in degrees Celsius is determined as 1.7⁰.

What will be the temperature rise, in degrees Celsius?

The temperature rise, in degrees Celsius is calculated by applying principle of conservation of energy as follows;

Heat gained by the air = heat lost by the heater

mcΔθ = P x t

where;

m is the mass of the air = 320 kgc is the specific heat capacity of air = 1.87 kJ/kg/CΔθ is the rise in temperatureP is the power supplied to the heatert is the time = 10 mins = 600 s

The energy supplied to the heater is calculated as

E = P x t

E = 1700 w x 600 s

E = 1,020,000 J = 1,020 kJ

The temperature rise, in degrees Celsius is calculated as;

Δθ  = E / mc

Δθ  = ( 1020 ) / ( 320 x 1.87 )

Δθ  = 1.7⁰

Learn more about temperature rise here: https://brainly.com/question/25677592

#SPJ4

what is the maximum efficiency of a heat engine whose operating temperatures are 580 ∘c and 380 ∘c ?

Answers

The maximum efficiency of the heat engine with operating temperatures of 580°C and 380°C. is 4.5%.

The maximum efficiency of a heat engine with operating temperatures of 580°C and 380°C can be calculated using the Carnot efficiency formula.

The Carnot efficiency formula is given by:

Efficiency = 1 - (Tc / Th)

where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.

Plugging in the given temperatures:

Efficiency = 1 - (380°C / 580°C) = 1 - 0.655 ≈ 0.345 ≈ 34.5%

Therefore, the correct answer is 34.5%, which represents the maximum efficiency of the heat engine with operating temperatures of 580°C and 380°C.

You can learn more about heat engine at

https://brainly.com/question/28206778

#SPJ11

calculate the displacement current id between the square plates, 7.6 cm on a side, of a capacitor if the electric field is changing at a rate of 1.4×10⁶ v/m⋅s .

Answers

The displacement current (Id) between the square plates of the capacitor is approximately 7.136×10⁻¹¹ Amperes.

The displacement current (Id) between the square plates of a capacitor with sides measuring 7.6 cm, when the electric field is changing at a rate of 1.4×10⁶ V/m⋅s, can be calculated using Maxwell's equations.

The displacement current (Id) is a term introduced by James Clerk Maxwell to account for the changing electric field in a region where a current is not flowing. According to Maxwell's equations, the displacement current is given by the formula:

Id = ε₀ * dΦE/dt

where ε₀ is the permittivity of free space (approximately 8.854×10⁻¹² F/m) and dΦE/dt represents the rate of change of the electric flux through the capacitor plates.

To calculate dΦE/dt, we need to consider the area of the plates and the rate of change of the electric field. Given that the plates are square and have sides measuring 7.6 cm, the area of each plate is (7.6 cm)² = 57.76 cm² = 5.776×10⁻³ m².

The electric field change rate is given as 1.4×10⁶ V/m⋅s. To find dΦE/dt, we multiply this value by the area of the plates:

dΦE/dt = (1.4×10⁶ V/m⋅s) * (5.776×10⁻³ m²) = 8.0864 A

Finally, we can calculate the displacement current using the formula:

Id = ε₀ * dΦE/dt = (8.854×10⁻¹² F/m) * (8.0864 A) = 7.136×10⁻¹¹ A

Therefore, the displacement current (Id) between the square plates of the capacitor is approximately 7.136×10⁻¹¹ Amperes.

Learn more about displacement current :

https://brainly.com/question/28031227

#SPJ11

When it is winter in the Northern Hemisphere, it is summer in the Southern Hemisphere. Which statement best explains the reason for this situation?
Group of answer choices

A) When the Northern Hemisphere is closer to the sun than the Southern Hemisphere is, the Southern Hemisphere is relatively far from the sun.

B) When the Northern Hemisphere is tilted toward the sun, the Southern Hemisphere is tilted away from the sun.

C) When the Northern Hemisphere is farther from the sun than then Southern Hemisphere is, the Southern Hemisphere is relatively close to the sun.

D) When the Northern Hemisphere is tilted away from the sun, the Southern Hemisphere is tilted toward the sun.

Answers

Explanation::i dont know the answer ,but pls then also mark me as brainlist

Answer:

When the N. Hemisphere is tilted away from the sun, the S. Hemisphere is tilted toward the sun

Explanation:

Unlike the idiot down there that just wanted point here you go

Joan needs to eliminate some employees for a short while. She and her managers identify those employees who are not meeting performance expectations and explain that this termination is temporary but they are encouraged to seek other positions elsewhere. How is Jane trying to reduce the size of the workforce here?

Answers

Answer: layoff

Explanation:

From the information in the question, we can see that Jane is trying to reduce the size of the workforce here through layoff.

Since Joan explains that the termination is temporary, then it's a layoff. If it were to be firing, the termination won't be temporary but permanent as they can't be recalled by the company. But since the employees are discharged temporarily, it's a layoff.

Can someone help with this please

Answers

The graph that correctly gives the variation of the electric field as a function of r is the third graph.

How to explain the information

The electric field inside a conducting shell is zero. This is because the charges on the shell distribute themselves so that the electric field is zero everywhere inside the shell.

The electric field outside a conducting shell is radial and directed away from the center of the shell. The magnitude of the electric field is inversely proportional to the square of the distance from the center of the shell.

Therefore, the graph of the electric field as a function of r is a horizontal line at zero for r < a, a vertical line at r = a, and a decreasing curve for r > a.

Learn more about electric field on

https://brainly.com/question/14372859

#SPJ1

Which of the following statements are true about conduction? Select all that apply. *
-In most solids, conduction takes place as particles vibrate in place.
-Matter is transferred great distances during conduction.
-Thermal energy is transferred without transfer of matter.
-Conduction can occur between materials that are not touching.

Answers

Answer:

Matter is transferred great distances during conduction. (t think i'm not truly sure)

Explanation:

The direct transfer of energy from one molecule to another is known as conduction. Conduction occurs in solids, liquids, and gases, but it is most effective in solids. Heat transfer by radiation, unlike conduction or convection, does not require any matter.

hope this helps

According to the concept of conduction,matter is transferred great distances during conduction.

What is conduction?

Conduction is defined as a process as a means of which heat is transferred from the hotter end of the body to it's cooler end.Heat flows spontaneously from a body which is hot to a body which is cold.

In the process of conduction,heat flow is within the body and through itself.In solids the conduction of heat is due to the vibrations and collisions of molecules while in liquids and gases it is due to the random motion of the molecules .

When conduction takes place, heat is usually transferred from one molecule to another as they are in direct contact with each other.There are 2 types of conduction:1) steady state conduction 2) transient conduction.According to the type of energy conduction is of three types:

1) heat conduction

2) electrical conduction

3)sound conduction

Learn more about conduction,here:

https://brainly.com/question/12136944

#SPJ3

PLEASE HELP ME I AM TIMED!

Answers

Answer: B

Explanation: I can tell the block weights more since the water went down

A car travels 140 miles in 3 hours. What is its velocity?

Answers

Answer:

46.67 miles/s

Explanation:

...........

Show that liquid pressure is directly
proportional to height of liquid in a vessel.​

Answers

Answer:

P=F/A where F is the weight of the water and A is the area on which it is resting. The weight of the water is mg. The mass of the water is dv where d is the density and v is the volume. Finally, the volume of the water in a vessel is equal to the area of the base of the vessel times the height of the vessel. (v=Ah)

Plugging everything in we get:

P = dAhg/A

So

P=dhg

So we have shown that liquid pressure is directly  proportional to height of liquid in a vessel.​

what percentage of global energy consumption do renewable sources currently represent?

Answers

renewable sources represent approximately 11% of global energy consumption. However, please note that the percentage may have changed since then, as the adoption and development of renewable energy sources continue to evolve.

The percentage of global energy consumption from renewable sources is subject to change as advancements in renewable technologies, policy changes, and shifts in energy markets occur. It is always important to consult the latest data and reliable sources for the most up-to-date information on global energy consumption and the proportion contributed by renewable sources. as the adoption and development of renewable energy sources continue to evolve. It's always recommended to refer to the most recent and reliable sources for the most up-to-date information on global energy consumption.

To learn more about energy, https://brainly.com/question/14959619

#SPJ11

Name the type of component that has a greater resistance as the current through it increases​

Answers

Answer:

filament bulb, filament lamp

Explanation:

More length of a wire is a component that has a greater resistance as the current through it increases​.

The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions present in the wire as they pass through. The moving electrons can collide with the ions present in the metal.

This makes more difficult for the current to flow and causes resistance in the wire so we can conclude that more length of a wire is a component that has greater resistance as more current passes through it.

Learn more: https://brainly.com/question/22706894

5 Determine the specific strength and specific stiffness for the following fiber-reinforced composite: Glass fiber strength=3500 MPa Epoxy matrix strength (at composite failure)=7 MPa Volume fraction fibers=0.60 Epoxy modulus=2.41 GPa Average fiber length=5.0 mm Epoxy density=1.20 g/cm Average fiber diameter=0.015 mm Glass fiber density=2.58 g/cm Glass fiber modulus=72.5 GPa Fiber-matrix bond strength=80 MPa

Answers

The specific strength and specific stiffness of the given fiber-reinforced composite are 2565 MPa/g and 17.62 GPa/g, respectively.

To determine the specific strength and specific stiffness, we need to calculate the strength and stiffness of the composite and then normalize them by the weight fraction of the fibers.

1. Calculate the strength of the composite:

The strength of the composite is determined by the strength of the fibers and the fiber volume fraction. Since the fibers are assumed to fail before the matrix, we can use the fiber strength to calculate the composite strength.

Composite strength = Fiber strength × Volume fraction fibers

Composite strength = 3500 MPa × 0.60

Composite strength = 2100 MPa

2. Calculate the stiffness of the composite:

The stiffness of the composite is determined by the properties of both the fibers and the matrix. We can calculate it using the rule of mixtures.

Composite modulus = (Volume fraction fibers × Fiber modulus) + ((1 - Volume fraction fibers) × Matrix modulus)

Composite modulus = (0.60 × 72.5 GPa) + (0.40 × 2.41 GPa)

Composite modulus = 43.5 GPa + 0.964 GPa

Composite modulus = 44.464 GPa

3. Calculate the specific strength and specific stiffness:

Specific strength = Composite strength / Composite density

Specific strength = (Composite strength / Fiber volume fraction) / (Fiber density + Matrix density)

Specific strength = (2100 MPa / 0.60) / (0.60 × 2.58 g/cm + 0.40 × 1.20 g/cm)

Specific strength = 3500 MPa/g

Specific stiffness = Composite modulus / Composite density

Specific stiffness = (Composite modulus / Fiber volume fraction) / (Fiber density + Matrix density)

Specific stiffness = (44.464 GPa / 0.60) / (0.60 × 2.58 g/cm + 0.40 × 1.20 g/cm)

Specific stiffness = 17.62 GPa/g

The specific strength and specific stiffness of the given fiber-reinforced composite are 2565 MPa/g and 17.62 GPa/g, respectively. These values indicate the strength and stiffness of the composite per unit weight of the material, taking into account the properties of both the fibers and the matrix.

To know more about modulus visit :

https://brainly.com/question/30402322

#SPJ11

why don't the weather reports include the heat index during the winter months?

Answers

The heat index, also known as the "feels like" temperature, is a measure of how hot it feels to the human body when relative humidity is factored in with the actual air temperature.

It is typically used during the summer months when high temperatures and humidity levels can lead to increased discomfort and health risks. During the winter months, the heat index is not included in weather reports because the temperatures are generally lower, and the humidity levels are often lower as well. The heat index is specifically designed to provide information about heat-related risks and discomfort associated with high temperatures and humidity. In colder months, the focus of weather reports tends to be on other meteorological factors such as precipitation, wind chill (which factors in the cooling effect of wind on the human body), and freezing conditions. While the heat index may not be included in winter weather reports, meteorologists provide relevant information based on the prevailing conditions to ensure public safety and provide accurate forecasts.

To learn more about heat, https://brainly.com/question/30603212

#SPJ11

26. A solid wheel accelerates at 3.25 rad/s2 when a
force of 4.5 N exerts a torque on it. If the wheel
is replaced by a wheel which has all of its mass
on the rim, the moment of inertia is given by
1 = mr? What force should be exerted on the
strap to give the same angular velocity?

Answers

Answer:

9.0 N

Explanation:

The location of the mass of the wheel on the wheel = Evenly distributed

The acceleration of the solid wheel, α = 3.25 rad/s²

The applied force on the wheel = 4.5 N

The location mass of the replacement wheel = All on (around) the rim

The moment of inertia of the new wheel, I = m·r² (From an online source)

We have;

The moment of inertia for a solid wheel = 1/2·m·r²

The torque, τ = Moment of inertia, I × Acceleration, α

For the solid wheel, we have;

τ  = 1/2·m·r² × 3.25 rad/s²

τ = r × F = r × m × a

For the replacement wheel, we have;

τ  = m·r² × 3.25 rad/s² = 2 × 1/2·m·r² × 3.25 rad/s²

∴ τ = 2 × r × F

Given that the radius remains the same, the force applied on the replacement wheel needs to be doubled

The force that should be exerted on the strap to give the same angular velocity, F' = 2 × F

The required force, F' = 2 × 4.5 N = 9.0 N.

The silica cylinder of a radiant wall heater is 0.6 m long
and has a radius 6 mm. If it is rated at 1.5 kw estimate
its temperature when operating. [The Stefan constant,
6=6 x 10-8 wm-2-4)

Answers

The estimated temperature of the silica cylinder when operating is approximately 227,273 Kelvin.

To estimate the temperature of the silica cylinder in the radiant wall heater, we can use the Stefan-Boltzmann law, which relates the power radiated by a black body to its temperature. The formula is given by:

P = σ * A * T^4

Where:

P is the power radiated (in watts),

σ is the Stefan constant (6 x 10^-8 Wm^-2K^-4),

A is the surface area of the silica cylinder (in square meters),

T is the temperature of the cylinder (in Kelvin).

First, we need to calculate the surface area of the cylinder. The surface area of a cylinder is given by the formula:

A = 2πrh + πr^2

Where:

r is the radius of the cylinder (in meters),

h is the height of the cylinder (in meters).

Given that the radius (r) is 6 mm, which is 0.006 meters, and the length (h) is 0.6 meters, we can calculate the surface area:

A = 2 * π * 0.006 * 0.6 + π * (0.006)^2

A ≈ 0.227 square meters

Now, let's rearrange the Stefan-Boltzmann law to solve for the temperature (T):

T^4 = P / (σ * A)

T = (P / (σ * A))^(1/4)

Substituting the given power rating of 1.5 kW (1.5 * 10^3 W), and the calculated surface area (A ≈ 0.227), we get:

T ≈ (1.5 * 10^3) / (6 * 10^-8 * 0.227)^(1/4)

T ≈ (1.5 * 10^3) / (1.362 * 10^-8)^(1/4)

T ≈ (1.5 * 10^3) / 0.0066

T ≈ 227,273 Kelvin

For such more questions on temperature

https://brainly.com/question/30668924

#SPJ8

Measure of how high or low a sound is

Answers

PITCH
please mark brainliest!!!
The pitch of the sound
Other Questions
Condensed financial data are presented below for the Phoenix Corporation: 20x2 $ 267,500 312,500 670,000 50,000 825,000 252,500 77,500 1,640,000 982,500 10,000 77,500 127,500 71,000 (6,000) 20X1 $230,000 257,500 565,000 60,000 695,000 200,000 75,000 Accounts receivable Inventory Total current assets Intangible assets Total assets Current liabilities Long-term liabilities Sales Cost of goods sold Interest expense Income tax expense Net income Cash flow from operations Cash flow from investing activities Cash flow from financing activities Tax rate (62,500) 304 In a common size balance sheet for 20x2, accounts receivable is expressed as: Multiple Choice a. 16.3% b. 6% c. 32.4%d. 116.3% Which of the following are true about the Cambrian explosion? Fossil evidence is found in the evaporites in TexasA diversity of different phyla with huge anatomical differences all appear at once in the fossil recordFossil evidence is found in the Burgess Shaleprovides evidence for many transitional species with very little anatomical differenceMarks the beginning of the Paleozoic eraIt marks the beginning of the Cambrian period True of false ?Charles dislikes Red Vines Licorice. His indifference curvesare positively-sloped lines or curves with positive verticalintercepts with Red Vines Licorice on the horizontal axis Thinking critically is something you have to do on purpose.Please select the best answer from the choices providedOTOF What is the forward rate if the six-month spot rate is 5% and the one-year spot rate is 9% ? A student makes the following statement: "If the money supply in a country increases, then the level of total production in that country must also increase." Briefly explain whether you agree with this statement. (100 words) Need help please????!!!!!!! I finally started watching my hero academia, its really good but i HATEEE the season long competition thing!! its annoying! same with naruto, u watch an episode thinking ur gonna at least finish the round he is in but nOOOOoOOO Oxygen is produced at the positive electrode Write a balanced half equation for the process at the positive electrode 6- La atmsfera se presenta como una pelcula.La atmsfera es terrestre.La pelcula es fluida.La pelcula es muy delgada.Cmo hacer una oracin corta con la frase Forensic scientists have been called by police to come to a home. There is a dead body in the living room, which has been found by the victim's dog walker when she entered the home through the back door. The front door was shut and locked, and there is no sign of other forced entry. The dog walker states that a vase is missing from the living room. What would be the best question for the forensic scientists to ask in this situation? Where is the missing vase? How did the victim die? How did the robber get in the house? Did the dog walker steal the vase? The accounting records of Nettle Distribution show the following assets and liabilities as of December 31 for Year 1 and Year 2.December 31 Year 1Year 2Cash $ 50,233$ 9,002Accounts receivable 7,26721,377Office supplies 4,3013,150Office equipment 132,033 140,640Trucks 51,666 60,666Building 0172,234Land 042,980Accounts payable 71,68535,554Note payable 0115,214Problem 2-5A (Algo) Part 1Required:1. Prepare balance sheets for the business as of December 31 for Year 1 and for Year 2. Hint: Report only total equity on the balance sheet and remember that total equity equals the difference between assets and liabilities. Which of the following is necessary to appreciate features provided by software applications?a packageO a basic understandingO a basis of comparisonO coding concepts Write an example of DNA before and after a point mutation A clear yellow urine will not contain any pathologically significant constituents.a. Trueb. False Who painted the image above? 1) What motivated the plotters to conspire against kind James ll? 2) The Glorious Revolution is celebrated for establishing religious toleration, but which religious group was left out? What limitations were placed on them? 3) What is the significance of the Glorious Revolution? Question 1 [40 marks]: One area of policy reform that could contribute to higher levels of economic activity is capital gains taxation. Discuss how capital gains taxation can lead to higher levels of Pew research reported in 2013 that 15% of American adults do not use the internet or e-mail. They report a margin of error of 2.3 percentage points. The meaning of that margin of error is: A) If they repeatedly sampled from the population, and constructed a confidence interval for each estimate, about 2.3% of those intervals would capture the proportion of American adults who don't use the internet or e-mail. B) They estimate that 2.3% of those surveyed answered incorrectly. C) There is a 2.3% probability that their estimate is incorrect. D) They are pretty sure that the poll result differs from the actual percentage of American adults who don't use the internet or e-mail by 2.3% or less. help I cant remember what is A slope