A pressure vessel that has a volume of 10m3 is used to store high-pressure air for operating a supersonic wind tunnel. If the air pressure and temperature inside the vessel are 20 atm and 300K, respectively: What is the mass of air stored in the vessel

Answers

Answer 1

Answer:

The mass of air stored in the vessel is 235.34 kilograms.

Explanation:

Let supossed that air inside pressure vessel is an ideal gas, The density of the air ([tex]\rho[/tex]), measured in kilograms per cubic meter, is defined by following equation:

[tex]\rho = \frac{P\cdot M}{R_{u}\cdot T}[/tex] (1)

Where:

[tex]P[/tex] - Pressure, measured in kilopascals.

[tex]M[/tex] - Molar mass, measured in kilomoles per kilogram.

[tex]R_{u}[/tex] - Ideal gas constant, measured in kilopascal-cubic meters per kilomole-Kelvin.

[tex]T[/tex] - Temperature, measured in Kelvin.

If we know that [tex]P = 2026.5\,kPa[/tex], [tex]M = 28.965\,\frac{kg}{kmol}[/tex], [tex]R_{u} = 8.314\,\frac{kPa\cdot m^{2}}{kmol\cdot K}[/tex] and [tex]T = 300\,K[/tex], then the density of air is:

[tex]\rho = \frac{(2026.5\,kPa)\cdot \left(28.965\,\frac{kg}{kmol} \right)}{\left(8.314\,\frac{kPa\cdot m^{2}}{kmol\cdot K} \right)\cdot (300\,K)}[/tex]

[tex]\rho = 23.534\,\frac{kg}{m^{3}}[/tex]

The mass of air stored in the vessel is derived from definition of density. That is:

[tex]m = \rho \cdot V[/tex] (2)

Where [tex]m[/tex] is the mass, measured in kilograms.

If we know that [tex]\rho = 23.534\,\frac{kg}{m^{3}}[/tex] and [tex]V = 10\,m^{3}[/tex], then the mass of air stored in the vessel is:

[tex]m = \left(23.534\,\frac{kg}{m^{3}} \right)\cdot (10\,m^{3})[/tex]

[tex]m = 235.34\,kg[/tex]

The mass of air stored in the vessel is 235.34 kilograms.


Related Questions

Explain how to identify a starting position on a line.

Answers

Answer:

We can easily find out the beginning point of the line by using dot representation. When it comes to position vector, it expresses the exact position of certain object from the starting point of the coordinate system. The vector is a straight line that has a certain end which is fixed to its body.

Position vectors are used to determine the starting position of a line with reference to the origin or starting point of  the coordinate system

Position vectors start at the origin and terminate at any arbitrary point.

In terms of position of a line, position vectors depict the exact position of a line from the starting point of the coordinate system.

In terms of direction of the line, the direction of the position vector points from the starting point of  the coordinate system towards the given point.

Thus, we can conclude that position vectors are used to determine the starting position of a line with reference to the origin or starting point of  the coordinate system.

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Analyze each line (A,B,C and D) on this graph to describe the acceleration, and
conclude which line represents the highest acceleration during time 10 sec to 15 sec.

Answers

Answer:

i think the 2nd one

the first=0 b/c it's initial velocity and final ones are equal the third one is constant

Which sphere of Earth do humans exist in?
O atmosphere
O biosphere
O hydrosphere
O lithosphere

Answers

Biosphere is the answer, hope i helped :))
The answer would be Biosphere

Water boils to power a steam engine. Which statement best describes the changes in the water as it boils?

Answers

Option B

kskmsnsnsmjsjsn

Answer:

C. The potential energy of the particles increases as the intermolecular forces are overcome

Explanation:

can someone help me :(​

Answers

Answer:

1. This is a speed graph.

2. The slope represents how much the item/ thing is moving at how much distance it moved and the minutes it takes it too move how much distance, but the slope is representing the decrease and increase of it.

3. Increasing, kind of rapidly going up since the slope is rising not falling.

A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume r. (a) Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge density r. (b) What is the electric field at a point outside the volume in terms of the charge per unit length l in the cylinder

Answers

Answer:

Explanation:

From the given information.

The charge density of the cylinder can be computed as:

[tex]\rho = \dfrac{Q_t}{V_t}[/tex]

where:

[tex]Q_t[/tex] = total charge on cylinder

[tex]\rho[/tex] = density of the cylinder

[tex]V_t =[/tex] net volume on cylinder

Considering the charge enclosed by the Gaussian surface; we have:

Q = ρV

Now, determining the volume of the cylinder at a distance r from the axis of the cylinder as follows:

[tex]\int Edsn = \dfrac{q}{\varepsilon_o}[/tex]

Here;

[tex]\hat E \ \ and \ \ \hat n[/tex] are in the same direction;

If we replace [tex]\int Edsn[/tex] with [tex]E ( 2 \pi rl)[/tex] and q with [tex]\rho \pi r^2 l[/tex]; Then:

[tex]E ( 2 \pi rl ) = \dfrac{\rho \pi r^2 l}{\varepsilon _o}[/tex]

By rearrangement;

[tex]E = \dfrac{\rho \pi r^2 l}{ ( 2 \pi rl ) \varepsilon _o}[/tex]

[tex]\mathbf{E = \dfrac{\rho r}{ 2 \varepsilon _o}}[/tex]

(b)

Using the same formula:

[tex]\int Edsn = \dfrac{q}{\varepsilon_o}[/tex]

where;

[tex]\hat E \ \ and \ \ \hat n[/tex] are in the same direction;

If we replace [tex]\int Edsn[/tex] with [tex]E ( 2 \pi rl)[/tex] and [tex]Q_t[/tex] with q;

Then:

[tex]E ( 2 \pi rl ) = \dfrac{Q_t}{\varepsilon _o}[/tex]

[tex]E = \dfrac{Q_t}{( 2 \pi R l ) \varepsilon _o}[/tex]

Replacing [tex]\lambda[/tex] for [tex]\dfrac{Q_t}{l}[/tex].

From above [tex]\lambda[/tex] = the charge per unit length

[tex]\mathbf{E = \dfrac{\lambda}{ 2 \pi R \varepsilon _o}}[/tex]

Two sprinters A and B of mass 70kg ad 55kg respectively are running with the
same speed in the same direction. Which of the following is NOT true?
1) A has a greater Kinetic energy
Greater force is needed to stop A
The momentum of A is greater than B
iv)
B will finish the race before A
V B has greater kinetic energy
A. ii) and iv) only B. v) only C. iii), iv )and v) only D. iv) and v) only

Answers

Only ( IV and V).

A has a greater kinetic energy since the tow runners start with the same speed, in the same direction. K = 1/2mv^2, meaning that the greater value of m (70kg) will constitute for a greater kinetic energy if v is the same speed for both sprinters. I True.

The greater the kinetic energy, the greater the force will be needed to make the sprinter come to a complete stop. II True.

Momentum is defined as p=mv. If both sprinters begin with the same value of v, mv of A will be greater than mv of B, meaning that the momentum of A is greater than B. III True.

If they begin with the same speed, they will finish the race at the same time. Therefore, B will NOT finish the race before A. Statement IV false.

It was stated before that the kinetic energy of A is greater than the kinetic energy of B, so it makes statement V false.

The answer is D (only IV and V).

Which of the following examples, would best represent the input energy and then
'wasted energy forms when watching TV.
A. Chemical, and then heat and electrical.
B. Chemical, and then heat, kinetic, sound
C. Electrical, and light, sound, heat
D. Electrical, and then sound and heat

Answers

Answer:

I think the answer is c electrical, and light , sound hewt

You are walking down a straight path in a park and notice there is another person walking some distance ahead of you. The distance between the two of you remains the same, so you deduce that you are walking at the same speed of 1.17 m/s. Suddenly, you notice a wallet on the ground. You pick it up and realize it belongs to the person in front of you. To catch up, you start running at a speed of 2.75 m/s. It takes you 14.5 s to catch up and deliver the lost wallet. How far ahead of you was this person when you started running

Answers

Answer:

Δx = 23.0 m

Explanation:

Since we know the time passed from the moment you picked up the wallet till you catch the other person up, and assuming that he continued moving at 1.17 m/s, we can find the distance traveled by him during this time, applying the definition of average speed, and rearrranging terms as follows:

       [tex]x_{2} = v_{2} * t = 1.17m/s * 14.5 s = 17.0 m (1)[/tex]

Now, as we know the speed at which you started to run, assuming that the speed kept constant during all the time since you picked the wallet up, we can find the total distance till you got to deliver the wallet, as follows:

       [tex]x_{1} = v_{1} * t = 2.75 m/s * 14.5 s = 40.0 m (2)[/tex]

the distance that you were behind the other person when you started running, is just the difference between (2) and (1):Δx = x₂ - x₁ = 40.0 m - 17.0 m = 23.0 m (3)

5 points
A ball is thrown upward from y=0, with an initial velocity vo and then slows down with constant acceleration due to
the Earth's gravity. The ball comes to rest at a height h. Which one of the following formulas correctly states the
distance, h, to the top of the trajectory in terms of the initial velocity?

Answers

Answer:

[tex] \frac{{v}^{2} g}{2 } [/tex]

state the law of nature​

Answers

Answer:

Law of nature, in the philosophy of science, a stated regularity in the relations or order of phenomena in the world that holds, under a stipulated set of conditions, either universally or in a stated proportion of instances. ...

It is not killing plants the same thing as this...

Example:natural law in our society is that it is wrong for one person to kill another person.

Please answer this question correctly

Answers

The answer is B, 14 Seconds

Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 43 cm. (a) How much work is needed to stretch the spring from 33 cm to 38 cm

Answers

Answer:

Workdone = 0.67 Joules

Explanation:

Given the following data;

Workdone = 6J

Extension = 43 - 28 = 15cm to meters = 15/100 = 0.15m

The workdone to stretch a string is given by the formula;

Workdone = ½ke²

Where;

k is the constant of elasticity.

e is the extension of the string.

We would solve for string constant, k;

6 = ½*k*0.15²

6 = ½*k*0.0225

Cross-multiplying, we have;

12 = 0.0225k

k = 12/0.0225

k = 533.33N/m

a. To find the workdone when e = 33, 38.

Extension = 38 - 33 = 5 to meters = 5/100 = 0.05m

Workdone = ½*533.33*0.05²

Workdone = 266.67 * 0.0025

Workdone = 0.67 Joules

Therefore, the amount of work (in J) needed to stretch the spring from 33 cm to 38 cm is 0.67.

Two dump trucks each have a mass of 1,500 kg. The distance of the dump truck
is 50m. What will the new gravitational force be between them?

Answers

Answer:

6.00 x 10⁻⁸N

Explanation:

Given parameters:

Mass of each dump trucks  = 1500kg

Distance between them  = 50m

Unknown:

New gravitational force between them = ?

Solution:

From Newton's law of universal gravitation,

        F = [tex]\frac{G m1 m2}{r^{2} }[/tex]  

F is the gravitational force

G is the universal gravitation constant

m is the mass

r is the distance

           F  = [tex]\frac{6.67 x 10^{-11} x 1500 x 1500}{50^{2} }[/tex]    = 6.00 x 10⁻⁸N

someone help me is physics

Answers

Answer:

I don't know, but my class ends in like 30 mins so im superrrr happy. Please shut up thought because no one cares. Just kidding that was a joke it helps your math knowledge go up, ha ha. Do you understand what im saying?

Explanation:

What is the IMA of an inclined plane that is 5m long and 2m high?
A. 0.4
B. 2.5
C. 0.4m
D. 2.5m

Answers

Answer:

B. 2.5

not 2.5m because IMA is unitless.

The identical mechanical advantage of the inclined plane is 2.5.

What is mechanical advantage of inclined plane ?

The concept of work, which asserts that work produced through a basic machine (the lever) is equal to the work input, forms the basis for the mechanical advantage of the inclined plane. The length of the slope divided by the height of the inclined plane represents the inclined plane's mechanical advantage.

Given parameters:

Length of the inclined plane; d = 5 m.

Height of the inclined plane; h = 2 m.

So, identical mechanical advantage (IMA) of the inclined plane is = Length of the inclined plane ÷ Height of the inclined plane

= 5 m/2 m

= 2.5.

Hence, the  identical mechanical advantage (IMA) of an inclined plane that is 5m long and 2m high is 2.5.

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A 12 volt battery will increase the potential energy of 4 coulombs of charge by _____ Joules.

Question 8 options:

16 J


3 J


.33J


48 J

Answers

Answer:

Explanation:

Given parameters:

Voltage  = 12V

Quantity of charge  = 4C

Unknown:

Potential energy  = ?

Solution:

Within this circuit, the value of the potential energy can be found using the expression below:

   Potential energy  = [tex]\frac{1}{2}[/tex] c v²  

c is the quantity of charge

v is the voltage

 Potential energy   =  [tex]\frac{1}{2}[/tex] x 4 x 12²  = 288J

A 0.836 kg toy car is powered by two C cells (3.00 V total) connected directly to a small DC motor. The car has an effective energy conversion efficiency of 47.1%, meaning that 47.1% of the electric energy applied to the motor is converted into translational kinetic energy. After 7.15 s, the car, which is initially at rest, reaches a speed of 1.81 m/s. What is the average current supplied to the car's motor?

Answers

Answer:

  I = 0.160 A

Explanation:

For this exercise we must calculate the power supplied to the motor

power is the work done between the time interval

      P = W / t

      W = F x

      P = [tex]\frac{F \ x}{t}[/tex]

the force is

       F = ma

let's use kinematics

       v = v₀ + a t

as part of rest v₀ = 0

       a = v / t

       a = 1.81 / 7.15

       a = 0.253 m / s

therefore the applied force is

       F = m a

       F = 0.836 0.253

       F = 0.212 N

to calculate the work, let's find the distance traveled

       x = v₀ t + ½ a t²

       x = 0+ ½ a t²

       x = ½ 0.253 7.15²

       x = 6.457 m

therefore The power developed in this movement by the motor

       P = 0.212  6.457/7.15

       P = 0.19145 W

Let's use a direct proportion rule. If the for a supplied power of Ps = 1W to use 0.471W, what power is united when the effective is 0.19145 W

       P_s = 0.19145 W (0.471W/1W)

       P_s = 0.4786 W

       P_s = 0.479 W

how electrical power is

       P = I V

we assume that the batteries are not discharged during the experiment

        I = P / V

electrical power equals supplied power

        P = Ps

calulate

        I = 0.479 / 3.00

        I = 0.1597 A

        I = 0.160 A

The ratio of power delivered to the electric potential is equal to the average current flow.

The required magnitude of the average current supplied to the car's motor is 0.064 A.

What is the average current?

The amount of electric charges passing through a specific point in a certain period of time is known as an average current.

Given data -

The mass of the toy car is, m = 0.836 kg.

The combined electric potential of two cells is, V' = 3.00 V.

The energy conversion efficiency is, [tex]\eta =47.1 \%[/tex].

The time interval is, t = 7.15 s.

The final speed of car is, v = 1.81 m/s.

The power produced by the two cell is,

P = W / t

P = (F × d)/t

Here,

F is the force exerted on the toy car.

d is the distance traveled by car in the given time interval.

     

The magnitude of the force is given as,

F = ma

here, a is the magnitude of acceleration.

Now, using the first kinematic equation of motion as,

v = v₀ + a t

As part of rest v₀ = 0

a = v / t

a = 1.81 / 7.15

a = 0.253 m / s²

Therefore the applied force is

F = m a

F = 0.836 × 0.253

F = 0.212 N

To calculate the work, let's find the distance traveled from the second kinematic equation of motion,

d = v₀ t + ½ at²

d = 0+ ½ a t²

d = ½ 0.253 7.15²

d = 6.457 m

Finally, the power developed in this movement by the motor is,

P = (0.212 × 6.457)/7.15

P = 0.19145 W

Now, the expression for the power developed is also given as,

P = V × I

Here,

I is the magnitude of the average current.

Solving as,

I = P / V

I = 0.19145/3.00

I = 0.064 A

Thus, we can conclude that the required magnitude of the average current supplied to the car's motor is 0.064 A.

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HELP URGENT WILL GIVW BRAINLIEST

Answers

Answer: IT IS C TRUST ME DID IT

Explanation: OK BYE GOOD LUCK

1 point) One of Kepler's three laws of planetary motion states that the square of the period, P, of a body orbiting the sun is proportional to the cube of its average distance, d, from the sun. The Earth has a period of 365 days and its distance from the sun is approximately 93,000,000 miles. (a) Find P as a function of d. P(d)

Answers

Answer:

P = √1.66 * 10^-19 days^2miles^-3d^3

Explanation:

The mathematical statement of Kepler's third law is;

P^2 α d^3

Where;

P = Period of the body orbiting the sun

d = its average distance from the sun

Introducing a constant of proportionality K, known as Kepler's constant then;

P^2 = Kd^3

K = P^2/d^3

P=365 days

d = 93,000,000 miles

K = (365)^2/(93,000,000)^3

K=1.66 * 10^-19 days^2miles^-3

P = √1.66 * 10^-19 days^2miles^-3d^3

Using the formula at the beginning of this lesson, calculate the wavelength of a signal from KPhET 98.7. Remember that FM stations transmit in the Megahertz range. This means that KPhET is transmitting a frequency of 9.87 x10∧7 hz. What is the wavelength of the signal from this radio station?

Answers

Answer:

3.04 m ???

Explanation:

The wavelength of the signal from  KPhET 98.7 radio station is 3.05 meter.

What is electromagnetic wave?

EM waves are another name for electromagnetic waves. When an electric field interacts with a magnetic field, electromagnetic waves are created. These electromagnetic waves make up electromagnetic radiations.

It is also possible to say that electromagnetic waves are made up of magnetic and electric fields that are oscillating. The basic equations of electrodynamics, Maxwell's equations, have an answer in electromagnetic waves.

As radio wave is electromagnetic wave, the speed of radio wave is 3.0×10⁸ m/s.

Given frequency of KPhET  is 9.87 x10⁷ Hz.

Hence, the wavelength of the signal from this radio station is = ( velocity ÷ frequency)

= 3.0×10⁸ m/s ÷  9.87 x10⁷ Hz.

= 3.05 meter.

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You are standing on a street corner with your friend. You then travel 14.0 m due west across the street and into your apartment building. You travel in the elevator 22.0 m upward to your floor, walk 12.0 m north to the door of your apartment, and then walk 6.0 m due east to your balcony that overlooks the street. Your friend is standing where you left her.
Now how far are you from your friend?
Express your answer with the appropriate units.

Answers

Answer:

Explanation:

We shall express each displacement vectorially , i for each unit displacement towards east , j for northward displacement and k for vertical displacement .

14 m due west = - 14 i

22.0 m upward in the elevator = 22 k

12 m north = 12 j

6.00 m east = 6 i

Total displacement = - 14 i + 22 k + 12 j + 6 i

D = - 8 i + 12 j + 22 k

magnitude = √ ( 8² + 12² + 22² )

= √ ( 64 + 144 + 484 )

= √ 692

= 26.3 m

Net displacement from starting point = 26.3 m .

_____ alloy panels have replaced ceramic tiles on the space shuttle's
heat shield because they are less prone to cracking.

please help, will mark brainliest if answer turns out to be correct

Answers

Answer:

Fibrous refractory composite insulation (FRCI) tiles

Answer:

Umm... FRCI tiles can't be correct; they're made of 99.9% pure silica fibers, which are basically porcelain. Sounds like the answer is aluminium.

Explanation:

I am not well-versed on this; I looked it up. But I hope you get it right!

If a large number of waves pass by a certain point in a given time, the waves have a low frequency. none of the above. a high frequency. it doesn't affect frequency.

Answers

Answer:

Another term used to describe a wave is frequency. Since waves are moving, we define frequency as the number of waves that pass a given point in a specified unit of time. The unit commonly used is Hertz which is the number of wave cycles pass a point in one second. So one cycle per second equals one Hertz

the feather experiences 0.075 N of downward force. Assuming it is on earth, what is its mass?

Answers

Answer:

The mass of the feather would be 0.0075 kg.

Explanation:

If the feather were to be on earth, it would have experienced the gravitational pull of the earth downwards. So that from Newton's second law of motion,

F = mg

where f is the force on the object, m is the mass of the object and g is the acceleration due to gravity of the earth.

But, F = 0.075 N, g = 10 m/[tex]s^{2}[/tex].

So that,

0.075 = m x 10

m = [tex]\frac{0.075}{10}[/tex]

   = 0.0075 kg

The mass of the feather would be 0.0075 kg.

The __________________ is the entire range of Electromagnetic Waves.
Absorption
Opaque
Electromagnetic Spectrum
Refraction
✧・゚: *✧・゚:* *:・゚✧*:・゚✧✧・゚: *✧・゚:* *:・゚✧*:・゚✧✧・゚: *✧・゚:* *:・゚✧*:・゚✧✧・゚: *✧・゚:* *:・゚✧*:・゚✧

Answers

Answer:

I think its the electromagnetic spectrum

is anyone good at physics like Newton's Laws if so can you say yes and come to this post at 12:03 I will give you 50 points.​

Answers

Answer:

Yep

Explanation:

I need help with this question

Answers

Option 3) a Soccer Ball

will travel the farthest distance.

Answer:

a bowling ball

pls follow me and Mark as brainliest and follow me to get free thanks to all your answers

An fm radio station broadcast electromagnetic waves at a frequency of 94.5 MHz(9.45x10^7 Hz) these radio waves have a wavelength of 3.17 m. What is the speed of the waves?

Answers

Answer:

94,5 x 3,17 = 299,565 m/s

Explanation:

To find the speed of waves (V), you just need to multiply wavelength with frequency. That's all.

The speed of the given electromagnetic waves is equal to 3 × 10⁸ m/s.

What are frequency and wavelength?

The frequency can be described as the number of oscillations of a wave in 1 second. The S.I. units of the frequency can be represented as per second or hertz.

The wavelength can be described as the distance between the two points in phase on the wave w.r.t. each other. The separation between two crests or two troughs on a wave is known as wavelength.

The relation between the wavelength (λ) of the wave, frequency (ν), and speed of the wave (V) can be written as:

V = νλ

Given, the frequency of the wave, ν = 94.5 MHz = 94.5 ×10⁶ s⁻¹

The wavelength of the waves, λ  = 3.17 m

The speed of the waves can determine from the above-mentioned relationship:

V = λν = 3.17 × 94.5 ×10⁶ =  3 × 10⁸ m/s

Therefore, the speed of the wave is equal to 3 × 10⁸ m.

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Believing that Nick will not be a good waiter because he is 60 years old is an example of O Stereotype O Prejudice Situational attribution All of the above​

Answers

Ya so quid fuh doil em yous
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