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kiruha [24]
3 years ago
11

PROBLEM 5 (Problem 4-145 in 7th edition) Consider a well-insulated horizontal rigid cylinder that is divided into two compartmen

ts by a piston that is free to move but does not allow either gas to leak into the other side. Initially, one side of the piston contains 1 m3 of N2 gas at 500 kPa and 120oC while the other side contains 1 m3 of He gas at 500 kPa and 40oC. Assume the piston is made of 8 kg of copper initially at the average temperature of the two gases on both sides. Now thermal equilibrium is established in the cylinder as a result of heat transfer through the piston. Using constant specific heats at room temperature, determine the final equilibrium temperature in the cylinder. What would your answer be if the piston were not free to move
Physics
1 answer:
kari74 [83]3 years ago
3 0

Answer:

The answer is "\bold{83.8^{\circ} \ C}".

Explanation:

Formula for calculating the mass in He:

\to m = \frac{PV}{RT}\\

        = \frac{500 \times 1}{ 2.0769 \times (40 + 273)}\\\\ = \frac{500 }{ 2.0769 \times 313}\\\\ = \frac{500 }{ 650.0697}\\\\= 0.76914 \ Kg

Formula for calculating the mass in N_2:

\to m = \frac{PV}{RT}\\

        = \frac{500 \times 1}{ 0.2968 \times (120+ 273)}\\\\ = \frac{500 }{ 0.2968 \times 393}\\\\ = \frac{500 }{ 116.6424}\\\\= 4.2866\ Kg

by using the temperature balancing the equation:

T' = \frac{mcT (He) + mcT ( N_2 )}{ mc (He) + mc ( N_2)}

    = \frac{0.76914 \times 3.1156 \times 313 + 4.2866 \times 0.743 \times393}{  0.76914 \times 3.1156 + 4.2866 \times 0.743} \\\\ = 357  \ \ K \approx  83.8^{\circ} \ C

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The three different motions are;

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<h3>What is force diagram?</h3>

Force diagram is a pictorial or graphical illustration of different forces acting on object.

In this given question, there two forces acting on the woman as depicted in the force diagram.

  • The first force is surface force (Fs)
  • The second force is force of Earth (FE)

In the given force diagram, the woman is in equilibrium, this implies that the surface force and the Earth force are equal.

The three different types of motion of the woman that are consistent with the force diagram include the following;

  • The upward motion of the woman is constant
  • The downward motion of the woman is also constant
  • The horizontal motion of the woman is zero since there is no horizontal force on the woman.

Learn more about force diagram here: brainly.com/question/3624253

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4 0
1 year ago
11. Examine the table provided. Which of the objects is producing
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b is the answer tennis ball

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3 years ago
A car turns a certain curve of radius 24.98 m with constant linear speed of
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Answer:

3525.19 kg

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As we know that

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Fc = 34.652 kN = 34652 N

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7 0
3 years ago
a rocket, initially at rest, is fired vertically with a net upward acceleration of 12 m/s2 . at an altitude of 0.50 km, the engi
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The rocket travelled a maximum height at 1.0102 km.

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The acceleration of a rocket (a) = 12 m/s²

The altitude of the rocket (s) =  0.50 km = 0.5×10³m

The maximum height of the rocket (h) = ?

Solution,

A rocket is a spacecraft, aircraft, vehicle or projectile that obtains thrust from a rocket engine.

The rate of change of the velocity of an object with respect to time is known as acceleration. It is denoted by (a).i.e. unit is m/s²

(a) = Δv/Δt

Where , Δv is change in velocity and Δt is change in time.

The rate of change in position with respect to time is known as velocity. i.e. Its unit is m/s.

(v)= Δx/Δt

Where,Δx is the change in position and Δt is change in time & v is velocity.

Therefore we know the equation of motion is written as,

v² = u² +2as

Where, v  is final velocity , u is initial velocity , a is acceleration and s is altitude of the rocket.

Then putting the value ,

v² = 0 + ( 2× 10 × 0.5×10³)m/s

v² = \sqrt{10000} m/s

v = 100 m/s

Therefore, at altitude of 0.50 km the initial velocity of rocket (u) will be 100 m/s, final velocity v become zero and under free falling the acceleration will be taken (-g) then equation of motion can be given as ,

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h = 510.2 m

So that the rocket travelled the maximum height ,

(h)= (0.5 km + 510.2m)

(h) = 1.0102 km

Hence, the rocket travelled at the maximum height h is 1.0102 km

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4 0
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Answer:

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y = 30sin\frac{\pi}{6}t + 45

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1 full revolution is 2\pi. let \theta be the angle of Ron's position.

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one full revolution occurs in 12 sec, so his angle at t time is

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for r = 30 sec

x = 30cos\frac{\pi}{6}t

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however, that is centered at (0,0) and the positioned at time t = 0 is (30,0). it is need to shift so that the start position is (30,45). it can be done by adding to y

x = 30cos\frac{\pi}{6}t

y = 30sin\frac{\pi}{6}t + 45

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3 years ago
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