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Elden [556K]
3 years ago
10

A gas undergoes a process in a piston–cylinder assembly during which the pressure-specific volume relation is pv1.1 = constant.

The mass of the gas is 0.4 lb and the following data are known: p1 = 160 lbf/in.2, V1 = 1 ft3, and p2 = 300 lbf/in.2 During the process, heat transfer from the gas is 2.1 Btu. Kinetic and potential energy effects are negligible. Determine the change in specific internal energy of the gas, in Btu/lb.
Physics
1 answer:
Sati [7]3 years ago
8 0

Answer:

\Delta u = 53.99 Btu/lbm

Explanation:

given data:

P_1 = 160 lbf/in^2 = 23040 lbf/ft^2

P_2 = 300 lbf/in^2 = 56160 lbf/ft^2

V_1 = 1ft^3

Q = - 2.1 Btu

PV^{1.1} = constant

P_1V_1^{1.1} = P_2V_2^{1.1}

V_2 = V_1 [\frac{P_1}{P_2}]^{1.1}

       =  1 [\frac{23040}{56160}]^{\frac{1}{1.1}

       = 0.44 ft^3

work done during polytropic process

w = \frac{P_2V_2 - P_1V_1}{1-n}

   = \frac{56160 \times 0.4759 - 23040\times 1}{1 - 1.2}

   = -18442.1 ft lbf

we know 1 Btu = 778.169 ft. lbf, therefore

w = -23.6993 Btu

Q = W + m\Delta u

-2.1 = - 23.6993 + 0.4 \Delta u

\Delta u = 53.99 Btu/lbm

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belka [17]

Answer:

The speed of the ball was, v = 3 m/s

Explanation:

Given data,

The time period of the ball, t = 8 s

The distance the ball rolled, d = 24 m

The velocity of an object is defined as the object's displacement to the time taken. The formula for the velocity is,

                              v = d / t      m/s

Substituting the given values in the above equation,

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3 0
3 years ago
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How long does it take for a train to increase its velocity from 10m/s to 40m/s if it accelerates at 3 m/s
DIA [1.3K]

Answer:

Explanation:

Givens

Vi = 10 m/s

Vf = 40 m/s

a = 3 m/s^2

Formula

a = (vf - vi) /t              Substitute the givens into this formuls

Solution

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3*t = t(40 - 10)/t        Combine. Cancel t's on the right

3*t = 30                     Divide by 3

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3 years ago
Q = cmAT
castortr0y [4]

Answer: Q=3000 cal

Explanation:

We are given the following formula:

Q=m. c. \Delta T   (1)

Where:

Q=3000 cal is the amount of heat

m=300g  is the mass  of water

c=1 cal/g \°C  is the specific heat of water

\Delta T  is the variation in temperature, which in this case is  \Delta T=30\°C-20\°C=10\°C  

Rewriting equation (1) with the known values at the right side, we will prove the result is 3000 cal:

Q=(300g)(1 cal/g \°C)(10\°C)   (2)

Q=3000 cal   This is the result

8 0
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