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3 moles of an...

Question

3 moles of an ideal monoatomic gas perform a cycle shown in Fig. 16.19. The gas temperatures $T_{A} = 400 K, T_{B} = 800 K, T_{C} = 2400 K, T_{D} = 1200 K .$ Find the work done by the gas.

20 k J

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30 k J

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40 k J

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50 k J

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Solution

The correct option is A $20 k J$
Process A,D,B and C are isobaric.
A,B,C,D process is isochoric because $\frac{P}{T} = c o n s t a n t$ (Passes through origin, work done during AB,CD=0)
$W_{B C} = 3 R (T_{C} - T_{B})$
$W_{A D} = 3 R (T_{A} - T_{D})$
Total work done is $W_{B C} + W_{A D} = 3 R \times 800 = 2400 R = 20 k J$

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Similar questions

3

A, B, C, D

T_{A} = 400 K,

T_{B} = 800 K, T_{C} = 2400 K, T_{D} = 1200 K .

3

A B C D A

T_{A} = 400 K, T_{B} = 800 K, T_{C} = 2400 K

T_{D} = 1200 K

(R = 8.314 J / m o l e K)

T_{A} = 400 K, T_{B} = 800 K; T_{C} = 2400 K; T_{D} = 1200 K

T_{A} = 600 K, T_{B} = 800 K, T_{C} = 2200 K

T_{D} = 1200 K

A B C D A

T_{1} = 400 K, T_{2} = 800 K, T_{3} = 2400 K,

T_{4} = 1200 K

[R = \frac{25}{3} J / m o l - k]

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