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Thermodynamic Processes

Three moles o...

Question

Three moles of an ideal mono atomic gas perform a cycle as shown in the figure. The gas temperature in different states are : $T_{1} = 400 K, T_{2} = 800 K, T_{3} = 2400 K a n d T_{4} = 1200 K$

10 kJ

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20 kJ

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5 kJ

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8.3 kJ

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Solution

The correct option is D 20 kJ
$Given :$ Temperature on different stages, $T_{1} = 400 K, T_{2} = 800 K, T_{3} = 2400 K, T_{4} = 1200 K$

$Solution :$
For isochoric process,
$\frac{P}{T} = C o n s t a n t$
$W_{23} = 3 R \times (T_{3} - T_{2})$
$W_{14} = 3 R (T_{1} - T_{4})$
$∴$ Total workdone = $W_{23} + W_{14} = 3 R (T_{3} - T_{2} + T_{1} - T_{4}) = 3 R \times (2400 - 800 - 400 - 1200) = 3 R \times 800 = 2400 R$
Total workdone = 20 KJ

$Hence B is the correct option$

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Similar questions

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]

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

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)

3

A, B, C, D

T_{A} = 400 K,

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

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