An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in Fig. If the net heat supplies to the gas in the cycle is $5 J$ , the work done by the gas in the process $C \to A$ is?

- 5 J

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- 10 J

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- 15 J

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- 20 J

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Solution

The correct option is A $- 5 J$
For cyclic process,
$Q_{c y c l i c} = W_{A B} + W_{B C} + W_{C A}$
$W_{B C} = 0$ (volume remains constant)
$W_{A B} = P (V_{2} - V_{1}) = 10 (2 -) = 10 J$ (pressure remains constant)
$5 = 10 + W_{C A} \Rightarrow W_{C A} = - 5 J$ .

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An ideal gas is taken through the cycle A→B→C→A, as shown in Fig. If the net heat supplies to the gas in the cycle is 5 J, the work done by the gas in the process C→A is?

The correct option is A −5JFor cyclic process,Qcyclic=WAB+WBC+WCAWBC=0(volume remains constant)WAB=P(V2−V1)=10(2−)=10J (pressure remains constant)5=10+WCA⇒WCA=−5 J.

An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in Fig. If the net heat supplies to the gas in the cycle is $5 J$ , the work done by the gas in the process $C \to A$ is?

The correct option is A $- 5 J$
For cyclic process,
$Q_{c y c l i c} = W_{A B} + W_{B C} + W_{C A}$
$W_{B C} = 0$ (volume remains constant)
$W_{A B} = P (V_{2} - V_{1}) = 10 (2 -) = 10 J$ (pressure remains constant)
$5 = 10 + W_{C A} \Rightarrow W_{C A} = - 5 J$ .