# Directions: Question are based on the following paragraph.Two moles of helium gas are taken over the cycle $\dpi{100} ABCDA$, as shown in the $\dpi{100} P-T$ diagram.Question: Assuming the gas to be ideal the work done on the gas in taking it from $\dpi{100} A\; to\; B$ is Option 1) $200R$ Option 2) $300R$ Option 3) $400R$ Option 4) $500R$

Answers (1)

As we learnt in

Reversible Isobaric Process -

$W=P\left ( V_{f}-V_{i} \right )$

- wherein

$P_{gas}= constant$

Since pressure of gas is defined during whole of the process and hence the process must be reversible

WAB = P.$\Delta$V= n R$\Delta$T = 2 $\times$ (500-300) R = 400 R

Option 1)

$200R$

This option is incorrect.

Option 2)

$300R$

This option is incorrect.

Option 3)

$400R$

This option is correct.

Option 4)

$500R$

This option is incorrect.

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