Consider the cyclic process $a b c a$ performed on a sample of $2$ mole of an ideal gas. A total of $1000 c a l$ of heat is withdrawn from the sample in the process. Find the work done by gas during the part $b c$ . (Assume $a b$ to be isobaric process and take $R = 2 c a l /^{\circ} C / m o l$ )

- 1000 c a l

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- 1800 c a l

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- 2400 c a l

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- 3000 c a l

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Solution

The correct option is B $- 1800 c a l$
For process $a b$
It is an isobaric process.
$\Rightarrow Δ W_{a b} = P △ V = n R [T_{b} - T_{a}] = 2 \times 2 [500 - 300] \Rightarrow Δ W_{a b} = 800 c a l$
For process $c a$ : Isochoric process
$\Rightarrow W_{c a} = 0 c a l$
In cyclic process, $△ Q = △ W$
$\Rightarrow △ Q = △ W_{a b} + △ W_{b c} + △ W_{c a} \Rightarrow - 1000 = 800 + △ W_{b c} + 0 \Rightarrow △ W_{b c} = - 1800 c a l$

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Consider the cyclic process abca performed on a sample of 2 mole of an ideal gas. A total of 1000 cal of heat is withdrawn from the sample in the process. Find the work done by gas during the part bc. (Assume ab to be isobaric process and take R=2 cal/∘C/mol)

The correct option is B −1800 calFor process ab It is an isobaric process. ⇒ΔWab=P△V=nR[Tb−Ta]=2×2[500−300]⇒ΔWab=800 cal For process ca: Isochoric process ⇒Wca=0 cal In cyclic process, △Q=△W ⇒△Q=△Wab+△Wbc+△Wca⇒−1000=800+△Wbc+0⇒△Wbc=−1800 cal

Consider the cyclic process $a b c a$ performed on a sample of $2$ mole of an ideal gas. A total of $1000 c a l$ of heat is withdrawn from the sample in the process. Find the work done by gas during the part $b c$ . (Assume $a b$ to be isobaric process and take $R = 2 c a l /^{\circ} C / m o l$ )