Gujarati
Hindi
11.Thermodynamics
normal

An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$ . The total work done is $W$ . Then

A

$P_3 > P_1, W > 0$

B

$P_3 < P_1, W < 0$

C

$P_3 > P_1, W < 0$

D

$P_3 = P_1, W = 0$

Solution

From graph it is clear that $P_{3}>P_{1}$ 

since area under adiabatic process $(BCED)$ is 

greater than that of isothermal process $(ABDE).$

Therefore net work done 

$\mathrm{W}=\mathrm{W}_{\mathrm{i}}+\left(-\mathrm{W}_{\mathrm{A}}\right) \because \mathrm{W}_{\mathrm{A}}>\mathrm{W}_{\mathrm{i}} \Rightarrow \mathrm{W}<0$

Standard 11
Physics

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