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  • One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is_________ J (nearest integer )  &

One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is_________ J (nearest integer )

                                          

Option: 1

6


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \mathrm{I} \rightarrow \mathrm{II} \rightarrow \text { Isobaric } \\ & \mathrm{II} \rightarrow \mathrm{III} \rightarrow \text { Isochoric } \\ & \mathrm{III} \rightarrow \mathrm{I} \rightarrow \text { Isothermal } \\ & \mathrm{W}_{\mathrm{I}-\mathrm{II}}=-1[40-20]=-20 \text { Lit atm } \\ & \mathrm{W}_{\mathrm{II}-\mathrm{III}}=0 \\ & \mathrm{~W}_{\mathrm{IV}-\mathrm{I}}=2.303 \mathrm{nRt} \log \frac{\mathrm{V}_2}{\mathrm{~V}_1} \end{aligned}

\begin{aligned} & =2.303 \mathrm{PV} \log \frac{\mathrm{V}_2}{\mathrm{~V}_1} \\ & =2.303(1 \times 20) \log 2 \\ & =2.303 \times 20 \times 0.3010=13.818 \\ \mathrm{~W} \text { total } & =-20+13.818=(-6.182 \text { lit alm })=6.182 \text { lit alm } \end{aligned}

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