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An ideal gas undergoes cyclic process as shown in density pressure graph. During the process $AB$ the work done $|W_{AB}| = 70\,J$ . During the process $BC$, the gas absorbs $150\,J$ of heat. During the process $CA$ , gas undergoes expansion and does $210\,J$ of work
The efficiency of cyclic process is $33\%$
The efficiency of cyclic process is $66\%$
The process $CA$ is adiabatic
The process $BC$ is isothermal
Solution
| $Q$ | $\Delta U$ | $W$ | |
| $AB$ | $-70$ | $0$ | $-70$ |
| $BC$ | $150$ | $150$ | $0$ |
| $CA$ | $60$ | $-150$ | $210$ |
$\eta=\frac{140}{210} \times 100 \%=60 \%$
Similar Questions
One mole of a monatomic ideal gas is taken along two cyclic processes $E \rightarrow F \rightarrow G \rightarrow E$ and $E \rightarrow F \rightarrow H \rightarrow$ E as shown in the $PV$ diagram. The processes involved are purely isochoric, isobaric, isothermal or adiabatic. $Image$
Match the paths in List $I$ with the magnitudes of the work done in List $II$ and select the correct answer using the codes given below the lists.
| List $I$ | List $I$ |
| $P.$ $\quad G \rightarrow E$ | $1.$ $\quad 160 P_0 V_0 \ln 2$ |
| $Q.$ $\quad G \rightarrow H$ | $2.$ $\quad 36 P _0 V _0$ |
| $R.$ $\quad F \rightarrow H$ | $3.$ $\quad 24 P _0 V _0$ |
| $S.$ $\quad F \rightarrow G$ | $4.$ $\quad 31 P_0 V_0$ |
Codes: $ \quad \quad P \quad Q \quad R \quad S $
