One mole of a monatomic ideal gas undergoes the cyclic process $J \rightarrow K \rightarrow L \rightarrow M \rightarrow J$,as shown in the $P - T$ diagram. Match the quantities mentioned in $List-I$ with their values in $List-II$ and choose the correct option. [$R$ is the gas constant]
$List-I$$List-II$
$(P)$ Work done in the complete cyclic process$(1)$ $R T_0 - 4 R T_0 \ln 2$
$(Q)$ Change in the internal energy of the gas in the process $JK$$(2)$ $0$
$(R)$ Heat given to the gas in the process $KL$$(3)$ $3 R T_0$
$(S)$ Change in the internal energy of the gas in the process $MJ$$(4)$ $-2 R T_0 \ln 2$
$(5)$ $-3 R T_0 \ln 2$

  • A
    $P \rightarrow 1 ; Q \rightarrow 3 ; R \rightarrow 5 ; S \rightarrow 4$
  • B
    $P \rightarrow 4 ; Q \rightarrow 3 ; R \rightarrow 5 ; S \rightarrow 2$
  • C
    $P \rightarrow 4 ; Q \rightarrow 1 ; R \rightarrow 2 ; S \rightarrow 2$
  • D
    $P \rightarrow 2 ; Q \rightarrow 5 ; R \rightarrow 3 ; S \rightarrow 4$

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One mole of an ideal gas is taken through a cyclic process with alternating isothermal and adiabatic curves. In the $P-V$ diagram, $AB, CD, EF$ are isothermal curves at absolute temperatures $T_1, T_2,$ and $T_3$ respectively, and $BC, DE,$ and $FA$ are adiabatic curves. If $\frac{V_B}{V_A} = 2$ and $\frac{V_D}{V_C} = 2$, then for the cycle shown in the figure, four statements are made below. (Figure is not drawn to scale)
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