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 $ 
IIT 2013, Diffcult
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[ $R$ is the gas constant]
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$(2)$ The ratio of heat transfer during processes $1 \rightarrow 2$ and $2 \rightarrow 3$ is $\left|\frac{ Q _{1 \rightarrow 2}}{ Q _{2 \rightarrow 3}}\right|=\frac{5}{3}$
$(3)$ The above thermodynamic cycle exhibits only isochoric and adiabatic processes.
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