$List-I$ describes thermodynamic processes in four different systems. $List-II$ gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process.
$List-I$$List-II$
$(I)$ $10^{-3} \, kg$ of water at $100^{\circ} C$ is converted to steam at the same temperature, at a pressure of $10^5 \, Pa$. The volume of the system changes from $10^{-6} \, m^3$ to $10^{-3} \, m^3$. Latent heat of water $= 2250 \, kJ/kg$.$(P)$ $2 \, kJ$
$(II)$ $0.2 \, moles$ of a rigid diatomic ideal gas with volume $V$ at temperature $500 \, K$ undergoes an isobaric expansion to volume $3V$. Assume $R = 8.0 \, J \, mol^{-1} \, K^{-1}$.$(Q)$ $7 \, kJ$
$(III)$ One mole of a monatomic ideal gas is compressed adiabatically from volume $V = 1/3 \, m^3$ and pressure $2 \, kPa$ to volume $V/8$.$(R)$ $4 \, kJ$
$(IV)$ Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 \, kJ$ of heat and undergoes isobaric expansion.$(S)$ $5 \, kJ$
$(T)$ $3 \, kJ$

Which one of the following options is correct?

  • A
    $I \rightarrow T, II \rightarrow R, III \rightarrow S, IV \rightarrow Q$
  • B
    $I \rightarrow S, II \rightarrow P, III \rightarrow T, IV \rightarrow P$
  • C
    $I \rightarrow P, II \rightarrow R, III \rightarrow T, IV \rightarrow Q$
  • D
    $I \rightarrow Q, II \rightarrow R, III \rightarrow S, IV \rightarrow T$

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