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)	${10}^{-3} \mathrm{kg}$ of water $100 °\mathrm{C}$ is converted to steam at the same temperature, at a pressure of ${10}^5\mathrm{Pa}$. The volume of the system changes from ${10}^{-6}{\mathrm{m}}^3$ to ${10}^{-3}{\mathrm{m}}^3$ in the process. Latent heat of water $=2250 \mathrm{kJ} {\mathrm{kg}}^{-1}$	(P)	$2 \mathrm{kJ}$
(II)	$0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500 \mathrm{K}$ undergoes an isobaric expansion to volume $3 V$. Assume $8.0 \mathrm{J} {\mathrm{mol}}^{–1} {\mathrm{K}}^{–1}$	(Q)	$7 \mathrm{kJ}$
(III)	One mole of a monoatomic ideal gas is compressed adiabatically from volume $V=\frac{1}{3}{\mathrm{m}}^3$ and pressure $2 \mathrm{kPa}$ to volume $\frac{V}{8}$.	(R)	$4 \mathrm{kJ}$
(IV)	Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 \mathrm{kJ}$ of heat and undergoes isobaric expansion.	(S)	$5 \mathrm{kJ}$
		(T)	$3 \mathrm{kJ}$

Which one of the following options is correct?

• A

  $\mathrm{I}\to \mathrm{T},\mathrm{II}\to \mathrm{R},\mathrm{III}\to \mathrm{S},\mathrm{IV}\to \mathrm{Q}$
• B

  $\mathrm{I}\to \mathrm{S},\mathrm{II}\to \mathrm{P},\mathrm{III}\to \mathrm{T},\mathrm{IV}\to \mathrm{P}$
• Correct answer
  C

  $\mathrm{I}\to \mathrm{P},\mathrm{II}\to \mathrm{R},\mathrm{III}\to \mathrm{T},\mathrm{IV}\to \mathrm{Q}$
• D

  $\mathrm{I}\to \mathrm{Q},\mathrm{II}\to \mathrm{R},\mathrm{III}\to \mathrm{S},\mathrm{IV}\to \mathrm{T}$

Hence, the correct answer is option: 'C'.