Answer the following by appropriately matching the lists based on the information given in the paragraph.
In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by  $T\Delta X$, where T is temperature of the system and $\Delta X$ is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas $X=\frac{3}{2}R\ln \left(\frac{T}{T_A}\right)+R\ln \left(\frac{V}{V_A}\right)$ . Here R is gas constant, V is volume of gas and T_A and V_A are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.

List-I	List-II
I) Work done by the system in process $1\to 2\to 3$	P)  $\frac{1}{3}R{T}_0\ln 2$
II) Change in internal energy in process  $1\to 2\to 3$	Q)  $\frac{1}{3}R{T}_0$
III) Heat absorbed by the system in process  $1\to 2\to 3$	R)  $R{T}_0$
IV) Heat absorbed by the system in process  $1\to 2$	S)  $\frac{4}{3}R{T}_0$
	T)  $\frac{1}{3}R{T}_0\left(3+\ln 2\right)$
	U)  $\frac{5}{6}R{T}_0$

 

If the process carried out on one mole of monatomic ideal gas is as shown in figure in the PV-diagram with P₀V₀ =$\frac{1}{3}R{T}_0$  , the correct match is,

 

• A

  I$\to$ Q, II$\to$ R, III $\to$P, IV $\to$U

• B

  I $\to$Q, II $\to$R, III$\to$ S, IV $\to$U

• C

  I $\to$Q, II $\to$S, III $\to$R, IV$\to$ U

• D

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