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 $\mathrm{X}=\frac{3}{2}\mathrm{Rln}\left(\frac{\mathrm{T}}{{\mathrm{T}}_{\mathrm{A}}}\right)+\mathrm{Rln}\left(\frac{\mathrm{V}}{{\mathrm{V}}_{\mathrm{A}}}\right)$ . 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 on one mole of monatomic ideal gas is as shown in the TV-diagram with P₀V₀ = $\frac{1}{3}R{T}_0$ , the correct match is,