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JEE Advance 2019
Paper-2
Question
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 $\mathrm{T} \Delta \mathrm{X}$, where T is temperature of the system and $\Delta \mathrm{X}$ is the infinitesimal change in a thermodynamic quantity $X$ of the system. For a mole of monatomic ideal gas $\mathrm{X}=\frac{3}{2} \mathrm{R} \ln \left(\frac{\mathrm{T}}{\mathrm{T}_{\mathrm{A}}}\right)+\mathrm{R} \ln \left(\frac{\mathrm{V}}{\mathrm{V}_{\mathrm{A}}}\right)$. Here, R is gas constant, V is volume of gas, $\mathrm{T}_{\mathrm{A}}$ and $\mathrm{V}_{\mathrm{A}}$ are constants.

The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities. If the process on one mole of monatomic ideal gas is an shown is as shown in the TV-diagram with $P_0 V_0=\frac{1}{3} R T_0$, the correct match is
Select the correct option:
A
$\mathrm{I} \rightarrow \mathrm{S}, \mathrm{II} \rightarrow \mathrm{T}, \mathrm{III} \rightarrow \mathrm{Q}, \mathrm{IV} \rightarrow \mathrm{U}$
B
$\mathrm{I} \rightarrow \mathrm{P}, \mathrm{II} \rightarrow \mathrm{R}, \mathrm{III} \rightarrow \mathrm{T}, \mathrm{IV} \rightarrow \mathrm{S}$
C
$\mathrm{I} \rightarrow \mathrm{P}, \mathrm{II} \rightarrow \mathrm{T}, \mathrm{III} \rightarrow \mathrm{Q}, \mathrm{IV} \rightarrow \mathrm{T}$
D
$\mathrm{I} \rightarrow \mathrm{P}, \mathrm{II} \rightarrow \mathrm{R}, \mathrm{III} \rightarrow \mathrm{T}, \mathrm{IV} \rightarrow \mathrm{P}$
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