Match the LIST-I with LIST-II \(\begin{array}{|l|l|l|l|} \hline & \textbf{LIST-I} & & \textbf{LIST-II} \\…

Match the LIST-I with LIST-II
\(\begin{array}{|l|l|l|l|} \hline & \textbf{LIST-I} & & \textbf{LIST-II} \\ \hline \text{A.} & \begin{array}{l} \text{Pressure varies} \\ \text{inversely with} \\ \text{volume of an} \\ \text{ideal gas.} \end{array} & \text{I.} & \text{Adiabatic process} \\ \hline \text{B.} & \begin{array}{l} \text{Heat absorbed} \\ \text{goes partly to} \\ \text{increase internal} \\\text{energy and partly} \\\text{to do work.} \end{array} & \text{II.} & \text{Isochoric process} \\ \hline \text{C.} & \begin{array}{l} \text{Heat is neither} \\ \text{absorbed nor} \\ \text{released by} \\ \text{a system.} \end{array} & \text{III.} & \text{Isothermal process} \\ \hline \text{D.} & \begin{array}{l} \text{No work is} \\ \text{done on or} \\ \text{by a gas.} \end{array} & \text{IV.} & \text{Isobaric process} \\ \hline \end{array}\)
Choose the correct answer from the options given below:
  1. A-III, B-IV, C-I, D-II
  2. A-I, B-IV, C-II, D-III
  3. A-III, B-I, C-IV, D-II
  4. A-I, B-III, C-II, D-IV

Solution

$\begin{aligned}
& \mathrm{A} \rightarrow \mathrm{P} \propto \frac{1}{\mathrm{~V}} \\ & \Rightarrow \mathrm{PV}=\text { constant } \\ & \Rightarrow \mathrm{nRT}=\text { const. } \Rightarrow \mathrm{T}=\text { const. }
\end{aligned}$
Hence Isothermal III
B $\rightarrow$ IV
$\mathrm{W} \neq 0, \Delta \mathrm{U} \neq 0, \Delta \mathrm{Q} \neq 0$ [only isobaric]
$\mathrm{C} \rightarrow \mathrm{I} \Delta \mathrm{Q}=0$ Adiabatic
$\mathrm{D} \rightarrow$ II w $=0$ Isochoric
III IV I II

Asked in: JEE Main 2025 (23 Jan Shift 1)

Practice more Thermodynamics questions on Aicharya