Question

Match the List-I with List-II

Choose the correct answer from the options given below:

• A. A–I, B–IV, C–II, D–III
• B. A–III, B–I, C–IV, D–II
• C. A–I, B–III, C–II, D–IV
• D. A–III, B–IV, C–I, D–II

Hint:

In thermodynamics: Adiabatic processes involve no heat exchange and typically relate pressure and volume in an inverse relationship.
Isobaric processes involve constant pressure, where both work and internal energy changes are considered.
Isothermal processes maintain constant temperature, with heat flow and no work done that changes internal energy.
Isochoric processes have constant volume, meaning no work is done, and only internal energy changes occur.

Answer 1

The Correct Option is D

Let’s analyze the given statements one by one:
\( A \to P \propto \frac{1}{V} \), which implies that \( PV = \text{constant} \). This relation is true for an adiabatic process, where the temperature and pressure change without heat exchange. Hence, \( A \to \text{I} \) (Adiabatic process).
\( B \to \) Heat absorbed goes partly to increase internal energy and partly to do work. This happens in an isobaric process, where heat is absorbed, leading to changes in internal energy and work done due to a constant pressure. Hence, \( B \to \text{IV} \) (Isobaric process).
\( C \to \) Heat is neither absorbed nor released by a system. This is characteristic of an isothermal process, where the temperature remains constant, and heat flows in or out of the system without affecting its internal energy. Hence, \( C \to \text{III} \) (Isothermal process).
\( D \to \) No work is done on or by a gas. This is true for an isochoric process, where the volume of the system remains constant, and no work is done. Hence, \( D \to \text{II} \) (Isochoric process).
Thus, the correct matching is: \[ A \to \text{I}, B \to \text{IV}, C \to \text{III}, D \to \text{II}. \] Hence, the correct answer is: \[ \boxed{(4)}. \]