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

To address this matching exercise, it is necessary to define each process in List-I and identify its corresponding process in List-II.

List-I	List-II
A. Pressure of an ideal gas is inversely proportional to its volume.	III. Isothermal process
B. Absorbed heat is utilized for internal energy increase and work done.	IV. Isobaric process
C. No heat transfer occurs between the system and surroundings.	I. Adiabatic process
D. Gas does no work, nor is work done on it.	II. Isochoric process

Explanation:

1. Isothermal Process (III): Constant temperature implies constant internal energy. Boyle's Law states that for an ideal gas at constant temperature, pressure is inversely proportional to volume (\(PV = \text{constant}\)). Thus, A corresponds to III.
2. Isobaric Process (IV): Constant pressure defines this process. Heat absorbed contributes to both work done and internal energy increase. Therefore, B matches with IV.
3. Adiabatic Process (I): The absence of heat exchange with the environment means all energy changes are internal. Consequently, C aligns with I.
4. Isochoric Process (II): Constant volume characterizes this process, resulting in no work done by or on the gas. Hence, D matches with II.

The correct pairings are A–III, B–IV, C–I, D–II.