Question

Match List-I with List-II.

• A. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
• B. (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
• C. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
• D. (A)-(I), (B)-(II), (C)-(IV), (D)-(III)

Hint:

In thermodynamic processes, the relationship between heat, work, and internal energy depends on whether the process is isobaric, isochoric, adiabatic, or isothermal.

Answer 1

The Correct Option is C

To resolve the provided matching problem, an understanding of thermodynamic processes and their associated equations is required.

1. Isobaric Process (A): This process maintains constant pressure. Work performed, denoted by \( \Delta W \), is linked to volume variations. The heat transfer equation for this process is:
   • \( \Delta Q = \Delta U + P \Delta V \)
2. Isochoric Process (B): In isochoric (or isovolumetric) processes, volume is held constant, resulting in zero work done (\( \Delta W = 0 \)). Any heat introduced is exclusively applied to altering internal energy:
   • \( \Delta Q = \Delta U \)
3. Adiabatic Process (C): An adiabatic process involves no heat exchange with the environment (\( \Delta Q = 0 \)). Changes in internal energy are exclusively a consequence of work performed:
   • \( \Delta Q = 0 \)
4. Isothermal Process (D): During an isothermal process, temperature remains constant. According to the first law of thermodynamics:
   • \( \Delta Q = \Delta W \)

Therefore, the correct matching is (A)-(IV), (B)-(II), (C)-(III), (D)-(I).