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 solve this matching problem, we need to understand the definitions and principles behind each process listed in List-I and find the corresponding process from List-II. 

List-I	List-II
A. Pressure varies inversely with volume of an ideal gas.	III. Isothermal process
B. Heat absorbed goes partly to increase internal energy and partly to do work.	IV. Isobaric process
C. Heat is neither absorbed nor released by a system.	I. Adiabatic process
D. No work is done on or by a gas.	II. Isochoric process

Explanation:

1. Isothermal Process (III): In this process, the temperature remains constant, meaning the internal energy does not change. According to Boyle's Law, at constant temperature, the pressure of an ideal gas is inversely proportional to its volume (\(PV = \text{constant}\)). Thus, A matches with III.
2. Isobaric Process (IV): This process occurs at a constant pressure. The heat absorbed by the system does work as well as increases the internal energy. Hence, B matches with IV.
3. Adiabatic Process (I): No heat is exchanged with the surroundings; hence, all the changes are due to internal energy. Therefore, C matches with I.
4. Isochoric Process (II): This process occurs at constant volume, so no work is done on or by the gas. As a result, D matches with II.

Therefore, the correct answer is A–III, B–IV, C–I, D–II.

Answer 2

Here is the solution:

A - III: Pressure varies inversely with volume of an ideal gas in an isothermal process.
B - IV: If heat is absorbed and it goes to increase internal energy, and partly to do work, it happens in Isobaric process.
C - I: Heat is neither absorbed nor released by the system in Adiabatic process.
D - II: No work is done on or by a gas in Isochoric process.

So, the correct matches are:
A - III
B - IV
C - I
D - II