Question

Match List I with List II

List-I (Process)		List-II  (Conditions)
(A)	Isothermal process	(I)	No heat exchange
(B)	Isochoric process	(II)	Carried out at constant temperature
(C)	Isobaric process	(III)	Carried out at constant volume
(D)	Adiabatic process	(IV)	Carried out at constant pressure

Choose the correct answer from the options given below:

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

Answer 1

The Correct Option is D

Step 1: Recall the Definitions of Thermodynamic Processes 

Isothermal Process

The temperature remains constant, meaning \( \Delta T = 0 \). The equation used is:

$$ PV = \text{constant} $$

This process is carried out at constant temperature (II).

Isochoric Process

The volume remains constant, meaning \( \Delta V = 0 \), so no work is done:

$$ W = 0 $$

This process is carried out at constant volume (III).

Isobaric Process

The pressure remains constant, meaning \( \Delta P = 0 \), and the work done is:

$$ W = P \Delta V $$

This process is carried out at constant pressure (IV).

Adiabatic Process

No heat exchange occurs, meaning \( Q = 0 \), and the equation governing the process is:

$$ PV^\gamma = \text{constant} $$

This process has no heat exchange (I).

Step 2: Match the Processes with Their Respective Conditions

• A-II: Isothermal → Constant temperature.
• B-III: Isochoric → Constant volume.
• C-IV: Isobaric → Constant pressure.
• D-I: Adiabatic → No heat exchange.

Step 3: Conclusion

The correct answer is:

Option (4) A-II, B-III, C-IV, D-I.