Question

Match List-I with List-II

List-I	List-II
(A) Work done in a polytropic process	(IV) \( \frac{p_1 V_1 - p_2 V_2}{n - 1} \)
(B) Work done in a steady flow process	(I) \( - \int v \, dp \)
(C) Heat transfer in a reversible adiabatic process	(II) Zero
(D) Work done in an isentropic process	(III) \( \frac{p_1 V_1 - p_2 V_2}{\gamma - 1} \)

Choose the correct answer from the options given below:

• (A) (IV), (B) (1), (C) (III), (D) (II)
• (A) (I), (B) (IV), (C) (II), (D) (III)
• (A) (IV), (B) (I), (C) (II), (D) (III)
• (A) (1), (B) (II), (C) (III), (D) (IV)

Hint:

For thermodynamic processes, each process has a distinct relationship involving pressure, volume, and other properties.

Answer 1

The Correct Option is C

Step 1: Understand the relationships between the processes.
- Work done in a polytropic process: \( W = \frac{P_1V_1 - P_2V_2}{n - 1} \) → (IV)
- Work done in a steady flow process: \( - \int \vec{f} \cdot \vec{dp} \) → (I)
- Heat transfer in a reversible adiabatic process: Zero → (II)
- Work done in an isentropic process: \( W = \frac{P_1V_1 - P_2V_2}{\gamma - 1} \) → (III)
Step 2: Conclusion.
Thus, the correct matching is: (A) (IV), (B) (I), (C) (II), (D) (III). Final Answer: \[ \boxed{(A) (IV), (B) (I), (C) (II), (D) (III)} \]