GATE XE (Engineering Sciences) 2024 - Question 77

Section: Thermodynamics | Marks: 2

Match each quantity in Column M with the appropriate relation from Column N. Here, 𝜓 is Helmholtz function, 𝑃 is pressure, 𝑣 is specific volume, 𝑇 is temperature, ℎ is specific enthalpy, and 𝑠 is specific entropy. Column M Column N (M1)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝑣 (M2)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝑃 (M3)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝑠 (M4)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝑇 (N1)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡−⁡𝜕𝜓 𝜕𝑣| 𝑇 (N2)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡ 𝜕𝜓 𝜕𝑣| 𝑇 (N3)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡ 𝜕𝜓 𝜕𝑇| 𝑣 (N4)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡−⁡ 𝜕𝜓 𝜕𝑇| 𝑣 (N5)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡𝜕ℎ 𝜕𝑃| 𝑠 (N6)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡−⁡ 𝜕ℎ 𝜕𝑠| 𝑃 (N7) ⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡− 𝜕ℎ 𝜕𝑃| 𝑠 (N8)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡ 𝜕ℎ 𝜕𝑠| 𝑃

• A. M1-N5, M2-N1, M3-N4, M4-N7
• B. M1-N6, M2-N2, M3-N3, M4-N8
• C. M1-N5, M2-N1, M3-N4, M4-N8
• D. M1-N8, M2-N1, M3-N4, M4-N5

Answer: C. M1-N5, M2-N1, M3-N4, M4-N8