Answer the following by appropriately matching the lists based on the information given in the paragraph. In a thermodynamics process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by T Δ X , where T is temperature of the system and Δ X is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas X = 3 2 R l n T T A + R l n V V A . Here, R

Step-by-step solution

a W 1 → 2 → 3 = W 1 → 2 + W 2 → 3 = P 0 2 V 0 - V 0 + 0 = P 0 V 0 W 1 → 2 → 3 = P 0 V 0 = R T 0 3 a → q Process 1 → 2 ⇒ isobaric and 2 → 3 ⇒ isochoric b U 1 → 2 → 3 = 3 2 3 P 0 2 × 2 V 0 - P 0 V 0 = 3 2 × 2 P 0 V 0 = 3 P 0 V 0 = R T 0 b → r c Q 1 → 2 → 3 = U 1 → 2 → 3 + W 1 → 2 → 3 = R T 0 + R T 0 3 = 4 R T 0 3 c → s d Q 1 → 2 = n C P ∆ T = n 5 2 R T 2 - T 1 = 5 2 P 0 2 V 0 - P 0 V 0 = 5 2 P 0 V 0 = 5 2 R T 0 3 = 5 6 R 0 T 0 d → u