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

1 - 2 process is isothermal and 2 - 3 process is isochoric. a W 1 → 2 = n R T l n V f F i = 1 × R T 0 3 ln ⁡ V 2 V 1 = R T 0 3 ln ⁡ 2 V 0 V 0 = R T 0 3 ln ⁡ 2 W 2 → 3 = 0 (isochoric process) W 1 → 2 → 3 = W 1 → 2 + W 2 → 3 = R T 0 3 ln ⁡ 2 a → P b ∆ U = f 2 n R T f - T i ∆ U 1 → 2 → 3 = 3 2 1 × R T 0 - T 0 3 = R T 0 b → R c Q 1 → 2 → 3 = ∆ U 1 → 2 → 3 + W 1 → 2 → 3 (First law of thermodynamics) = R T 0 + R T 0 3 ln ⁡ 2 = R T 0 3 3 + ln ⁡ 2 c → t d Q 1 → 2 = ∆ U 1 → 2 + W 1 → 2 = 0 + R T 0 3 ln ⁡ 2 = R T 0 3 ln ⁡ 2