NTA Abhyas JEE Main2020PhysicsThermodynamicsPractice
Two moles of an ideal monoatomic gas is taken through a cycle A B C A as shown in the p - T diagram. During the process A B , the pressure and temperature of the gas vary such that p T = constant. If T 1 = 300 K and the amount of heat released by the gas during the process A B is Q = - x R , then the value of x is
Correct answer
2100
Step-by-step solution
In the process p V γ = constant Molar heat capacity, C = R γ - 1 + R 1 - x Here the process is p 2 V = constant p V 1 2 = constant i.e, x = 1 2 C = R 5 3 - 1 + R 1 - 1 2 C = 3 . 5 R Q A → B = n C Δ T Q A → B = 2 × 3 . 5 R × 300 - 600 Q A → B = - 2100 R