NTA Abhyas JEE Main2020PhysicsThermodynamicsPractice
The molar heat capacity C of an ideal gas in a process is given by a T , where a is constant. If the ratio γ = C p C v is known for the gas, then the work done by one mole of gas during heating from T 0 to η   T 0 through the same process will be
Options
- A1 a ln η
- Ba ln η - R T O η - 1 γ - 1
- Ca ln η - γ - 1 R T 0
- Dη - 1 γ - 1 R T 0
Correct answer
B. a ln η - R T O η - 1 γ - 1
Step-by-step solution
Q = ∫ n C d T = ∫ T o η T o a T = a ln η ∆ U = R η - 1 T 0 γ - 1 W = Q - ∆ U = a ln η - R T O η - 1 γ - 1