JEE Main202127 Aug 2021Morning ShiftPhysicsThermal Properties of MatterActual
An ideal gas is expanding such that P T 3 = constant. The coefficient of volume expansion of the gas is:
Options
- A2 T
- B3 T
- C1 T
- D4 T
Correct answer
D. 4 T
Step-by-step solution
γ = 1 V d V d t P T 3 = constant T V T 3 = Constant T 4   V - 1 = C V - 1 4   T 3   d T + T 4 - 1   V 2   d   V = 0 d V d T = 4 T 3 / V T 4 / V 2 = 4 V T    ∴ γ = 4 T