An ideal monoatomic gas at 300 K expands adiabatically to twice its volume. The final temperature of gas is

Step-by-step solution

For an ideal monatomic gas, the ratio of specific heat capacity at constant pressure to specific heat capacity at constant volume is γ = 5 3 In an adiabatic process, T V γ - 1 = constant i.e. T f V f γ - 1 = T i V i γ - 1 ⇒ T f = T i V i V f γ - 1 = 300 1 2 5 3 - 1 = 300 1 2 2 / 3