A diatomic gas ( = 7 5 ) is compressed adiabatically to volume V_i 32 where V_i is its initial volume. The initial temperature of the gas is T_i in Kelvin and the final temperature is ' xT_ i '. The value of ' x ' is

Step-by-step solution

For adiabatic process: TV ^ -1 = Constant Initially: T _ i V ^ 7 5 -1 = Constant Final condition: xT _ f V ^ 7 5 -1 = Constant So, T _ i V ^ 7 5 -1 = xT _ f V ^ 7 5 -1 TV ^ 2 5 = xT ( V 32 )^ 2 5 x=4