Question

If the kinetic energy of one mole of an ideal gas is 5/2 rt. what will be its specific heat at constant pressure

Answer 1

The kinetic energy or the total internal energy of one mole of a gas is
 U = (3/2) RT 

If CV is molar specific heat at constant volume then
 CV= dU/dT
 = (3/2)R 


Now for an ideal gas
 CP - CV = R
CP - molar specific heat capacity at constant pressure
 CP = (3/2) R + R
        =  (5/2) R