An ideal gas whose adiabatic exponent equals `gamma` is expanded according to the law `p = alpha V`, where `alpha` is a constant. The initial volume of the gas is equal to `V_0`. As a result of expansion the volume increases `eta` times. Find :
(a) The incident of the internal energy of the gas ,
(b) the work performed by the gas ,
( c) the molar heat capacity of the gas in the process.