(a) Derive the following formula for a quasi-static adiabatic process for the ideal gas, assuming, to be constant:
T/(P(γ-1)/γ) = const.
(b) Helium (ϒ=3/5) at 300 K and 1 atm pressure is compressed quasi-statically and adiabatically to a pressure of 5 atm. Assuming that the helium behaves like the ideal gas, calculate the final temperature.