A quantity of air at 27°C and atmospheric pressure is suddenly compressed to half its original volume. Find the final pressure and temperature. Given γ of air is 1.42.
a) Pressure: 2 atm, Temperature: 327°C
b) Pressure: 4 atm, Temperature: 300 K
c) Pressure: 3 atm, Temperature: 300 K
d) Pressure: 2 atm, Temperature: 300 K