The Ratio of the Molar Specific Heat Capacity at Constant $\gamma$

Multiple Choice

The ratio of the molar specific heat capacity at constant pressure to that at constant volume, $\gamma$ , for diatomic hydrogen gas is 7/5. In an adiabatic compression, the gas, originally at atmospheric pressure, is compressed from an original volume of 0.30 m³ to 0.10 m³. What is the final pressure of the gas?

A) 2.0 × 10⁵ Pa
B) 2.7 × 10⁵ Pa
C) 3.1 × 10⁵ Pa
D) 3.8 × 10⁵ Pa
E) 4.7 × 10⁵ Pa