A Quantity of Carbon Monoxide Gas Is Slowly Compressed Adiabatically

A quantity of carbon monoxide gas is slowly compressed adiabatically in an insulated container to one-half of its initial volume. The ratio of the specific heat capacities at constant pressure and constant volume, c_P/c_V , for carbon dioxide is approximately 1.3. Determine the final pressure of the gas if the initial pressure is 2.0 × 10⁵ Pa.

A) 2.0 × 10⁵ Pa
B) 2.6 × 10⁵ Pa
C) 3.7 × 10⁵ Pa
D) 4.9 × 10⁵ Pa
E) 5.2 × 10⁵ Pa