An ideal monoatomic gas, initially at pressure $P$, is kept in a spherical container of volume $V$. The container is adiabatically compressed to half of its initial radius. Assuming the process is reversible and neglecting the thickness of the container, the magnitude of compressional work on the system is expressed as $\beta P V$, where $\beta$ is

• Correct answer
  A

  $\frac{9}{2}$
• B

  $\frac{5}{3}$
• C

  $\frac{7}{8}$
• D

  $\frac{7}{5}$

Hence, the correct answer is option: 'A'.