Thermodynamics question bank (Physics)

The pressure and density of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$ changes adiabatically from $(\mathrm{P}, \rho)$ to $\left(\mathrm{P}^{\prime}, \rho^{\prime}\right)$. If $\frac{\rho^{\prime}}{\rho}=32$ then $\frac{\mathrm{P}^{\prime}}{\mathrm{P}}$ should be

At constant temperature, increasing the pressure of a gas by $5 \%$ its volume will decrease by