139287 An ideal gas with pressure $P$, volume $V$ and ratio of specific heats 1.5 is compressed isothermally to one fourth of its initial volume and pressure $P_{1}$. When the same gas is compressed adiabatically to half of its initial volume, the pressure is $\mathbf{P}_{2}$. The ratio $\left(\mathbf{P}_{1} / \mathbf{P}_{2}\right)$ is
139287 An ideal gas with pressure $P$, volume $V$ and ratio of specific heats 1.5 is compressed isothermally to one fourth of its initial volume and pressure $P_{1}$. When the same gas is compressed adiabatically to half of its initial volume, the pressure is $\mathbf{P}_{2}$. The ratio $\left(\mathbf{P}_{1} / \mathbf{P}_{2}\right)$ is
139287 An ideal gas with pressure $P$, volume $V$ and ratio of specific heats 1.5 is compressed isothermally to one fourth of its initial volume and pressure $P_{1}$. When the same gas is compressed adiabatically to half of its initial volume, the pressure is $\mathbf{P}_{2}$. The ratio $\left(\mathbf{P}_{1} / \mathbf{P}_{2}\right)$ is
139287 An ideal gas with pressure $P$, volume $V$ and ratio of specific heats 1.5 is compressed isothermally to one fourth of its initial volume and pressure $P_{1}$. When the same gas is compressed adiabatically to half of its initial volume, the pressure is $\mathbf{P}_{2}$. The ratio $\left(\mathbf{P}_{1} / \mathbf{P}_{2}\right)$ is