A gas is pressurized in a vertical frictionless piston-cylinder device, as shown in the figure. The piston has a mass of $4$ kg and a cross-sectional area of $40 \mathrm{~cm}^{2}$. A metallic block of $13$ kg is placed on the piston. The atmospheric pressure ( $p_{a}$ ) is $1$ bar. Assume acceleration due to gravity as $10 \mathrm{~m} . \mathrm{s}^{-2}$. The pressure inside the cylinder, $p_{i}$ (in bar) is $\_\_\_\_$ . (rounded off to three decimal places)
