$4.$ Piston$-$Cylinder Air Pump: A piston$-$cylinder system in a pneumatic control system contains air and has a hole at its end $($see figure$).$ The piston moves at a constant rate to the right, such that the mass flow rate exiting the hole is steady at $\backslash (0\mathrm{.}100\backslash$mathrm$\{$~g$\}/\backslash$mathrm$\{$s$\}\backslash ),$ and the velocity of the gas going through the hole is small. The cylinder is insulated $($adiabatic$)$ and the temperature of the air remains constant $($in both the cylinder and the exiting flow$)$ at $32\mathrm{.}2$ C $.$ What is the power $($work per unit time$)$ supplied to the piston in units of Watts.