Q$7.$ Air is contained in a vertical$-$piston cylinder assembly fitted with an electrical resistor. The atmospheric pressure is $100$kPa and piston has a mass of $50kg$ and a face area $0\mathrm{.}1m^2.$ Electric current passes through the resistor, and the volume of air is slowly increases by $0\mathrm{.}045m^3.$ The mass of the air is $0\mathrm{.}3kg$ and its specific energy increases by $42\mathrm{.}2k\frac{J}{k}g.$ Assume assembly $($including piston$)$ is insulated and neglect the friction between cylinder and piston, $g=9\mathrm{.}81\frac{m}{s^2}.$ Determine the heat transfer from the resistor to air for a system consisting the air hole.