$1-$m ${?}^3,40-kg$ rigid steel tank contains air at $500$ kPa $,$ and both the tank and the air are at $20C.$ The tank is connected to an air line with air flowing at $2$ MPa and $20C.$ The valve is opened, allowing air to flow into the tank until the pressure reaches $1\mathrm{.}5$ MPa $,$ and is then closed. Assume the air and the tank are always at the same temperature and the final temperature is $35C.$ Find the final air mass and the heat transfer. $($Answer: $16\mathrm{.}96kg,-533\mathrm{.}3kJ)$