A rigid copper tank, initially containing $1\mathrm{.}5$ m$^3$ of air at $295$ K$,4$ bar, is connected by a valve to a large supply line carrying air at $295$ K$,15$ bar. The valve is opened only as long as required to fill the tank with air to a pressure of $15$ bar. Finally, the air in the tank is at $320$ K$.$ The copper tank, which has a mass of $20$ kg$,$ is at the same temperature as the air in the tank, initially and finally. The specific heat of the copper is c$=0\mathrm{.}385$ kJ $/$ kg$$K$.$ Assuming ideal gas behavior for the air, determine: $($a$)$ the initial and final mass of air within the tank, each in kg$,$ and $($b$)$ the heat transfer to the air and copper tank from the surroundings, in kJ$,$ ignoring kinetic and potential energy effects. m$\_1=$ kg m$\_2=$ kg Q$\_$CV$=$ kJ