As shown below, air enters a pipe at $25C,100$kPa with a volumetric flow rate of $23\frac{m^3}{h}.$ On the outer pipe surface is an electrical resistor covered with insulation. The resistor does $0\mathrm{.}48kW$ of Work on the system. Assuming the ideal gas model with $c_p=1\mathrm{.}005k\frac{J}{k}gK$ for air and ignoring kinetic and potential energy effects, determine:

a$.$ the mass flow rate of the air, in $k\frac{g}{h},$ and

b$.$ the temperature of the air at the exit, in $C.$