Hot combustion gases, modeled as air behaving as an ideal gas, enter a turbine at $10$ bar, $1500$ K and exit at $1\mathrm{.}97$ bar and $900$ K$.$ If the power output of the turbine is $55\mathrm{.}4$ kW$,$ determine the rate of heat transfer from the turbine to it surroundings, in kW$.$ Find the mass flow rate.