Air enters a combustion chamber at $75 \mathrm{~m} / \mathrm{s}, 150 \mathrm{kPa}$ and $300 \mathrm{~K}$. Heat addition in the combustor amounts to $900 \mathrm{~kJ} / \mathrm{kg}$. Compute

(a) the mass flow rate,

(b) the exit properties and

(c) amount of heat to be added to cause the exit Mach number to be unity.