Air enters a frictionless adiabatic converging nozzle at $$10$$ bar, $$500$$ $$K$$ with negligible velocity. The nozzle dis-charges to a region at $$2$$ bar. If the exit area of the nozzle is $$2.5\,c{m^2}$$ find the flow rate of air through the nozzle. Assume for air, $${C_p} = 1005\,J/kg\,K$$ and $${C_v} = 718\,J/kg\,K.$$