$7\mathrm{.}7$ Steam is supplied to a two$-$stage turbine at $40$ bar and $500\backslash$deg C In the first stage the steam expands isentropically to $3$ bar at which pressure $2500$ kg$/$h of steam is extracted for process work. The remainder is reheated to $500\backslash$deg C and then expanded isentropically to $0\mathrm{.}06$ bar. The byproduct power from the plant is required to be $6000$ kW$.$ Calculate the amount of steam required from the boiler, and the heat supplied in kW$.$ Neglect feed pump terms, and assume that the process condensate returns at the saturation temperature to mix adiabatically with the condensate from the condenser.