(Solved): Steam flows steadily through an adiabatic turbine. The inlet conditions of steam are 4MPa, 500C, ...

Steam flows steadily through an adiabatic turbine. The inlet conditions of steam are $$4\mathrm{MPa}$$, $$500^{?}\mathrm{C}$$, and $$80\mathrm{m}/\mathrm{s}$$, and the exit conditions are $$30\mathrm{kPa},92$$ percent quality, and $$50\mathrm{m}/\mathrm{s}$$. The mass flow rate of the steam is $$12\mathrm{kg}/\mathrm{s}$$. Steam table is available. Determine: (a) the change in kinetic energy per unit mass $$?\mathrm{ke}(\mathrm{kJ}/\mathrm{kg})$$ (b) the change in enthalpy per unit mass $$?h(\mathrm{kJ}/\mathrm{kg})$$ (c) the work done per unit mass $$(\mathrm{kJ}/\mathrm{kg})$$ (d) the power output (MW) (e) the turbine inlet area $$\left({\mathrm{m}}^2\right)$$