Steam flows steadily through a steam turbine. The inlet conditions are $4$MPa,$500C$ and $80\frac{m}{s}.$ While the exit conditions are $30$kPa,$95\%$ quality and $50\frac{m}{s}.$ A heat loss is expectec during the expansion process to be $10\%$ of the power output. The mass flow rate of the stean is $12k\frac{g}{s}.$

i$)$ Determine the change in kinetic energy, $kW.$

ii$)$ Calculate the power output, $MW.$