In steam power plants, open feedwater heaters are frequently utilized to heat the feedwater by mixing it with steam bled off the turbine at some intermediate stage. Consider an open feedwater heater that operates at a pressure of $1000$kPa. Feedwater at $50C$ and $1000$kPa is to be heated with superheated steam at $200C$ and $1000$kPa. The mixture $)=(0\mathrm{.}80$ leaves the heater at the feedwater pressure. Determine the ratio of the mass flow rates of the feedwater and the superheated vapor for this case.