Question $7$

$(10$ points$)$

A stream of liquid water at $1$ MPa and $323$ K enters a perfectly insulated mixing chamber at a mass flow rate of $\backslash (60\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$ It is being mixed with a stream of steam at $1$ MPa and $473$ K $.$ The fluid leaves the mixing chamber as a single stream of saturated liquid at $1$ MPa $.$ Neglect any kinetic and potential energies. Find the mass flow rate of steam entering the chamber.