Superheated steam at $900$ K and $9\mathrm{.}0$ MPa $($stream $1)$ is blended with saturated steam at $3\mathrm{.}0$ MPa $($stream $2)$ to generate a product $($stream $3)$ at $750$ K and $3\mathrm{.}0$ MPa. The process is adiabatic and operates at steady state. $($a$)$ Find the temperature of stream $2,$ T$2($K$).($b$)$ Find the mass ratio of stream $1$ to stream $2,$ m$1/$m$2($kg steamat $4\mathrm{.}0$ MPa$/$kg steam at $3\mathrm{.}0$ MPa$).$ Solve using a P$-$H diagram.