Superheated steam at $T_1(C)$ and $\frac{10\mathrm{.}0}{b}ar$ is combined with saturated steam at $T_2(C)$ and $7\mathrm{.}0$ bar in a ratio of steam at $\frac{10}{b}ar$ of steam at $\frac{7}{b}ar.$ The product stream is at $250C$ and $7\mathrm{.}0$ bar. The process operates at steady state.

$($a$)$ Calculate $T_1$ and $T_2,$ assuming that the blender operates adiabatically.

$($b$)$ If in fact heat is being lost from the blender to the surroundings, is your estimate of $T_1$ too high or too low? Briefly explain.