Problem. Steam enters a control volume operating at steady state at $p_1=16$ bar, $T_1=250C,$ with a mass flow rate of $1\mathrm{.}3k\frac{g}{s}.$ Saturated vapor at $3$ bar leaves through one exit and saturated liquid at $3$ bar leaves through a second exit with a volumetric flow rate of $0\mathrm{.}058\frac{m^3}{m}in.$ Determine:

$($a$)$ The minimum diameter of the inlet pipe, in cm $,$ so the steam velocity at the inlet does not exceed $22\frac{m}{s}.$

$($b$)$ The volumetric flow rate of the exiting saturated vapor, in $\frac{m^3}{m}in.$

$($c$)$ The amount of heat removed, in kW $($kinetic and potential energy effects can be ignored$).$