Problem$-4$

A rigid tank contains $7\mathrm{.}5$ kg of saturated water mixture at $400$ kPa $.$ A valve at the bottom of the tank is now opened, and liquid is withdrawn from the tank. Heat is transferred to the steam such that the pressure inside the tank remains constant. The valve is closed when no liquid is left in the tank. If it is estimated that a total of $5$ kJ of heat is transferred to the tank, determine

$($a$)$ the quality of steam in the tank at the initial state,

$($b$)$ the amount of mass that has escaped, and

$($c$)$ the entropy generation during this process if heat is supplied to the tank from a source at $500C.$