A piston$-$cylinder assembly initially contains $1\mathrm{.}5$ kg of a water as a liquid$-$vapor

mixture at a quality of $45\%.$ The piston is unrestrained, and it is weighted such that it maintains a

constant pressure of $450$ kPa inside the cylinder. Heat is transferred to the cylinder from a

thermal energy source until the water reaches saturated vapor conditions. Determine: $($a$)$ the total

heat transfer, $($b$)$ the total amount of entropy production for the entire process, and $($c$)$ Indicate

whether this process is feasible and why?