A rigid $10-L$ vessel initially contains a mixture of liquid water and vapor at $100C$ with $12\mathrm{.}3$ percent quality. The mixture is then heated until its temperature is $150C.$ Calculate the followings $($just provide the values$)$;

$($a$)$ Internal energy at the initial state

$($b$)$ Quality at the final state

$($c$)$ Interral energy at the final state

$($d$)$ Mass in the system

$($e$)$ Heat transfer required for this process

Useful equation: $y_{\text{a}\text{v}\text{g}}-y_f+x\frac{y}{g}$

$E=U+KE+PE$