A $0\mathrm{.}5m^3$ rigid storage tank initially contains $0\mathrm{.}2kg$ of steam at $\frac{1}{b}ar.$ The tank undergoes a two$-$step process in order to release some of its contents:

$($I$)$ With the tank$\text{'}$s release valve closed, a heat source at $900C$ adds heat to increase the steam pressure to $2$ bar.

$($II$)$ With the tank$\text{'}$s release valve open, steam slowly exits until the final steam pressure goes back to $1$ bar. In the release, assume there are negligible internal gradients and no heat transfer to the surroundings.

Using the steam tables in Appendix A$.$III of text, determine the:

$($a$)$ Amount of heat added in step $($I$).$

$($b$)$ Mass of steam released in step $($II$).$

$($c$)$ Total entropy generated in the entire process.