Exercise $1$:

$\backslash (0,5\backslash$mathrm$\{$I$\}\backslash )$ of water is inside a closed tank, at $100$ kPa of pressure and $300$ K $.$ This water is heating until $350$ K of temperature and a pressure of $400$ kPa $.$ Assuming that the specific heat of water is $\backslash (4\mathrm{.}18\backslash$mathrm$\{$~kJ$\}/(\backslash$mathrm$\{$kg$\}\backslash$cdot $\backslash$mathrm$\{$K$\})\backslash )$ and the density is $\backslash (1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash )$ determine:

a$)$ The specific volume

b$)$ The mass of water

c$)$ The increment of internal energy during the heating process

d$)$ The increment of enthalpy during the heating process

e$)$ The increment of entropy during the heating process

f$)$ The heat given to the system

g$)$ The entropy generation if heat is given at a boundary temperature of $400$ K

Note: Assume that the specific heat keeps constant during the process