#$946.$ Water Vapor Boiling$/$Heating

A $10$ L vessel initially contains a mixture of liquid water and vapor at $95C$ with $12$ percent quality. The mixture

is then heated until its temperature is $170C.$ Calculate the heat transfer, $Q,$ required for this process. Assume

that the vessel operates at constant pressure $($i$.$e$.$ expands$)$ during the vaporization, and then heats at

constant volume.

Hint: While the liquid water is evaporating in the closed system, the pressure remains constant. Therefore,

during that time, we can treat it as a constant pressure, quasi$-$equilibrium processes, and we can use the

following energy analysis to determine the heat transferred to vaporize the liquid:

$Q_{in}+W_{in}-(Q_{\text{o}\text{u}\text{t}}+W_{\text{o}\text{u}\text{t}})=U+KE+PE$

If the final temperature is above the saturation temperature, then use the appropriate specific heat $($either $c_p$

or $c_V)$ to determine the additional heat transferred. Calculate this specific heat value at the saturation

temperature assuming the vapor quality $x=1.$

In the notebook Workbook. ipynb, you can use the IAPWS module to determine the thermodynamic

properties of water. You can also find the thermodynamic property tables from the book here property tables

number $($rtol $=0\mathrm{.}1,$ atol $=1e-08)$