Problem $1$: As show in the figure, $0\mathrm{.}23$ kg of water is contained

within a piston$-$cylinder assembly. The piston, with a mass of $75$

kg and area of $0\mathrm{.}020m^2,$ is free to move smoothy in the cylinder.

The local atmospheric pressure and acceleration of gravity are

$101\mathrm{.}0$ kPa and $9\mathrm{.}83\frac{m}{s^2},$ respectively. For the water, if the total

volume is $0\mathrm{.}017m^3,$ determine the pressure, in kPa $,$ and quality.

Problem $2$: Determine the specific volume, in $\frac{m^3}{k}g$ of water vapor at $450C$ and $15$ MPa

using $($a$)$ the steam tables, $($b$)$ the compressibility chart, $($c$)$ van der Waals equation of

state, and $($d$)$ the ideal gas law. $($e$)$ Calculate the percent error for $($b$),($c$),$ and $($d$),$ with $($a$)$

being the accepted value.

$\%$ error $=\frac{\text{v}\text{a}\text{l}\text{u}\text{e}-\text{a}\text{c}\text{c}\text{e}\text{p}\text{t}\text{e}\text{d}}{\text{a}\text{c}\text{c}\text{e}\text{p}\text{t}\text{e}\text{d}}100\%$