In Agata, Siberia Russia on December $31,1968,$ the highest atmospheric pressure ever recorded on

earth was $1\mathrm{.}07$atm. What was the reading of a pressure gauge on a full tank of $C{O}_2$ extinguisher, if

there was $15kg$ of $C{O}_2$ in a $25$ liter fire extinguisher at $-67\mathrm{.}8C.?$

Use $($a$)$ ideal gas law

$($b$)$ Van der Waals equation of state $(P+\frac{n^{2}a}{V^2})(V-nb)=nRT$

Using the generalized compressibility chart, determine

$($a$)$ the specific volume of steam at a pressure of $100$kPa and a temperature of $500C$

$($b$)$ the pressure of superheated steam at $T=300C$ and hat$(V)=8\mathrm{.}1576{10}^{-4}\frac{m^3}{(mol)}$

$($c$)$ the temperature of superheated steam at $P=3\mathrm{.}5$MPa and hat$(V)=1\mathrm{.}65{10}^{-3}\frac{m^3}{(mol)}$

Note: For water use $P_c=22\mathrm{.}09$Mpa,$T_c=647\mathrm{.}3K$