Code this in python: Problem $1.$ Remember the Redlich$-$Kwong equation:

$P=\frac{RT}{(widehat(V))-b}-\frac{a}{(widehat(V))((widehat(V))+b)\sqrt[\phantom{2}]{T}}$;$,a=0\mathrm{.}427\frac{R^2{T}_c^{2\mathrm{.}5}}{P_c}$;$,b=0\mathrm{.}0866R\frac{T_C}{P_c}$

Here, widehat$(V)$ is volume per mass $(\frac{m^3}{k}g),P$ is pressure $(kPa),T$ is temperature $(K),R$ is the gas constant $0\mathrm{.}518k\frac{J}{kgK},P_c$ is the critical pressure $(kPa),$ and $T_c$ is the critical temperature $(K).$

Methane can be pressurized for storage $($liquefied natural gas$).$ The critical pressure of methane is $4,600$kPa and the critical temperature of methane is $191K.$ Determine much methane $($in $kg)$ a $1\mathrm{.}5m^3$ tank can hold at a temperature of $-40C$ and a pressure of $50,000$kPa.

llcorner,$233\mathrm{.}15K$

$1$a: What approach will you use to solve this problem? Specify the overall method to solve it$,$ and the equations that you will use. Use clear bullet points and equations. $(10$ pts$)$