Question $1($Gas Laws$)150$kg of ethane $($C$\_(2)$H$\_(6))$ is stored in a $15\mathrm{.}0$m$^(3)$ tank$.$ For a temperature of $50$deg C estimate the pressure of the gas in the tank assuming that the van der Waals equation is applicable. The vessel bursts at a pressure of $50$atm $.$ Using the method of successive substitution, how much more ethane $($kg$)$ can be pumped into the vessel before it bursts? p$=($RT$)/(($hat$($V$))-$b$)-($a$)/($hat$($V$)^(2))$ where a$=(27$R$^(2)$T$\_($c$)^(2))/(64$p$\_($c$))$ and b$=($RT$\_($c$))/(8$p$\_($c$))$ For C$\_(2)$H$\_(6)$ a$=0\mathrm{.}558$Pa$($m$)/($m$)$ol$^(2),$b$=6\mathrm{.}51\backslash$times $10^(-5)($m$^(3))/($m$)$ol R$=8\mathrm{.}3145($J$)/($m$)$olK$^(5),1$atm$=1\mathrm{.}013\backslash$times $10^(5)($N$)/($m$^(2))$