A cylinder if $\mathrm{.}150$m$^3$ in volume containing $22\mathrm{.}7$ kg of propane $($C$3$H$8)$ stands in the hot sun. A pressure gauge shows that the pressure is $4790$ kpa gauge. What is the temperature of the propane in the cylinder? Use Van der Waals equation for this calculation.

The moelcular weight of propane is $44\mathrm{.}09$ and R$=\mathrm{.}08206$ L atm$/$mol K$.$ the criticak constants for propane are Tc$=369\mathrm{.}9$ K and Pc$=42\mathrm{.}0$ atm.

a$.$ Calculate the temperature in the cylinder in absolute temperature units $($K$)$

b$.$ a previous engineer has estimate dthe temperature in the cylindr using the ideal gas equation. you look in a data handbook and find the actual temperature under the given conditions is $400$K$.$ How much error is associated with this approximation? Is the ideal gas equation adequate for estimating the temperature at the conditions given above?

c$.$ What if hydrogen was substituted for propane in the cylinder? Would the temperature remain the same based on the ideal gas assumption? Why or why not?