$3.$ The vapor pressure of liquid ethylene is $40\mathrm{.}6$ atm at $00$C and $24\mathrm{.}8$ atm at $-200$C$.$ a$)$ Estimate the ideal solubility of ethylene in a liquid at $250$C and $1$ atm pressure. b$)$ How many grams of ethylene will ideally dissolve in $1000$g of hexane?