Based on phase behaviour of a binary mixture described in Chapter $2,$ for a two$-$component mixture of $60$

mol.$\%$ methane and $40$mol.$\%$ ethane:

a$)$ Determine its bubble$-$point pressure and dew$-$point pressure at $T=-100F.$

b$)$ Determine the compositions of the equilibrium liquid and gas phases of this mixture if it is in an equilibrium

state at $P=200a$ and $T=-100F$; and

c$)$ If the quantity of the equilibrium liquid phase of this mixture is $5\mathrm{.}0lb$ moles, determine the masses $($in lb$)$ of

the equilibrium liquid, gas, and the mixture.