Q$1)$ A tank holds $15$ mole$\%$ He$,40$ mole $\%N_2$ and $45$ mole$\%CO$ at specified conditions of $884\mathrm{.}91$atm and $218K.$ Using Kay's rule, determine the specific molar volume of the mixture in $\frac{m^3}{m}ol.$

Take: $,R=8\mathrm{.}314\frac{m^{3}Pa}{\text{m}\text{o}\text{l}\text{K}}$

$1$atm$=101\mathrm{.}3$kPa

Q$2)$ A gas mixture containing $80$ mole$\%$ benzene and $20$ mole$\%$ toluene is compressed isothermally at $100C$ until condensation occurs. Using Raoult's law for ideal liquid solution and then Pxy diagram, determine:

a$)$ The pressure at which condensation begins.

b$)$ The initial compositions of the initial condensate.

Q$3)$ A humid air contains $54kg$ water and $300kg$ dry air is fed at $77C$ and $1\mathrm{.}1$ bar into a process unit. Determine:

i$)$ The absolute humidity.

ii$)$ The dew point.