$8\mathrm{.}13-$ A mivure of benzene vapour and nitrogen gas at $105$kPa anid $330K$ containa ber wapour to the celent that it ecerts a partial pressure of $15$kPa. The vapoif protace of beraze is given by the Antoine equation

$ln{P}^5=13\mathrm{.}8858-\frac{2788\mathrm{.}51}{T-52\mathrm{.}36}$

Determins the following:

$($a$)$ The mole fraction of benzene in the mixfure

bi$)$ The weight fraction of benzene in the mixture

$($c$)$ The molal humidity

$($d$)$ The absolute fumidicy

$($e$)$ The moini suturation humidity

$($f$)$ The stortite saturation humidity

$(4)$ The mas of beruene in $100m^3$ of the mixture

$($h$)$ The pereent humidity

$(0)$ The percent relathe lataintity