$8\mathrm{.}1$ The vapour pressure of acetone at $285K$ is $16\mathrm{.}82$kPa. For a mixture of nitrogen gas saturated with the vapours of acetone at $285K$ and $101\mathrm{.}3$kPa, calculate

$($a$)$ The mole percent of acetone in the mixture

$($b$)$ The percent composition by weight of acetone

$($c$)$ The mole ratio of acetone in the mixture

$($d$)$ The weight ratio of acetone in the mixture

$($e$)$ The amount of vapour in kilograms per $m^3$ of the mixture

$8\mathrm{.}2$ Carbon dioxide gas at $300K$ and $100$kPa is saturated with water vapour. The vapour pressure of water at $300K$ is $3\mathrm{.}56$kPa. Calculate

$($a$)$ The mole percent of water vapour in the mixture

$($b$)$ The percent composition by weight

$($c$)$ The mole ratio of water vapour in the mixture

$($d$)$ The weight ratio of water vapour in the mixture

$($e$)$ The amount of vapour in kilograms per $m^3$ of the mixture

$8\mathrm{.}3$ A gas holder contains dry nitrogen at $300K$ and $101\mathrm{.}3$kPa. Water is injected into the vessel till the gas is saturated. If the temperature after saturation is $300K$ and the vapour pressure of water at $300K$ is $3\mathrm{.}56$kPa, calculate

$($a$)$ The pressure inside the vessel

$($b$)$ The mole ratio of water to nitrogen in the saturated gas