$8\mathrm{.}34$ A mixture of acetone vapour and nitrogen gas at $300K$ has a dew point of $283K.$ It enters an evaporator where it picks up acetone vapour. The mixture leaving the evaporator is at $298K$ and has a dew point of $293K.$ The pressure is kept constant at $100$ kPa. Determine the following:

$232$ Stoichiometry and Process Calculations

$($a$)$ The absolute humidity of the mixture entering and leaving the evaporator

$($b$)$ The mass of acetone in kilograms evaporated per kilogram of nitrogen entering the evaporator

$($c$)$ The mass of acetone in kilograms evaporated per $100m^3$ of gas entering the evaporator

$($d$)$ The volume of gas leaving the evaporator per $100m^3$ of gas entering the unit

The vapour pressure of acetone at $283K$ is $15\mathrm{.}4$kPa and $24\mathrm{.}5$kPa at $293K.$