A packed tower operating at $20C$ and atmospheric pressure is used to absorb component $A$ in water. At one point in the tower the partial pressure of component $A$ is $0\mathrm{.}5$atm and its concentration in the liquid is $1kg{m}^{-3}.$ The molecular weight of component $A$ is $80$ and it may be assumed that the density of the liquid is the same as that of the water $(1000(kg)m^{-3}).$ Data on the solubility of component $A$ in water expressed in mole fractions are given in Table Q$2.$

TABLE Q$2$

$\backslash$table$[[x,0\mathrm{.}0003,0\mathrm{.}0004,0\mathrm{.}0007,0\mathrm{.}001,0\mathrm{.}0014,0\mathrm{.}0018],[y,0\mathrm{.}16,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}5,0\mathrm{.}8,1]]$

$($a$)$ Draw the equilibrium line and determine the gradient of the equilibrium line.

$(4$ marks$)$

$($b$)$ Calculate the mole fractions of component $A$ in the bulk of the gas phase and in the bulk of the liquid phase.

$(6$ marks$)$

$($c$)$ If $85\%$ of the overall resistance to mass transfer comes from the liquid phase, what are the interface compositions, $x_0$ and $y_0?$

$(15$ marks$)$

Use the appropriate equations from the list provided at the end of this paper. SUBMIT CRAPH WITH YOUR ANSWER BOOKLEI