Please reference this text Separation Process Principles$3$rd edition

Chemical and Biochemical Operations

Liquid benzene $($A$)$ evaporates into dry air $($B$)$ as shown in the figure below. The vapor pressure

of benzene is $0\mathrm{.}131$ atm. Assuming quasi$-$steady state. Gas constant R$=8\mathrm{.}3$ J$/$mol$.$ Answer the

below questions:

$($a$)$ What is the direction of the bulk flow flux and diffusion flux of B at the mouth of the

beaker? Sketch your answer in the figure above.

$($b$)$ What is the initial rate of evaporation of benzene $($ the molar flux of benzene$)$

Let's summarize the given information provided in the problem:

$1.**$Geometry and Conditions$**$:

$-$ Open beaker with a height of $6$ cm$.$

$-$ Liquid benzene $($A$)$ at $25\backslash$deg C fills the beaker to within $0\mathrm{.}5$ cm of the top.

$-$ Dry air $($B$)$ at $25\backslash$deg C and $1$ atm is blown across the mouth of the beaker.

$-$ Vapor pressure of benzene at $25\backslash$deg C is $0\mathrm{.}131$ atm.

$2.**$Assumption$**$:

$-$ Mole fraction of benzene in the air at the top of the beaker is zero.

$-$ Raoult$$s law applies at the gas$$liquid interface.

$3.**$Diffusion Coefficient$**$:

$-$ The diffusion coefficient for benzene in air at $25\backslash$deg C and $1$ atm is $0\mathrm{.}0905$ cm$^2/$s$.$

open beaker, $6$ cm high, is filled with liquid benzene $($A$)$ at $25$C to within $0\mathrm{.}5$ cm of the top. Dry air $($B$)$ at $25$C

and $1$ atm is blown across the mouth of the beaker so that evaporated

benzene is carried away by convection after it transfers through a

stagnant air layer in the beaker