A small$-$scale experiment requires the preparation Of a $40$ mole $\%$ sulfuric acid solution from pure water and $80$ mole $\%$ sulfuric acid. The mixture is to be prepared by metering one fluid at a constant molar rate into a tank containing the second fluid. Cooling is to be provided to maintain the bath at a constant temperature.

At the temperature of operation, $298$ K$,$ partial molar enthalpies are listed below Unternational Critical Tables $(1930),$ Vol. $7,$ McGraw$-$Hill, New York, p $237].$ Ihe term HO $($H$2$S$04)$ refers to a state of infinite dilution $($i$.$e$.,$ where the mole fraction acid approaches zero$).$ BO$($H$20)$ is the enthalpy of pure water at $298$ K$.$ x is mole fraction and enthalpies are expressed in J$/$mol$.$

$($a$)$ Which fluid should be charged to the reactor first in order to minimize the rate of heat release?

$($b$)$ What is the peak differential heat load per mole of fluid added?

$($c$)$ What is the total heat of mixing per mole of final solution for both methods?

$1)$ Parts a$-$c for Case II $($Addintg $80$ mol$\%$ acid to pure water$).$

$2)$ Parts a$-$c with numerical answers for both cases.

$3)$ Parts a$-$c using Figure $8\mathrm{.}1-1$ of Sandler.

$4)$ Comment on the difference between the two casesData: