An equimolar mixture of HNO$3$ and water is produced at a rate of $16$ kmol$/$h in a mixer equipped with a coil through which an equimolar mixture of benzene and toluene flows. The mixer is supplied with two solutions of nitric acid, one of $60$ mol$\%$ HNO$3$ and one of $33\mathrm{.}33$ mol$\%$ HNO$3.$ The two mixtures are being supplied at $27$oC and the temperature in the mixer is also $27$oC$.$ The benzene$/$toluene mixture $($which acts as a coolant$)$ enters

the coil at $20$oC and exits the coil at $50$oC$.$ Compute the molar flow rate at which the coolant is being supplied to the system.

At $27$oC$,$ the following information is available for the heat of nitric acid solution $($in kJ$/$mol HNO$3)$:

$-8\mathrm{.}37$ at r $=0\mathrm{.}5$; $-14\mathrm{.}23$ at r $=1$; $-20\mathrm{.}29$ at r $=2$; r $=$ moles of H$2$O$/$mole HNO$3.$

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