$3\mathrm{.}1$

Liquid benzene $($C$6$H$6)$ flows through a pipe at a rate of $300$m$3/$s$.$ If benzene has a density of $0\mathrm{.}876$ g$/$cm$3.$ Determine:

$3\mathrm{.}1\mathrm{.}1.$

The mass flow rate of this stream in kg$/$min$.(4$ marks$)$

$3\mathrm{.}1\mathrm{.}2.$

The molar flow rate in mol$/$s if the molecular weight of benzene is $78$ g$/$mol$.(6$ marks$)$

$3\mathrm{.}2.$

An aqueous solution prepared at room temperature contains $55\%$ H$2$SO$4$ with specific gravity $=1\mathrm{.}2563.$

$3\mathrm{.}2\mathrm{.}1.$

Calculate the volume of the solution that will contain $195\mathrm{.}5$kg of H$2$SO$4.(5$ marks$)$

$3\mathrm{.}2\mathrm{.}2.$

Re $-$calculate the volume of the solution if pure component specific gravities of H$2$SO$4($SG $=1\mathrm{.}8255)$ and water had been used for the calculation. Assume additive volume is applicable. $(8$ marks$)$

$3\mathrm{.}2\mathrm{.}3.$

Estimate the percent error in volume calculation.