$R=log$ mean radius of the tube, $\frac{r_2-r_1}{ln(\frac{r_2}{r_1})},$ with $r$ in $cm.$

What are the units of D$?$

$(15$ marks$)$

$2\mathrm{.}2.$ The heat capacity of a golden syrup has the units $\frac{J}{\text{g}\text{m}\text{o}\text{l}}(C)$ and is given by the following relation:

$C_P=139\mathrm{.}1+(1\mathrm{.}56{10}^{-1})T(C),$ where $Tis$ expressed $inC$

Modify the formula so that the heat capacity has the following units: $Bt\frac{u}{l{b}_{\text{m}\text{o}\text{l}}}(R).$

In the given relation, $T$ is used as a specific temperature value and not a unit temperature difference.

$T(C)=\frac{1}{1\mathrm{.}8}[T(R)-460-32]$

Question $3[35]$

$3\mathrm{.}1$ Liquid benzene $(C_6{H}_6)$ flows through a pipe at a rate of $300\frac{m^3}{s}.$ If benzene has a density of $0\mathrm{.}876\frac{g}{c}{m}^3.$ Determine:

$3\mathrm{.}1\mathrm{.}1.$ The mass flow rate of this stream in $k\frac{g}{m}in.$

$(4$ marks$)$

$3\mathrm{.}1\mathrm{.}2.$ The molar flow rate in $mo\frac{l}{s}$ if the molecular weight of benzene is $78\frac{g}{m}ol.$

$(6$ marks$)$

$3\mathrm{.}2.$ An aqueous solution prepared at room temperature contains $55\%H_{2}S{O}_4$ with specific gravity $=1\mathrm{.}2563.$

$3\mathrm{.}2\mathrm{.}1.$ Calculate the volume of the solution that will contain $195\mathrm{.}5kg$ of $H_{2}S{O}_4.$

$(5$ marks$)$

$3\mathrm{.}2\mathrm{.}2.Re-$calculate the volume of the solution if pure component specific gravities of $)=(1\mathrm{.}8255$ 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.

$(7$ marks$)$