Toluene is manufactured by the catalytic conversion of $n-$heptane according to

the reaction:

$C_7{H}_{16}{C}_6{H}_{5}C{H}_3+4H_2$

The $n-$heptane is fed to the reactor at a temperature of $400C$ and the reaction

goes to $20\%$ completion.

a$)$ Choosing a suitable basis, calculate the number of moles of all components in

the product stream.

$[2$ marks$]$

b$)$ Write an energy balance for the system stating the references and any

assumptions clearly.

$[2$ marks$]$

c$)$ Calculate the standard heat of reaction at $25C.$

$[4$ marks$]$

d$)$ Calculate how much heat has to be added or removed from the reactor to

make it isothermal at $400C.$ State any assumptions clearly.

$[4$ marks$]$

Data: Standard heats of formation at $1$atm and $25C$ :

n$-$heptane $($I$),-53\mathrm{.}630$kca$\frac{l}{m}$ole

$C{O}_2(g),-94\mathrm{.}052$kca$\frac{l}{m}$ole

$H_{2}O(g),-57\mathrm{.}798$kca$\frac{l}{m}$ole

Standard heat of combustion at $1$atm and $25C$ :

Toluene $($I$),-934\mathrm{.}5$kca$\frac{l}{m}$ole

Latent heat of vaporization at $1$atm and $25C$ :

$H_{2}O,10\mathrm{.}52$kca$\frac{l}{m}$ole

Table Q$3$ Thermodynamic Properties of toluene, n$-$heptane and hydrogen