he flowchart of a methanol synthesis process is shown below.

The following specifications apply to the labelled streams and process units:

A: Fresh feed$$a mixture of CO$,$ H$2,$ N$2,$ and CO$2.$

B: Feed to the reactor$30\mathrm{.}0$ mol$\%$ CO$,63\mathrm{.}0$ mol$\%$ H$2,2\mathrm{.}0$ mol$\%$ N$2,$ and $5\mathrm{.}0$ mol$\%$ CO$2.$

REACTOR: Two reactions occur and proceed to equilibrium at $200$ C and $4925$ kPa absolute$.$

C: Reactor effluent$$contains all feed and product species at the reactor temperature and pressure.

Species partial pressures satisfy the two given equations:

SEP $1$: Condenses all methanol and water in reactor effluent.

D: Liquid methanol and water. $($These species will be separated by distillation in a unit not shown.$)$

E: Gas containing N$2$ and unreacted CO$,$ H$2,$ and CO$2.$

SEP $2$: Multiple$-$unit separation process.

F: All of the nitrogen and some of the hydrogen in Stream E$.$

G: Recycle stream$$CO$,$ CO$2,$ and $10\%$ of the hydrogen fed to SEP$2.$

a$)$ Taking $100$ kmol$/$h of Stream B as a basis of calculation, calculate the molar flow rates $($kmol$/$h$)$ and

molar compositions of the remaining six labelled streams.

b$)$ The process is to be used to provide $237$ kmol$/$h of methanol. Scale up the flowchart of part $($a$)$ to

calculate the required fresh feed rate $($SCMH$),$ the flow rate of the reactor effluent $($SCMH$),$ and the

actual volumetric flow rate of the reactor effluent $($m$3/$h$),$ assuming ideal gas behaviour.

c$)$ Is the ideal gas assumption good based on molar volume value?