This gas fermenter is operated as a continuous process where the gas inlet stream of $100$

$g{h}^{-1}$ of mole fraction $0\mathrm{.}552C{O}_2($molecular weight $44a)$ with the remainder $H_2,$ is injected

as microbubbles that are dispersed and dissolved in the fermentation media. A second inlet

stream is comprised of glucose $(C_6{H}_{12}{O}_6,180a)$ which is anaerobically

decomposed to $C{O}_2$ and ethanol:

An exit stream drains from the fermenter at constant rate so that the liquid volume in the

fermenter is unchanged. All streams and the fermenter have constant temperature $37C.$

Presume that all the gas inlet stream is metabolized by the Clostridium ljungdahlii and all

glucose is converted to products. Draw a process diagram. List all your assumptions

necessary to write a material balance. Hint: Treat the outlet as two hypothetical streams $-$

one coming from the endothermic gas fermentation and the other from the exothermic

catabolism of glucose.

Write overall materials and energy balances for the transformation from initial inputs

to outputs. Make assumptions about which terms are negligible. Write a mass

balance for each of ethanol, water, and $C{O}_2{?}_{{?}_{?}}$

$1$a$.$ Solve for the mass flow rates of all inlet and outlet streams. What is the cooling or

heating duty $Q$ necessary to maintain the system temperature at $37C?$