Question $2$

$20$ pts

The gaseous reaction

$A---B$

Has a unimolecular reaction rate constant of $0\mathrm{.}0015mi{n}^{-1}$ at $80F.$ This reaction is to be carried out in parallel tubes $3m$ long and $0\mathrm{.}025m$ inside diameter under a pressure of $910$kPa at $260F.$ A production rate of $1000\frac{g}{h}$ of $B$ is required. Assuming an activation energy of $104,600$ J$/$mol$,$ how many tubes are needed if the conversion of $A$ is to be $82\%?$ Assume perfect gas laws and that A and $B$ each have molecular weights of $58g/$mol