$2A$ Products

Determine the plug flow reactor volume for a second order irreversible gas phase reaction. The reaction occurs

at $5$atm and $327C.$ Assume the reaction is isothermal and isobaric.

A$)$ Starting from FA$0d\frac{x}{d}v=-ra,$ using $=0(1+x)(\frac{T}{T}0)(P\frac{O}{P})$ and some other equations, and using the

integral table, obtain the result.

$V=\frac{0}{k}CA0[2(1+)ln(1-x)+{}^{2}x+(1+{)}^2\frac{x}{1}-x]$

B$)$ Using FA$0=200mo\frac{l}{s},K=3L^{**}mo{l}^{**}-1s^{**}-1($measured at $327C)=2,R=0\mathrm{.}082L^{**}at\frac{m}{m}o{l}^{**}K)$ calculate the

volume of reactor.