The following elementary, constant temperature gas phase reaction takes place in a packed

bed reactor:

$2+->$

The feed consists of $50$ mole$\%$ A$,40$ mole $\%$ B and $10$ mole$\%$ of an inert gas. The inlet

temperature is $380$ K and the inlet pressure is $150$ kPa. The Ergun equation for pressure drop

in a packed bed reactor with variable density holds with the value of alpha equal to $2\mathrm{.}66$x$10-8$

kg$-1.$

If the conversion of the limiting reagent is to be $90\%,$ calculate the pressure drop across the

reactor for a volumetric flowrate of $5$ L$/$min$.$

$=0\mathrm{.}004$ at $300$ with $=2550$

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