Question $2$

A liquid flow reaction takes place in a CSTR with volume $100L.$ The reaction is first order in A and first order in B$.$

$A+B2C$

The molar flowrate of A is $75\%$ that of B$.$ The total volumetric flowrate is $10\frac{L}{m}in$ and the initial concentration of B in the feed is $2mo\frac{l}{L}.$

If the CSTR is to be replaced with a PFR$,$ calculate the volume of the PFR that gives the same conversion of the limiting reagent at the same reaction conditions. The reaction rate constant at the reaction temperature is $0\mathrm{.}15385\frac{L}{m}ol.s.$