The liquid$-$phase reaction

A$->$B

was carried out in a CSTR$.$ For an entering concentration of $2$ mol$/$dm$3,$ the conversion was $40\%.$ For the

same reactor volume and entering conditions as the CSTR$,$ the expected PFR conversion is $48\mathrm{.}6\%.$ However, the PFR conversion was amazingly $50\%$ exactly. Quantitatively show how these conversions came about $($i$.$e$.,$ the expected conversion and actual conversion$).$ Show the calculation as well.