# GATE2018-39

A $CSTR$ and a $PFR$ of equal volume are connected in series as shown below to carry out a first-order, isothermal, liquid phase reaction
$$A{\rightarrow}P$$
The rate constant is $0.2\:s^{-1}$. The space-time is $5\:s$ for both the reactors. The overall fractional conversion of $A$ is _____________ (rounded off to third decimal place).