# GATE2016-50

An enzyme converts substrate $A$ to product $B$. At a given liquid feed stream of o rate $25$ L.min$^{-1}$ and feed substrate concentration of $2$ mol.L$^{-1}$, the volume of continuous stirred tank reactor needed for $95 \%$ conversion will be __________L.
Given the rate equation: $-r_A = \dfrac{0.1C_A}{1+0.5C_A}$
where $-r_A$ is the rate of reaction in mol.L$^{-1}$.min$^{-1}$ and $C_A$ is the substrate concentration in mol.L$^{-1}$. Assumptions: Enzyme concentration is contant and does not undergo any deactivation during the reaction