# GATE2019-53

Consider the reactor-separator-recycle process operating under steady state conditions as shown in the figure. The reactor is an ideal Continuous-Stirred Tank Reactor ($CSTR$), where the reaction $A+B\rightarrow C$ occurs. Assume that there is no impurity in the product and recycle streams. Other relevant information are provided in the figure. The mole fraction of $B\left ( x_{B} \right )$ in the reactor that minimizes the recycle rate is ____________________________ (rounded off to two decimal places).