The irreversible liquid phase reactionis half order in A. The reaction is carried out in a...

The irreversible liquid phase reaction

is half order in A. The reaction is carried out in a nonideal CSTR, which can be modeled using the segregation model. RTD measurements on the reactor gave values of τ = 5 min and σ = 3 min. For an entering concentration of pure A of 1.0 mol/dm3 the mean exit conversion was 10%. Estimate the specific reaction rate constant, k1. Hint: Assume a Gaussian distribution.