The operation of a constant density plug flow reactor for the production of a substance via an enzymatic reaction is described by the equation below, where V is the volume of reactor, F is the flow rate of reactant C, C_in and C_out are the concentrations of reactant entering and leaving the reactor, respectively, and K and K_max are constant. For a 500-L reactor with an inlet concentration of C_in = 0.5 M, an inlet flow rate of 40 L/s, k_max = 5 x 10^?3 s^?1, and K = 0.1 M, find the concentration of C at the outlet of the reactor.

Cin kimax C kmas