Benzene is contained in an open beaker of height \(6 \mathrm{~cm}\) and filled to within \(0.5 \mathrm{~cm}\) of the top. The temperature is \(298 \mathrm{~K}\) and the total pressure is \(1 \mathrm{~atm}\). The vapor pressure of benzene is \(0.131 \mathrm{~atm}\) under these conditions, and the diffusion coefficient is \(9.05 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s}\).

Find the rate of evaporation based on

(a) the low-flux model,

(b) exact solutions, and

(c) the low-flux model corrected for the drift flux.