For the home hemodialysis device operating with a blood flow rate of \(133 \mathrm{~mL} / \mathrm{min}\) and a dialysate flow rate of \(300 \mathrm{~mL} / \mathrm{min}\), the fiber-side (blood-side) mass-transfer coefficient is \(0.00152 \mathrm{~cm} / \mathrm{s}\), the permeability is \(3 \times 10^{-5} \mathrm{~cm}^{2} / \mathrm{s}\), and the overall mass-transfer coefficient is \(0.000597 \mathrm{~cm} / \mathrm{s}\).

(a) Estimate the dialysate-side mass-transfer coefficient.

(b) When the overall mass-transfer coefficient is doubled, how must the dialysate-side mass-transfer coefficient be adjusted. That is, compute a new value for the dialysate-side mass-transfer coefficient.