The pressure drop of a nutrient fluid flowing through the hollow fibers of a bioreactor cannot exceed 50 mmHg. There are 10,000 fibers in the bioreactor, and the total flow rate of the nutrient media to the bioreactor is 50 L/min. Estimate the allowable length of these fibers assuming the hollow fiber radius is 0.1 cm, the viscosity of the nutrient fluid is 0.05 Pa. s and the density is 1200 kg/m3.