A very large fermenter is supplied with oxygen sparged in at the bottom to run an aerobic fermentation. Proper control of the device requires that we be able to estimate the percent oxygen absorption. To carry out the estimate we assume that the vessel contains oxygenfree water at \(25^{\circ} \mathrm{C}\) and that the oxygen is supplied as bubbles \(4 \mathrm{~mm}\) in diameter. The depth of the water is \(10 \mathrm{~m}\) and the top of the fermenter is at atmospheric pressure. We may assume that the bubbles are widely separated. How much oxygen is transferred from each bubble assuming the bubble size remains constant? The Henry's law constant for oxygen in water is \(4.38 \times 10^{-4}\).