A tower \(0.6 \mathrm{~m}\) in diameter, packed with \(50-\mathrm{mm}\) ceramic Raschig rings to a depth of \(1.2 \mathrm{~m}\), is to be used for producing a solution of oxygen in water for certain pollution control operation. The packed space will be connected to a gas cylinder containing pure oxygen and maintained at an absolute pressure of \(5 \mathrm{~atm}\). There is no gas outlet, and gas will enter from the cylinder only to maintain pressure, as oxygen dissolves in the water. Water will flow down the packing continuously at the rate of \(1.5 \mathrm{~kg} / \mathrm{s}\). The temperature is to be \(298 \mathrm{~K}\). Assuming that the entering water is oxygen-free, what concentration of oxygen can be expected in the water effluent? Neglect the water-vapor content of the gas.

Data:
\[D_{L}=2.5 \times 10^{-5} \mathrm{~cm}^{2} / \mathrm{s} \quad \mu_{L}=0.894 \mathrm{cP}\]
Henry's law for \(\mathrm{O}_{2}\) in water: \(p_{A}(\mathrm{~atm})=4.38 \times 10^{4} x_{A}\)