Water is to be cooled at the rate of \(10 \mathrm{~kg} / \mathrm{s}\) from \(317 \mathrm{~K}\) to \(300 \mathrm{~K}\) in a countercurrent cooling tower under conditions such that \(H_{t O G}=2.5 \mathrm{~m}\). Air enters at the bottom of the tower at \(297 \mathrm{~K}\) and a wet-bulb temperature of \(294 \mathrm{~K}\). The air rate to use is 1.33 times the minimum.

(a) Using the results of Problem (8.6), calculate the minimum air rate.

(b) For the specified air flow rate \(\left[1.33 V^{\prime}{ }_{S}(\min )\right]\), calculate the number of overall transfer units and tower packed height.