It is desired to reduce the ammonia content of \(0.05 \mathrm{~m}^{3} / \mathrm{s}\) of an ammonia-air mixture ( \(300 \mathrm{~K}\) and \(1 \mathrm{~atm}\) ) from \(5.0 \%\) to \(0.04 \%\) by volume by water scrubbing. There is available a \(0.3-\mathrm{m}\)-diameter tower packed with \(25-\mathrm{mm}\) ceramic Raschig rings to a depth of \(3.5 \mathrm{~m}\). Is the tower satisfactory, and if so, what water rate should be used? At \(300 \mathrm{~K}\), ammonia-water solutions follow Henry's law up to \(5 \mathrm{~mol} \%\) ammonia in the liquid, with \(m=1.414\).

Data

Liquid:-

Density \(=998 \mathrm{~kg} / \mathrm{m}^{3} \quad\) Viscosity \(=0.8 \mathrm{cP}\)
Diffusivity \(=1.64 \times 10^{5} \mathrm{~cm}^{2} / \mathrm{s}\)

Gas:

Viscosity \(=1.84 \times 10{ }^{5} \mathrm{~Pa} \cdot \mathrm{s} \quad\) Diffusivity \(=0.28 \mathrm{~cm}^{2} / \mathrm{s}\)