A recently installed induced-draft cooling tower (with the fan located at the top) was guaranteed by the manufacturer to cool \(450 \mathrm{~m}^{3} / \mathrm{h}\) of water from \(316 \mathrm{~K}\) to \(303 \mathrm{~K}\) when the available air has a wet-bulb temperature of \(297 \mathrm{~K}\). A test on the tower, when operated at full fan capacity, provided the following results:

Inlet water, \(450 \mathrm{~m}^{3} / \mathrm{h}, 319 \mathrm{~K}\)

Outlet water, \(298.6 \mathrm{~K}\)

Inlet air, \(297 \mathrm{~K}\) dry-bulb, \(288.6 \mathrm{~K}\) wet-bulb temperature Outlet air, \(310.6 \mathrm{~K}\) essentially saturated

(a) What is the fan capacity, \(\mathrm{m}^{3} / \mathrm{s}\) ?

(b) Can the tower be expected to meet the guaranteed conditions? Note that, to do so, \(N_{t O G}\) in the test must be at least equal to the guaranteed value if \(H_{t O G}\) is unchanged.