Find the saturation activity induced in gold foil irradiated in a thermal neutron flux of \(1.0 \times 10^{9} \mathrm{n} / \mathrm{cm}^{2} / \mathrm{s}\), given that the activation cross section for \({ }^{197} \mathrm{Au}\) in thermal spectrum is \(98.5 \mathrm{~b}\).