The viscosity (muleft(mathrm{N} cdot mathrm{s} / mathrm{m}^{2} ight)) of water at temperature (T(mathrm{~K})) can be computed from

The viscosity \(\mu\left(\mathrm{N} \cdot \mathrm{s} / \mathrm{m}^{2}\right)\) of water at temperature \(T(\mathrm{~K})\) can be computed from \(\mu=A 10^{B /(T-C)}\), where \(A=2.414 \times 10^{-5} \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}^{2}, B=247.8 \mathrm{~K}\), and \(C=140 \mathrm{~K}\). Determine the viscosity of water at \(30^{\circ} \mathrm{C}\), and estimate its uncertainty if the uncertainty in temperature measurement is \(\pm 0.5^{\circ} \mathrm{C}\).