In a single-pass shell-and-tube heat exchanger, cooling water is used to condense an organic vapor. Under present operating conditions, the heat transfer coefficients are \(h_{o}=2000 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\) (turbulent flow of cooling water), \(h_{i}=700 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). Fouling is negligible, and the tubes are 1. 25in 16-BWG carbon steel. Water flows in the shell. If the cooling water rate were to rise suddenly by \(15 \%\), estimate the change in overall heat transfer coefficient. Clearly state all assumptions made.