A process heat exchanger has a bypass around it that is normally closed, thus forcing all the process flow through the exchanger. The process fluid (vapor) flows through the shell side of an exchanger, and cooling water flows through the tubes. You may assume that all the heat transfer resistance is on the shell side. During a planned change in operations, it has been determined that additional gas flow will be generated, resulting in an increase of \(70 \%\) above the current flow. However, the pressure drop across the exchanger would be excessive if all of this flow passed through the exchanger. Therefore, the bypass will be opened so that the pressure drop across the process exchanger increases by only \(69 \%\). For this situation answer the following questions:

a. By how much does the flow through the heat exchanger increase?

b. What fraction of the new flow will flow through the bypass?

c. What will be the new overall heat transfer coefficient?