Problem \# 1 (35 points) A Newtonian fluid flows through two horizontally connected pipes each of equal length L, but of different dimeters, to form a pipe of length (2L as shown below. The flow in both pipes is laminar and fully developed, and the pressure drop in the first pipe is 1.5 times greater than it is in the second pipe. If the diameter of the first pipe is 10cm, determine the diameter of the second pipe