ProblemProblem # $1$: Sizing a pipe

A heat exchanger is required, which will be able to handle $0\mathrm{.}0567$ m$3/$s of water at $25$C flowing through a smooth horizontal pipe with an equivalent length of $122$ m$.$ The total pressure drop is $103,000$ Pa$.$ What size pipe is required for this application? Assume that the pipe is isolated from the environment. Do not ignore friction losses. Hint: This is a trial and error problem.