$3.$ A substance flows through a pipe with an inner diameter of $40$cm and a length of $300$m at a speed of $0\mathrm{.}5$m$/$sec$.$ The substance enters the pipe at $10$C$.$ The pipe is submerged in ice water at $0$C$,$ so the outer surface temperature of the pipe is nearly $0$C$.$

$($a$)$ What is the temperature of the substance at the outlet of the pipe?

$($b$)$ Calculate the heat transfer rate from the substance.