What is the relationship between specific heat and the rate of heating?

the rate of heat transfer is directly proportional to the mass flow rate.

Explanation:

There is an elementary equation from basic thermodynamics that states that the rate of heat transfer (Q) equals the mass flow rate (M) times a Constant (the specific heat of water) times the Delta T (fluid temp out minus fluid temp in): Q = M x C x Delta T In other words, the rate of heat transfer is directly proportional to the mass flow rate.

water at room temperature is flowing through a pipe with pressure taps located 10 ft apart along one section of the pipe, which are connected to a mercury (s=13.6) manometer.