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MATLAB Assume that you have a reservoir of water at 50 degrees F. You want to ra

ID: 3665443 • Letter: M

Question

MATLAB

Assume that you have a reservoir of water at 50 degrees F. You want to raise the temperature of water to 100 degrees F by pumping it through a 50,000 BTU water heater. What is the maximum flow rate of the water, in cubic feet per minute, that keeps the temperature above 100 degrees F. The water temperature will be raised 50 degrees F. Put the 50 degrees into a variable so that the change in water temperature can be changed to a different value and a new flow rate will be calculated.

Assume: 1 BTU will raise the temperature of 1 pound of water 1 degree F.

1 ft^3 of water weighs 62.4 pounds

Explanation / Answer

It's a variation of the standard sensible heat equation:

energy = mass * specific heat * temperature change

50,000 BTU/hr = mass flow rate * 1 BTU/lbF * 50F

mass flow rate = 1000 lb/hr