Final answer:
The heat output in BTU/h of a terminal unit with a ΔT of 10°F and a water flow rate of 5 GPM would be 25,000 BTU/h using the formula Q = 500 * GPM * ΔT. However, this result does not match any of the provided multiple-choice options.
Step-by-step explanation:
The student has asked what the heat output in BTU/h of a terminal unit is, given a water flow rate of 5 gallons per minute (GPM) and a temperature difference (ΔT) of 10°F. The formula to calculate the heat transfer rate in building technology is Q = 500 * GPM * ΔT, where 500 is a constant representing the density and specific heat of water when units are in BTU/h, GPM, and degrees Fahrenheit.
In the given scenario, the student would apply this formula:
Q = 500 * 5 GPM * 10°F
Q = 2500 * 10°F
Q = 25000 BTU/h
However, none of the answer choices provided (A) 50 B) 100 C) 150 D) 200) match the calculated value, suggesting there might be an error in the question or the provided answers. If we must choose from the given options, one may need to review the question's context or details to determine the correct answer.