HVAC · Thermodynamics · Problem 1 PDF Solution in PDF ↓
HVAC · Thermodynamics · Problem 1
Problem & Solution
PDF: HVAC-Thermodynamics-01.pdf
Video Synthesis
  • Problem: a 10 horsepower pump with 90% efficiency, transports water to an elevation of 200 feet above the pump.
  • Given: 10 horsepower pump with 90% efficiency, transports water to an elevation of 200 feet above the pump; 200 feet above a...
  • Approach: So let's start with a picture.
  • Key formula: equation for mass, so that potential energy becomes rho vgh over gc
  • Calc: We'll draw a small reservoir 200 feet above a pump.
  • Calc: And we know that that pump is nominally 10 horsepower, but it has an efficiency of 90% so we'll have to make sure to take that ...
  • Result: And that turns out to be 10,680 gallons, which is closest to answer choice C.
Office Hours 3
Student questions asked in live office hours about this problem
OH 67: HVAC: Thermo Module #1
Q: I solved this pumping problem using the pump power equation and got 178, but the solution video shows 10,680—why are these answers so drastically different?
A: The answers differ by a factor of 60—your approach calculated gallons per minute while the question asks for gallons per hour. Always pay close attention to what units the problem is asking for and use dimensional analysis throughout; both methods (water horsepower and fundamental potential energy) are valid, but you must convert to the correct final units.
OH 82: HVAC: Thermo Module #1
Q: Is using the water horsepower formula with GPM (which we're already given) a valid faster approach to problem one instead of manipulating formulas like you showed in the video?
A: Yes, that approach is perfectly valid and faster—use it on the exam. But I'd encourage you to also practice the formula manipulation approach during studying to build flexibility and deeper understanding. Like a baseball player learning multiple pitches, having multiple solution methods gives you optionality and confidence on test day, and the different approaches actually reinforce each other conceptually.
OH 94: HVAC: Thermo Module #1
Q: Is there something fundamentally wrong with using the pump power equation from Section 3.75 of the reference manual to find the flow rate for a pumping problem?
A: No, that equation is absolutely fine and will give you the correct answer. However, I recommend also understanding the foundations-based approach using the work-energy principle (power = work/time, work = potential energy change) because knowing multiple solution methods makes you a more flexible problem solver.
MPEP OH Prep Dashboard Problem 1 · Thermodynamics PDF-Embedded Format