Convert GPM to tons of refrigeration (TR) from water flow and temperature difference, or TR to GPM, plus fluid mass flow in tons per hour.
- All Unit Converters
- Thermodynamics and Fluid Unit Converters
- GPM to Pipe Size Calculator
- Gallons to Tons Calculator
GPM to Tons Formula
For accumulated fluid mass, use M = FR ร SG ร t ร60 ร8.34 /2000, with approximate reference water density8.34 lb/USgal. Separately, refrigeration tons =C ร US GPM ร ฮยฐF /12000; Cโ500 for water, or use a custom factor from fluid density and specific heat.
Variables:
- M is the fluid mass in US short tons (2000 lb)
- FR is the flow rate in gallons per minute (GPM)
- SG is the specific gravity of the fluid (relative to water)
- t is the elapsed time in hours
To calculate the mass in tons, multiply the flow rate in GPM by the specific gravity, then by the time in hours, and finally by the conversion factors to get the mass in tons.
| Flow Rate (GPM) | Short Tons per Hour (TPH) | Metric Tons per Hour (t/h) |
|---|---|---|
| 1 | 0.250 | 0.227 |
| 2 | 0.500 | 0.454 |
| 3 | 0.751 | 0.681 |
| 5 | 1.251 | 1.135 |
| 10 | 2.502 | 2.270 |
| 15 | 3.753 | 3.405 |
| 20 | 5.004 | 4.540 |
| 25 | 6.255 | 5.674 |
| 30 | 7.506 | 6.809 |
| 40 | 10.008 | 9.079 |
| 50 | 12.510 | 11.349 |
| 60 | 15.012 | 13.619 |
| 75 | 18.765 | 17.023 |
| 100 | 25.020 | 22.698 |
| 150 | 37.530 | 34.047 |
| 200 | 50.040 | 45.396 |
| 250 | 62.550 | 56.744 |
| 300 | 75.060 | 68.093 |
| 400 | 100.080 | 90.791 |
| 500 | 125.100 | 113.489 |
| * Rounded to 3 decimals. Assumes approximate water density8.34 lb/USgal and SG=1.00. Formula: TPH (short) = GPM ร 8.34 ร 60 / 2000 โ GPM ร 0.2502. Metric t/h = TPH (short) ร0.90718474. | ||
What is Specific Gravity?
Specific gravity is a dimensionless quantity that represents the ratio of the density of a substance to the density of a reference substance; for liquids, the reference substance is usually water at 4 ยฐC. It is used to compare the density of a fluid to the density of water.
How to Calculate Mass in Tons from GPM?
The following steps outline how to calculate the mass in tons from GPM:
- First, determine the flow rate (FR) in gallons per minute.
- Next, determine the specific gravity (SG) of the fluid relative to water.
- Next, determine the time (T) in hours over which the flow rate is measured.
- Select the mass task and use M = (FR ร SG ร t ร60 ร8.34) /2000 for approximate US short tons. The reference density can be adjusted.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Flow rate (FR) = 100 GPM
Specific gravity (SG) = 1.03 (relative to water)
Time (t) =2 hours; estimated mass =100 ร1.03 ร2 ร60 ร8.34 /2000 =51.5412 US short tons.
