Kilowatt to Ton of Refrigeration (TR) Converter
Power · unit-converter
Convert Kilowatt to Ton of Refrigeration (TR) with a fixed input and output unit, step-by-step formula line, and reference tables. Linear units use SI watt definitions; mechanical hp uses 550 ft·lbf/s; BTU/h uses the IT BTU; dBm/dBW are logarithmic relative to 1 mW and 1 W. The full Power Converter also includes PS/CV, TR, kVA/MVA, and ft·lb/s.
Calculator
From: Kilowatt (kw)
To: Ton of Refrigeration (TR) (tr)
About Kilowatt
One kilowatt is 1,000 W. Motor, heater, and grid-scale loads are often rated in kW.
About Ton of Refrigeration (TR)
One ton of refrigeration (TR) equals 12,000 BTU/h (IT), approximately 3,516.85 W. It is widely used in HVAC and refrigeration sizing.
How to convert kilowatts to tons of refrigeration (tr)
1 kilowatt is equal to 0.284345136094 ton of refrigeration (tr) when both are expressed in watt-equivalents:
1 kw = (1,000 W ÷ 3,516.8528420666667 W) tr = 0.284345136094 tr
Each kilowatt is defined as 1,000 W and each ton of refrigeration (tr) as 3,516.8528420666667 W in this tool, so one kw equals 1,000 ÷ 3,516.8528420666667 tr = 0.284345136094 tr.
Let d(kw) be the numeric value in Kilowatt (kw), and d(tr) the value in Ton of Refrigeration (TR) (tr). Then:
d(tr) = d(kw) × (1,000 / 3,516.8528420666667)
Equivalently, divide by how many kw fit into one tr (watts per tr divided by watts per kw):
d(tr) = d(kw) ÷ 3.51685284206667
Or: ton of refrigeration (tr) = kilowatt ÷ 3.51685284206667
Examples
Example #1: Convert 1 kw to ton of refrigeration (tr)
1 kw = 1 kw × (1,000/3,516.8528420666667) tr = 0.2843451361 tr
1 kw = 1 kw ÷ 3.51685284206667 = 0.2843451361 tr
Intermediate watts: 1,000 W
Example #2: Convert 10 kw to ton of refrigeration (tr)
10 kw = 10 kw × (1,000/3,516.8528420666667) tr = 2.8434513609 tr
10 kw = 10 kw ÷ 3.51685284206667 = 2.8434513609 tr
Intermediate watts: 10,000 W
Summary
To convert Kilowatt to Ton of Refrigeration (TR), multiply the value in kw by the ratio of watts per kw divided by watts per tr. Equivalently: value_tr = value_kw × (1000 / 3516.8528420666667). Numerically, 1 kw equals 0.28434513609399514 tr.
Relationship context
You are converting between SI / decimal power (watts and prefixes) (Kilowatts) and apparent power at unity PF (VA) (Tons of Refrigeration (TR)). All linear values are mapped through watts first. The numeric factor is 2.843451e-1.
Conversion tables
| Kilowatt (kw) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 0.1 | 0.0284345136 |
| 1 | 0.2843451361 |
| 2 | 0.5686902722 |
| 3 | 0.8530354083 |
| 4 | 1.1373805444 |
| 5 | 1.4217256805 |
| 6 | 1.7060708166 |
| 7 | 1.9904159527 |
| 8 | 2.2747610888 |
| 9 | 2.5591062248 |
| Kilowatt (kw) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 10 | 2.8434513609 |
| 20 | 5.6869027219 |
| 30 | 8.5303540828 |
| 40 | 11.3738054438 |
| 50 | 14.2172568047 |
| 60 | 17.0607081656 |
| 70 | 19.9041595266 |
| 80 | 22.7476108875 |
| 90 | 25.5910622485 |
| 100 | 28.4345136094 |