How to Convert Watts to Btu per Hour
To convert a power measurement from watts to btu per hour, multiply the power value by the conversion factor. Since one watt is equal to 3.412142 btu per hour, you can use this formula:
The power in btu per hour is equal to the watts multiplied by 3.412142.
Using the formula: btu per hour = watts × 3.412142
btu per hour = 5 W × 3.412142 = 17.0607 Btu/h
Therefore, 5 watts equals 17.0607 btu per hour.
How Many Btu per Hour Are in a Watt?
There are 3.412142 btu per hour in one watt.
What Is a Watt?
The watt (symbol: W) is the SI derived unit of power, named after Scottish inventor James Watt. It is defined as one joule per second (1 W = 1 J/s), representing the rate of energy transfer or conversion. In the International System of Units, one watt equals one kilogram metre squared per second cubed (1 W = 1 kg·m²/s³). The watt is also equivalent to one volt ampere (1 VA) in electrical circuits, linking mechanical and electrical power. In everyday life, watts are encountered constantly. A typical LED light bulb uses 8–15 W, a microwave oven uses 600–1,200 W, and a household hair dryer uses 1,000–2,000 W. The human body at rest produces approximately 80–100 W of heat. In electrical engineering, the watt is the fundamental unit for specifying the power consumption of devices, the output of generators, and the capacity of power supplies. Power ratings on appliances, battery chargers, and solar panels are all expressed in watts or its multiples (kW, MW).
One watt is equal to:
- 1 joule per second (J/s)
- 0.001 kilowatts (kW)
- 1,000 milliwatts (mW)
- 106 microwatts (μW)
- 0.00134102 horsepower (hp)
- 3.41214 Btu per hour (Btu/h)
- 0.860421 kilocalories per hour (kcal/h)
What Is a Btu per Hour?
The British thermal unit per hour (symbol: Btu/h) is a unit of power commonly used in the heating, ventilation, and air conditioning (HVAC) industry, particularly in the United States. One Btu per hour is the rate of energy transfer equal to one British thermal unit every hour. One BTU is defined as the amount of heat required to raise the temperature of one pound of water by one degree Fahrenheit at a constant pressure of one atmosphere. The International Table BTU equals exactly 1,055.05585262 joules. Btu per hour is the standard rating unit for heating and cooling equipment in the United States. Furnaces, air conditioners, heat pumps, and water heaters are all rated in Btu/h or thousands of Btu/h (MBtu/h or kBtu/h). A typical residential furnace is rated at 40,000–120,000 Btu/h, and a central air conditioner at 18,000–60,000 Btu/h. In the HVAC industry, the “ton of refrigeration” (12,000 Btu/h) is a common unit for air conditioning capacity. A 3-ton residential AC unit has a cooling capacity of 36,000 Btu/h. Natural gas consumption is also measured in Btu. A gas water heater might use 30,000–50,000 Btu/h, while a gas furnace might consume 60,000–100,000 Btu/h when running.
One btu per hour is equal to:
- 0.293071 watts (W)
- 293.071 milliwatts (mW)
- 2.93071 × 10−4 kilowatts (kW)
- 3.93015 × 10−4 horsepower (hp)
- 0.252164 kilocalories per hour (kcal/h)
Understanding Power Units
Power is the rate at which energy is transferred, converted, or used per unit of time. In physics, power equals work done divided by the time taken (P = W/t), or equivalently, force times velocity (P = Fv). Power is a scalar quantity measured in watts in the SI system.
Different power units reflect the diverse fields in which power is measured. The watt (and its multiples) dominate science and electrical engineering, while horsepower remains entrenched in the automotive and mechanical industries. Btu per hour is the standard in the American HVAC industry, and kilocalories per hour bridges the gap between physics and nutrition science.
Major Power Unit Families
- SI / Metric units: The watt (W) is the SI unit of power, with standard metric prefixes (μW, mW, kW, MW). One watt equals one joule per second (1 W = 1 J/s = 1 kg·m²/s³).
- Mechanical horsepower: Defined as 550 ft·lbf/s ≈ 745.7 W. Used primarily for rating engines and motors, especially in the US automotive industry.
- British thermal units per hour: Based on the BTU, a traditional unit of heat energy. 1 Btu/h ≈ 0.2931 W. Standard in the US HVAC industry for heating and cooling equipment ratings.
- Kilocalories per hour: Based on the thermochemical kilocalorie. 1 kcal/h ≈ 1.162 W. Used in nutrition, exercise science, and some HVAC applications outside the US.
Power in Everyday Life
- Lighting: LED bulbs use 5–15 W, CFL bulbs 13–25 W, and incandescent bulbs 40–100 W for comparable brightness.
- Computing: A smartphone charger delivers 5–25 W, a laptop uses 30–100 W, and a desktop gaming PC can draw 300–800 W.
- Transportation: A typical car engine produces 100–300 hp (75–225 kW), while a locomotive produces 3,000–6,000 hp (2.2–4.5 MW).
- Human body: At rest, the human body generates about 80–100 W of heat. During vigorous exercise, this can rise to 1,000–2,000 W.
Converting Between Power Units
All power units measure the same physical quantity — the rate of energy transfer — so converting between them is a matter of multiplying by the appropriate conversion factor. The factor is the ratio of how many watts one unit of the source contains divided by how many watts one unit of the target contains.
Key conversion constants: 1 hp = 745.7 W, 1 Btu/h ≈ 0.2931 W, 1 kcal/h ≈ 1.162 W. For SI prefixes, each step is a factor of 1,000 (1 kW = 1,000 W, 1 MW = 1,000 kW).
Tips for Power Conversions
- For SI metric conversions (μW, mW, W, kW, MW), each prefix step is a factor of 1,000. So 1 MW = 1,000 kW = 1,000,000 W.
- To convert horsepower to kilowatts, multiply by 0.7457. To go the other way, divide by 0.7457 (or multiply by 1.341).
- Quick mental estimate: 1 hp ≈ ¾ kW, or 4 hp ≈ 3 kW. This is handy for quick comparisons.
- In HVAC, 1 ton of refrigeration = 12,000 Btu/h ≈ 3.517 kW. A “3-ton” air conditioner = 36,000 Btu/h ≈ 10.55 kW.
- For Btu/h to watts: divide by 3.412. For watts to Btu/h: multiply by 3.412.
- The “Calories” on food labels are actually kilocalories (kcal). A food with 100 Calories provides 100 kcal of energy.
- Don’t confuse power (watts) with energy (watt-hours). A 100 W light bulb running for 10 hours uses 1,000 Wh = 1 kWh of energy.
- When comparing engine power ratings, ensure you’re using the same type of horsepower. Mechanical hp (≈ 745.7 W) is slightly different from metric hp (≈ 735.5 W).
Watts to Btu per Hour Conversion Table
The following table shows conversions from watts to btu per hour.
| Watts | Btu per Hour (Btu/h) |
|---|---|
| 1 W | 3.41214 |
| 2 W | 6.82428 |
| 3 W | 10.2364 |
| 4 W | 13.6486 |
| 5 W | 17.0607 |
| 6 W | 20.4728 |
| 7 W | 23.885 |
| 8 W | 27.2971 |
| 9 W | 30.7093 |
| 10 W | 34.1214 |
| 11 W | 37.5336 |
| 12 W | 40.9457 |
| 13 W | 44.3578 |
| 14 W | 47.77 |
| 15 W | 51.1821 |
| 16 W | 54.5943 |
| 17 W | 58.0064 |
| 18 W | 61.4185 |
| 19 W | 64.8307 |
| 20 W | 68.2428 |
| 21 W | 71.655 |
| 22 W | 75.0671 |
| 23 W | 78.4793 |
| 24 W | 81.8914 |
| 25 W | 85.3035 |
| 26 W | 88.7157 |
| 27 W | 92.1278 |
| 28 W | 95.54 |
| 29 W | 98.9521 |
| 30 W | 102.364 |
| 31 W | 105.776 |
| 32 W | 109.189 |
| 33 W | 112.601 |
| 34 W | 116.013 |
| 35 W | 119.425 |
| 36 W | 122.837 |
| 37 W | 126.249 |
| 38 W | 129.661 |
| 39 W | 133.074 |
| 40 W | 136.486 |