Enter a calorie rate or power to convert between Cal/kcal/cal per time and kW or W.
Assumptions Assumptions
- Thermochemical calorie is used: 1 cal = 4.184 J; 1 kcal (and 1 Cal, โfood Calorieโ) = 4184 J.
- Rates are pure energy-per-time conversions; no efficiency or heat-loss factors are applied.
- Time base: 1 min = 60 s; 1 h = 3600 s; 1 day = 86400 s; power: 1 kW = 1000 W.
- Values are treated as steady (average) rates over the selected time unit.
When to Use This Calculator
- Converting nutrition or metabolic rates (Cal/h, kcal/min) to electrical power (W, kW).
- Relating heat-generation/absorption rates to equipment power ratings.
- HVAC, lab, or classroom problems involving energy rate conversions.
Input Definitions
- Calorie Rate โ choose cal, kcal, or Cal and a time unit (s, min, h, day).
- Power โ choose output in W or kW.
- Quick refs โ 1 cal/s = 4.184 W; 1 kcal/s (Cal/s) = 4.184 kW; 1 Cal/h โ 1.162 W.
- All Unit Converters
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- Cal to kWh Conversion Calculator
- kcal to kW Conversion Calculator
- Joules to kW Calculator
- kJ to kW Calculator
Cal to kW Formula
The following formulas convert a calorie rate to power in kilowatts and back, using Joules per calorie and seconds per time unit.
\mathrm{kW} = \frac{r \cdot J_u}{t_s \cdot 1000}r = \frac{\mathrm{kW} \cdot 1000 \cdot t_s}{J_u}- Small calorie: 1 cal = 4.184 J (so J_u = 4.184 J/cal).
- Kilocalorie/food Calorie: 1 kcal = 1 Cal = 4184 J (so J_u = 4184 J/kcal or J/Cal).
- Time bases: t_s = 1 (s), 60 (min), 3600 (h), 86400 (day).
- Power: 1 kW = 1000 W.
How do you convert a Calorie rate to kW? Multiply the rate by Joules per calorie (4.184 for cal or 4184 for kcal/Cal), divide by the seconds in the chosen time unit, then divide by 1000 to get kW.
How do you convert kW to a Calorie rate? Multiply kW by 1000 to get W, multiply by seconds in the target time unit, then divide by Joules per calorie for the chosen Calorie unit.
Cal/h to kW Conversion Table
| Cal/h | kW |
|---|---|
| 1 | 0.001 |
| 5 | 0.006 |
| 10 | 0.012 |
| 25 | 0.029 |
| 50 | 0.058 |
| 75 | 0.087 |
| 100 | 0.116 |
| 125 | 0.145 |
| 150 | 0.174 |
| 175 | 0.203 |
| 200 | 0.232 |
| 250 | 0.291 |
| 300 | 0.349 |
| 350 | 0.407 |
| 400 | 0.465 |
| 500 | 0.581 |
| 750 | 0.872 |
| 1000 | 1.162 |
| 2000 | 2.324 |
| * 1 Cal/h = 4184 J / 3600 s โ 1.16222 W = 0.00116222 kW. | |
Example Problem
Convert 250 Cal/h to kW.
Use the formula: kW = (Cal/h ร 4184) รท (3600 ร 1000).
kW = 250 ร 4184 รท 3,600,000 = 0.2906 kW
