Enter a calorie rate or power to convert between Cal/kcal/cal per time and kW or W.

Cal to kW Conversion Calculator

Enter exactly 1 value to calculate the other

Assumptions Assumptions
  • Thermochemical calorie is used: 1 cal = 4.184 J; 1 kcal (and 1 Cal, โ€œfood 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‰ˆ 1.162 W.

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

Food Calories per Hour (Cal/h) to kW
Cal/h kW
10.001
50.006
100.012
250.029
500.058
750.087
1000.116
1250.145
1500.174
1750.203
2000.232
2500.291
3000.349
3500.407
4000.465
5000.581
7500.872
10001.162
20002.324
* 1 Cal/h = 4184 J / 3600 s โ‰ˆ 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