cal to kWh Converter - Calorie to Kilowatt-hour
Calorie (cal) to Kilowatt-hour (kWh)
Direct answer
1 cal = 0.000001162222 kWh
kWh = cal × 0.000001162222
Converter
Conversion formula
kWh = cal × 0.000001162222
cal = kWh × 860,420.650096
Example: 10 cal = 10 × 0.000001162222 = 0.000011622222 kWh.
Common conversion table
| cal | kWh |
|---|---|
| 1 cal | 0.000001162222 kWh |
| 2 cal | 0.000002324444 kWh |
| 5 cal | 0.000005811111 kWh |
| 10 cal | 0.000011622222 kWh |
| 20 cal | 0.000023244444 kWh |
| 50 cal | 0.000058111111 kWh |
| 100 cal | 0.000116222222 kWh |
| 1,000 cal | 0.001162222222 kWh |
Conversion derivation
Express both cal and kWh in the same base unit J (joule), then cancel the shared base unit.
- 1
Rewrite cal in the base unit
- 2
Rewrite kWh in the base unit
- 3
Forward conversion
- 4
Reverse conversion
AI explanation for this conversion
This pre-generated explanation is schema-checked. Numeric results still come from the page formula and calculator.
Calorie to Kilowatt-hour Conversion
This conversion connects the nutritional calorie to the kilowatt-hour, an energy unit used for electrical consumption. The factor is derived by expressing both units in the same base unit, the joule.
Definition
A calorie (cal) is a unit of energy defined as exactly 4.184 joules. A kilowatt-hour (kWh) is a unit of energy equal to the energy consumed by a one-kilowatt device operating for one hour, which is exactly 3,600,000 joules.
Principle
The conversion factor is obtained by dividing the number of joules in one calorie by the number of joules in one kilowatt-hour. This ratio gives the equivalent value of one calorie expressed in kilowatt-hours.
Assumptions
- The calorie (cal) is the thermochemical calorie, defined as exactly 4.184 joules.
- The kilowatt-hour (kWh) is defined in terms of the joule using the exact conversion 1 kWh = 3,600,000 J.
- The conversion is a direct mathematical equivalence between defined energy quantities.
Cautions
- The result is a very small number due to the large difference in the scales of the two units.
- In practical contexts, a 'calorie' often refers to a 'food Calorie' (kilocalorie), which is 1,000 times larger. This conversion uses the standard thermochemical calorie (cal).
- The provided factor and reverse factor are rounded. For high-precision calculations, use the exact values from the defining constants.
FAQ
How many kWh are in 1 cal?
1 cal = 0.000001162222 kWh.
How many kWh are in 10 cal?
10 cal = 0.000011622222 kWh.
How many kWh are in 100 cal?
100 cal = 0.000116222222 kWh.
What is the formula to convert cal to kWh?
Use kWh = cal × 0.000001162222.
How many cal are in 1 kWh?
1 kWh = 860,420.650096 cal.
What should I check when converting cal to kWh?
Use the conversion factor and round the result to the precision required by your calculation.