Formula
International Table British thermal units = Kilowatt-hours × 3412.14163312794Direct answer
Multiply the entered kilowatt-hours value by 3412.14163312794 to express it in international table british thermal units (Btu_IT). This converts kilowatt-hour (kWh) to International Table British thermal unit (Btu_IT) within the documented energy family.
Variables and formula
- Kilowatt-hours (kWh): the source value measured in kilowatt-hour.
- International Table British thermal units (Btu_IT): the same quantity expressed in International Table British thermal unit.
- Conversion factor: 3412.14163312794 international table british thermal units per kilowatt-hour.
International Table British thermal units = Kilowatt-hours × 3412.14163312794
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: kilowatt-hour (kWh). A kilowatt-hour is the energy transferred by one kilowatt for one hour: 1 kWh = 1000 J/s × 3600 s = 3,600,000 J. Named variant used: Energy unit; not kilowatt per hour. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.
Target unit: International Table British thermal unit (Btu_IT). The International Table British thermal unit, Btu_IT, is exactly 1.05505585262 kJ, or 1055.05585262 J. Named variant used: International Table Btu (Btu_IT); not Btu_th, mean Btu, or a temperature-specific Btu variant. Reference: National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.
The kWh-to-Btu_IT direction remains inside the energy quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
The named unit relationships are defined or exact, so the conversion is exact before display rounding and source-measurement uncertainty.
- kWh relationship: The relationship is exact.
- Btu_IT relationship: The terminating base factor is exact for the International Table variant.
To audit the factor through the family base unit, divide the raw dataset factors 3600000 by 1055.05585262. The generator emits that quotient once at 15 significant digits as the canonical direct factor 3412.14163312794; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 kilowatt-hours, 10 × 3412.14163312794 = 34121.4163312794 international table british thermal units. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one kilowatt-hour contains 3412.14163312794 international table british thermal units, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 kWh | 1 × 3412.14163312794 |
3412.14163312794 Btu_IT |
| 10 kWh | 10 × 3412.14163312794 |
34121.4163312794 Btu_IT |
| 100 kWh | 100 × 3412.14163312794 |
341214.163312794 Btu_IT |
| 1000 kWh | 1000 × 3412.14163312794 |
3412141.63312794 Btu_IT |
Interpretation
Read the result as international table british thermal units, not kilowatt-hours. A value entered as kWh leaves the calculator labelled Btu_IT; this directional distinction matters even when the two units describe the same energy quantity.
Assumptions and limitations
- Only non-negative energy amounts are accepted by this family; sign conventions for import/export require a separate model.
- Calorie means the thermochemical calorie (cal_th), exactly 4.184 J, not the International Table calorie or dietary Calorie/kilocalorie.
- Btu means the International Table British thermal unit (Btu_IT), exactly 1055.05585262 J, not thermochemical, mean, 39 °F, 59 °F, or 60 °F variants.
Common mistakes
- kW/h is a rate of change of power and is not kWh.
- Several Btu variants have different joule factors; an unqualified source value must be identified before high-precision conversion.
Continue within the Energy family
See the Energy conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: International Table British thermal units to Kilowatt-hours
- Compare another energy route: Kilowatt-hours to Joules
- Compare another energy route: Kilowatt-hours to Kilojoules
- Compare another energy route: Kilowatt-hours to Thermochemical calories
- Compare another energy route: International Table British thermal units to Joules
Assumptions
- The entered value uses kilowatt-hours exactly as labelled.
- Only non-negative energy amounts are accepted by this family; sign conventions for import/export require a separate model.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; accessed Aug 7, 2026