Formula
Thermochemical calories = Kilojoules × 239.005736137667Direct answer
Multiply the entered kilojoules value by 239.005736137667 to express it in thermochemical calories (cal_th). This converts kilojoule (kJ) to thermochemical calorie (cal_th) within the documented energy family.
Variables and formula
- Kilojoules (kJ): the source value measured in kilojoule.
- Thermochemical calories (cal_th): the same quantity expressed in thermochemical calorie.
- Conversion factor: 239.005736137667 thermochemical calories per kilojoule.
Thermochemical calories = Kilojoules × 239.005736137667
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: kilojoule (kJ). A kilojoule is the SI decimal multiple formed with kilo: 1 kJ = 1000 J. The canonical kilojoule definition is used; no alternate named variant is implied. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.
Target unit: thermochemical calorie (cal_th). The thermochemical calorie, cal_th, is exactly 4.184 J. Named variant used: Thermochemical calorie (cal_th); not calorie_IT, mean calorie, temperature-specific calorie, or dietary Calorie (kilocalorie). Reference: National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.
The kJ-to-cal_th 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.
- kJ relationship: The decimal-prefix relationship is exact.
- cal_th relationship: The terminating base factor is exact for the thermochemical variant.
To audit the factor through the family base unit, divide the raw dataset factors 1000 by 4.184. The generator emits that quotient once at 15 significant digits as the canonical direct factor 239.005736137667; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 kilojoules, 10 × 239.005736137667 = 2390.05736137667 thermochemical calories. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one kilojoule contains 239.005736137667 thermochemical calories, 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 kJ | 1 × 239.005736137667 |
239.005736137667 cal_th |
| 10 kJ | 10 × 239.005736137667 |
2390.05736137667 cal_th |
| 100 kJ | 100 × 239.005736137667 |
23900.5736137667 cal_th |
| 1000 kJ | 1000 × 239.005736137667 |
239005.736137667 cal_th |
Interpretation
Read the result as thermochemical calories, not kilojoules. A value entered as kJ leaves the calculator labelled cal_th; 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 work or heat require a separate model.
- 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.
- This converter treats energy as a non-negative scalar amount; it does not model signed work, heat-transfer direction, efficiency, power, or time.
Common mistakes
- One kilojoule is 1000 joules, not one joule.
- A dietary Calorie with capital C normally means one kilocalorie, 1000 cal_th, not this small calorie.
Continue within the Energy family
See the Energy conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Thermochemical calories to Kilojoules
- Compare another energy route: Kilojoules to Joules
- Compare another energy route: Kilojoules to Kilowatt-hours
- Compare another energy route: Kilojoules to International Table British thermal units
- Compare another energy route: Thermochemical calories to Joules
Assumptions
- The entered value uses kilojoules exactly as labelled.
- Only non-negative energy amounts are accepted by this family; sign conventions for work or heat 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