Convert Calories per Kelvin to Kilojoules per Kelvin
Instantly convert Calories per Kelvin (cal/K) to Kilojoules per Kelvin (kJ/K) with our free online calculator.
Formula: cal/K to kJ/K — multiply by 0.004184
Reference Table
| Calories per Kelvin (cal/K) | Kilojoules per Kelvin (kJ/K) |
|---|---|
| 1 | 0.004184 |
| 5 | 0.02092 |
| 10 | 0.04184 |
| 25 | 0.1046 |
| 50 | 0.2092 |
| 100 | 0.4184 |
How to Convert Calories per Kelvin to Kilojoules per Kelvin
Formula
To convert Calories per Kelvin (cal/K) to Kilojoules per Kelvin (kJ/K): multiply by 0.004184
Step-by-Step
- Start with your value in Calories per Kelvin (cal/K).
- Multiply by 0.004184 to perform the conversion.
- The result is your value expressed in Kilojoules per Kelvin (kJ/K).
Conversion Factor
1 cal/K = 0.004184 kJ/K
Reverse Factor
1 kJ/K = 239.006 cal/K
Worked Example
Convert 25 Calories per Kelvin to Kilojoules per Kelvin: 25 cal/K = 0.1046 kJ/K
About Calorie per Kelvin (cal/K)
A CGS entropy unit equal to exactly 4.184 J/K (using the thermochemical calorie definition per NIST SP 811). cal/K is a legacy unit that persists in older chemistry and biochemistry literature, with the equivalent molar form cal/(K·mol) (often abbreviated 'e.u.' for 'entropy unit' in older textbooks) appearing routinely in: classical physical-chemistry references pre-1980 (Lewis-Randall, Pitzer-Brewer thermodynamics texts), biochemistry literature on protein-folding entropy (typical ΔS_folding ranges from -50 to +50 cal/(K·mol) per residue), enzymology free-energy diagrams (Eyring-transition-state analysis), and pharmaceutical drug-binding thermodynamics (isothermal titration calorimetry / ITC papers in J. Mol. Biol., Biochemistry, Protein Sci. through the 1990s). The bond-dissociation entropy of H₂(g) → 2H(g) at 298 K is ΔS° = +24.4 cal/(K·mol). Modern publications increasingly use SI J/K, but cal/K appears in cross-references to older databases (NIST WebBook still dual-lists), in NMR-relaxation thermodynamic-cycle interpretation, and in physical-organic-chemistry literature where Arrhenius pre-exponential factors are quoted with entropy in cal-units.
About Kilojoule per Kelvin (kJ/K)
A metric entropy unit equal to exactly 1,000 J/K. kJ/K is the practical working unit for industrial/plant-scale thermodynamic analysis where total entropy flows are large enough that J/K becomes unwieldy: steam-power-plant Rankine-cycle second-law (exergy) evaluations per ASME PTC 4 / VDI 4655 / IEC 60953 standards, large refrigeration-cycle COP optimization (Carnot-to-actual entropy generation comparisons for chillers > 1 MW cooling capacity), industrial combustion entropy balances (cement-kiln Cl-Pre-Calciner systems, glass-furnace regenerators, blast-furnace iron-reduction processes), and gas-turbine combined-cycle (CCGT) plant heat-balance diagrams per IEC 60534. A typical 600 MW supercritical coal-fired power station rejects entropy at ~3,000 kJ/(K·s) to its cooling tower; nuclear PWR steam-generator secondary-side entropy generation ~5,000 kJ/(K·s); industrial-scale ammonia-synthesis (Haber-Bosch) reactor entropy generation ~50 kJ/(K·s). The kJ/K unit is dominant in EBSILON Professional, Aspen Plus, GateCycle, and Thermoflex cycle-simulation software output reports.
Quick Facts
- 1 Calorie per Kelvin equals 0.004184 Kilojoules per Kelvin
- 1 Kilojoule per Kelvin equals 239.006 Calories per Kelvin
- Calorie per Kelvin is a unit of entropy
- Kilojoule per Kelvin is a unit of entropy
- This conversion is commonly used in thermodynamics, refrigeration cycles, and chemical engineering
- The Calorie per Kelvin belongs to the metric system
Common Calorie per Kelvin to Kilojoule per Kelvin Conversions
| Calories per Kelvin (cal/K) | Kilojoules per Kelvin (kJ/K) |
|---|---|
| 0.01 | 0.00004184 |
| 0.1 | 0.0004184 |
| 0.25 | 0.001046 |
| 0.5 | 0.002092 |
| 1 | 0.004184 |
| 2 | 0.008368 |
| 3 | 0.012552 |
| 5 | 0.02092 |
| 10 | 0.04184 |
| 15 | 0.06276 |
| 20 | 0.08368 |
| 25 | 0.1046 |
| 50 | 0.2092 |
| 75 | 0.3138 |
| 100 | 0.4184 |
| 250 | 1.046 |
| 500 | 2.092 |
| 1000 | 4.184 |
| 5000 | 20.92 |
| 10000 | 41.84 |
Understanding Calories per Kelvin
The Calorie per Kelvin (symbol: cal/K) is a unit of entropy. A CGS entropy unit equal to exactly 4.184 J/K (using the thermochemical calorie definition per NIST SP 811). cal/K is a legacy unit that persists in older chemistry and biochemistry literature, with the equivalent molar form cal/(K·mol) (often abbreviated 'e.u.' for 'entropy unit' in older textbooks) appearing routinely in: classical physical-chemistry references pre-1980 (Lewis-Randall, Pitzer-Brewer thermodynamics texts), biochemistry literature on protein-folding entropy (typical ΔS_folding ranges from -50 to +50 cal/(K·mol) per residue), enzymology free-energy diagrams (Eyring-transition-state analysis), and pharmaceutical drug-binding thermodynamics (isothermal titration calorimetry / ITC papers in J. Mol. Biol., Biochemistry, Protein Sci. through the 1990s). The bond-dissociation entropy of H₂(g) → 2H(g) at 298 K is ΔS° = +24.4 cal/(K·mol). Modern publications increasingly use SI J/K, but cal/K appears in cross-references to older databases (NIST WebBook still dual-lists), in NMR-relaxation thermodynamic-cycle interpretation, and in physical-organic-chemistry literature where Arrhenius pre-exponential factors are quoted with entropy in cal-units.
It belongs to the metric measurement system.
Calories per Kelvin are commonly used in thermodynamics, refrigeration cycles, and chemical engineering.
Understanding Kilojoules per Kelvin
The Kilojoule per Kelvin (symbol: kJ/K) is a unit of entropy. A metric entropy unit equal to exactly 1,000 J/K. kJ/K is the practical working unit for industrial/plant-scale thermodynamic analysis where total entropy flows are large enough that J/K becomes unwieldy: steam-power-plant Rankine-cycle second-law (exergy) evaluations per ASME PTC 4 / VDI 4655 / IEC 60953 standards, large refrigeration-cycle COP optimization (Carnot-to-actual entropy generation comparisons for chillers > 1 MW cooling capacity), industrial combustion entropy balances (cement-kiln Cl-Pre-Calciner systems, glass-furnace regenerators, blast-furnace iron-reduction processes), and gas-turbine combined-cycle (CCGT) plant heat-balance diagrams per IEC 60534. A typical 600 MW supercritical coal-fired power station rejects entropy at ~3,000 kJ/(K·s) to its cooling tower; nuclear PWR steam-generator secondary-side entropy generation ~5,000 kJ/(K·s); industrial-scale ammonia-synthesis (Haber-Bosch) reactor entropy generation ~50 kJ/(K·s). The kJ/K unit is dominant in EBSILON Professional, Aspen Plus, GateCycle, and Thermoflex cycle-simulation software output reports.
It belongs to the metric measurement system.
Kilojoules per Kelvin are commonly used in thermodynamics, refrigeration cycles, and chemical engineering.
Why Convert Calories per Kelvin to Kilojoules per Kelvin?
Converting between Calories per Kelvin and Kilojoules per Kelvin is a frequent requirement for engineers, scientists, and students working with entropy values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate entropy conversion is essential.
Frequently Asked Questions
How do I convert Calories per Kelvin to Kilojoules per Kelvin?
A CGS entropy unit equal to exactly 4. To convert Calories per Kelvin to Kilojoules per Kelvin, multiply by 0.004184. For example, 25 cal/K equals 0.1046 kJ/K.
How many Kilojoules per Kelvin are in 1 Calorie per Kelvin?
There are 0.004184 Kilojoules per Kelvin in 1 Calorie per Kelvin.
How many Calories per Kelvin are in 1 Kilojoule per Kelvin?
There are 239.006 Calories per Kelvin in 1 Kilojoule per Kelvin.
What is the formula for Calorie per Kelvin to Kilojoule per Kelvin conversion?
The formula is: multiply by 0.004184. This means 1 cal/K = 0.004184 kJ/K.
Is a Calorie per Kelvin bigger than a Kilojoule per Kelvin?
Yes. One Calorie per Kelvin is larger than one Kilojoule per Kelvin because 1 cal/K equals 0.004184 kJ/K, which is less than 1.
When do you need to convert between Calories per Kelvin and Kilojoules per Kelvin?
A metric entropy unit equal to exactly 1,000 J/K. Calorie per Kelvin and Kilojoule per Kelvin are both entropy units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.