Convert Calories per Gram-Celsius to Kilojoules per Kilogram-Kelvin
Instantly convert Calories per Gram-Celsius (cal/(g·°C)) to Kilojoules per Kilogram-Kelvin (kJ/(kg·K)) with our free online calculator.
Formula: cal/(g·°C) to kJ/(kg·K) — multiply by 4.184
Reference Table
| Calories per Gram-Celsius (cal/(g·°C)) | Kilojoules per Kilogram-Kelvin (kJ/(kg·K)) |
|---|---|
| 1 | 4.184 |
| 5 | 20.92 |
| 10 | 41.84 |
| 25 | 104.6 |
| 50 | 209.2 |
| 100 | 418.4 |
How to Convert Calories per Gram-Celsius to Kilojoules per Kilogram-Kelvin
Formula
To convert Calories per Gram-Celsius (cal/(g·°C)) to Kilojoules per Kilogram-Kelvin (kJ/(kg·K)): multiply by 4.184
Step-by-Step
- Start with your value in Calories per Gram-Celsius (cal/(g·°C)).
- Multiply by 4.184 to perform the conversion.
- The result is your value expressed in Kilojoules per Kilogram-Kelvin (kJ/(kg·K)).
Conversion Factor
1 cal/(g·°C) = 4.184 kJ/(kg·K)
Reverse Factor
1 kJ/(kg·K) = 0.239006 cal/(g·°C)
Worked Example
Convert 25 Calories per Gram-Celsius to Kilojoules per Kilogram-Kelvin: 25 cal/(g·°C) = 104.6 kJ/(kg·K)
About Calorie per Gram-Celsius (cal/(g·°C))
A CGS-system specific-heat unit historically central to chemistry, food science, and biochemistry. By the original 1824 definition of the calorie (the energy needed to raise 1 g of water by 1 °C at 14.5-15.5 °C), water has a specific heat of exactly 1.000 cal/(g·°C) — the basis on which both the unit and the water-specific-heat property coevolved. Numerically identical to kcal/(kg·°C) since both ratios scale the same way. Used heavily in: pre-1990s chemistry textbooks (Atkins, McMurry, Solomons), nutrition-science papers, calorimetry-experiment education (Differential Scanning Calorimetry DSC instruments per ASTM E1269 still produce data convertible to cal/(g·°C) units for legacy comparison), pharmaceutical excipient characterization in older USP monographs, and food-energy / bomb-calorimetry research per AOAC Official Methods 968.06. Convert cal/(g·°C) to J/(kg·K) by multiplying by 4,184; to BTU/(lb·°F) by dividing by 1 (they're numerically identical since both calibrate to water = 1).
About Kilojoule per Kilogram-Kelvin (kJ/(kg·K))
A metric specific-heat unit equal to exactly 1,000 J/(kg·K). Because most common substances have specific heats in the 0.3-5 kJ/(kg·K) range, kJ/(kg·K) is the default working unit on every published thermodynamic property table (IAPWS-IF97 steam tables, NIST REFPROP refrigerant data, NASA CEA gas-property tables, Çengel-Boles 'Thermodynamics: An Engineering Approach' textbook, Moran-Shapiro 'Fundamentals of Engineering Thermodynamics'). Reference values: water at 25 °C is 4.186 kJ/(kg·K); structural steel ~0.49 kJ/(kg·K); aluminum 0.897 kJ/(kg·K); liquid nitrogen at saturation ~1.04 kJ/(kg·K); R-134a refrigerant vapour ~1.0 kJ/(kg·K) at saturation; R-1234yf (low-GWP automotive refrigerant) ~0.95 kJ/(kg·K). For ideal-gas calculations: dry air cp = 1.005 kJ/(kg·K), cv = 0.718 kJ/(kg·K), with ratio γ = cp/cv = 1.4 used in compressible-flow analysis. Steam tables in Çengel-Boles default to kJ/(kg·K) for both cp and cv.
Quick Facts
- 1 Calorie per Gram-Celsius equals 4.184 Kilojoules per Kilogram-Kelvin
- 1 Kilojoule per Kilogram-Kelvin equals 0.239006 Calories per Gram-Celsius
- Calorie per Gram-Celsius is a unit of specific heat capacity
- Kilojoule per Kilogram-Kelvin is a unit of specific heat capacity
- This conversion is commonly used in thermal design, material selection, and climate modelling
- The Calorie per Gram-Celsius belongs to the metric system
Common Calorie per Gram-Celsius to Kilojoule per Kilogram-Kelvin Conversions
| Calories per Gram-Celsius (cal/(g·°C)) | Kilojoules per Kilogram-Kelvin (kJ/(kg·K)) |
|---|---|
| 0.01 | 0.04184 |
| 0.1 | 0.4184 |
| 0.25 | 1.046 |
| 0.5 | 2.092 |
| 1 | 4.184 |
| 2 | 8.368 |
| 3 | 12.552 |
| 5 | 20.92 |
| 10 | 41.84 |
| 15 | 62.76 |
| 20 | 83.68 |
| 25 | 104.6 |
| 50 | 209.2 |
| 75 | 313.8 |
| 100 | 418.4 |
| 250 | 1046 |
| 500 | 2092 |
| 1000 | 4184 |
| 5000 | 20920 |
| 10000 | 41840 |
Understanding Calories per Gram-Celsius
The Calorie per Gram-Celsius (symbol: cal/(g·°C)) is a unit of specific heat capacity. A CGS-system specific-heat unit historically central to chemistry, food science, and biochemistry. By the original 1824 definition of the calorie (the energy needed to raise 1 g of water by 1 °C at 14.5-15.5 °C), water has a specific heat of exactly 1.000 cal/(g·°C) — the basis on which both the unit and the water-specific-heat property coevolved. Numerically identical to kcal/(kg·°C) since both ratios scale the same way. Used heavily in: pre-1990s chemistry textbooks (Atkins, McMurry, Solomons), nutrition-science papers, calorimetry-experiment education (Differential Scanning Calorimetry DSC instruments per ASTM E1269 still produce data convertible to cal/(g·°C) units for legacy comparison), pharmaceutical excipient characterization in older USP monographs, and food-energy / bomb-calorimetry research per AOAC Official Methods 968.06. Convert cal/(g·°C) to J/(kg·K) by multiplying by 4,184; to BTU/(lb·°F) by dividing by 1 (they're numerically identical since both calibrate to water = 1).
It belongs to the metric measurement system.
Calories per Gram-Celsius are commonly used in thermal design, material selection, and climate modelling.
Understanding Kilojoules per Kilogram-Kelvin
The Kilojoule per Kilogram-Kelvin (symbol: kJ/(kg·K)) is a unit of specific heat capacity. A metric specific-heat unit equal to exactly 1,000 J/(kg·K). Because most common substances have specific heats in the 0.3-5 kJ/(kg·K) range, kJ/(kg·K) is the default working unit on every published thermodynamic property table (IAPWS-IF97 steam tables, NIST REFPROP refrigerant data, NASA CEA gas-property tables, Çengel-Boles 'Thermodynamics: An Engineering Approach' textbook, Moran-Shapiro 'Fundamentals of Engineering Thermodynamics'). Reference values: water at 25 °C is 4.186 kJ/(kg·K); structural steel ~0.49 kJ/(kg·K); aluminum 0.897 kJ/(kg·K); liquid nitrogen at saturation ~1.04 kJ/(kg·K); R-134a refrigerant vapour ~1.0 kJ/(kg·K) at saturation; R-1234yf (low-GWP automotive refrigerant) ~0.95 kJ/(kg·K). For ideal-gas calculations: dry air cp = 1.005 kJ/(kg·K), cv = 0.718 kJ/(kg·K), with ratio γ = cp/cv = 1.4 used in compressible-flow analysis. Steam tables in Çengel-Boles default to kJ/(kg·K) for both cp and cv.
It belongs to the metric measurement system.
Kilojoules per Kilogram-Kelvin are commonly used in thermal design, material selection, and climate modelling.
Why Convert Calories per Gram-Celsius to Kilojoules per Kilogram-Kelvin?
Converting between Calories per Gram-Celsius and Kilojoules per Kilogram-Kelvin is a frequent requirement for engineers, scientists, and students working with specific heat capacity 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 specific heat capacity conversion is essential.
Frequently Asked Questions
How do I convert Calories per Gram-Celsius to Kilojoules per Kilogram-Kelvin?
A CGS-system specific-heat unit historically central to chemistry, food science, and biochemistry. To convert Calories per Gram-Celsius to Kilojoules per Kilogram-Kelvin, multiply by 4.184. For example, 25 cal/(g·°C) equals 104.6 kJ/(kg·K).
How many Kilojoules per Kilogram-Kelvin are in 1 Calorie per Gram-Celsius?
There are 4.184 Kilojoules per Kilogram-Kelvin in 1 Calorie per Gram-Celsius.
How many Calories per Gram-Celsius are in 1 Kilojoule per Kilogram-Kelvin?
There are 0.239006 Calories per Gram-Celsius in 1 Kilojoule per Kilogram-Kelvin.
What is the formula for Calorie per Gram-Celsius to Kilojoule per Kilogram-Kelvin conversion?
The formula is: multiply by 4.184. This means 1 cal/(g·°C) = 4.184 kJ/(kg·K).
Is a Calorie per Gram-Celsius bigger than a Kilojoule per Kilogram-Kelvin?
No. One Calorie per Gram-Celsius is smaller than one Kilojoule per Kilogram-Kelvin because 1 cal/(g·°C) equals 4.184 kJ/(kg·K), which is greater than 1.
When do you need to convert between Calories per Gram-Celsius and Kilojoules per Kilogram-Kelvin?
A metric specific-heat unit equal to exactly 1,000 J/(kg·K). Calorie per Gram-Celsius and Kilojoule per Kilogram-Kelvin are both specific heat 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.