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Convert Joules per Kilogram-Kelvin to Calories per Gram-Celsius

Instantly convert Joules per Kilogram-Kelvin (J/(kg·K)) to Calories per Gram-Celsius (cal/(g·°C)) with our free online calculator.

Reviewed by Christopher FloiedUpdated

Formula: J/(kg·K) to cal/(g·°C)multiply by 2.3901e-4

Reference Table

Joules per Kilogram-Kelvin (J/(kg·K))Calories per Gram-Celsius (cal/(g·°C))
10.000239006
50.00119503
100.00239006
250.00597514
500.0119503
1000.0239006

How to Convert Joules per Kilogram-Kelvin to Calories per Gram-Celsius

Formula

To convert Joules per Kilogram-Kelvin (J/(kg·K)) to Calories per Gram-Celsius (cal/(g·°C)): multiply by 2.3901e-4

Step-by-Step

  1. Start with your value in Joules per Kilogram-Kelvin (J/(kg·K)).
  2. Multiply by 2.3901e-4 to perform the conversion.
  3. The result is your value expressed in Calories per Gram-Celsius (cal/(g·°C)).

Conversion Factor

1 J/(kg·K) = 0.000239006 cal/(g·°C)

Reverse Factor

1 cal/(g·°C) = 4184 J/(kg·K)

Worked Example

Convert 25 Joules per Kilogram-Kelvin to Calories per Gram-Celsius: 25 J/(kg·K) = 0.00597514 cal/(g·°C)

About Joule per Kilogram-Kelvin (J/(kg·K))

The SI unit of specific entropy (entropy per unit mass) per ISO 80000-5 §5-19.1 — used in steady-flow thermodynamics where the relevant entropy quantity is normalized to the mass flow rate through a control volume (nozzles, turbines, compressors, heat exchangers). J/(kg·K) is the universal output unit for computational thermodynamics libraries: CoolProp (open-source Helmholtz-energy-based property library), NIST REFPROP (the gold-standard reference fluid property database), IAPWS-IF97 industrial-formulation steam tables, and commercial process simulators (Aspen Plus, ChemCAD, HYSYS, ProMax). Dimensionally identical to specific heat capacity c_p in J/(kg·K), but physically distinct — entropy is a state function representing energy spreading, while c_p is a heat-flow response coefficient. Reference values per IAPWS-IF97: liquid water at 25°C has s ≈ 367 J/(kg·K); steam at 200°C and 1 bar has s ≈ 7,834 J/(kg·K); R-134a saturated vapor at 25°C has s ≈ 1,718 J/(kg·K); dry air at 25°C and 1 bar has s ≈ 6,876 J/(kg·K) (relative to reference state). Used universally in CFD strong-form energy-equation post-processing (ANSYS Fluent, OpenFOAM, STAR-CCM+).

About Calorie per Gram-Celsius (cal/(g·°C))

A CGS specific-entropy unit numerically identical to kcal/(kg·°C) and equal to 4,184 J/(kg·K) (using the thermochemical calorie). cal/(g·°C) appears in older chemistry literature for solution-calorimetry data (heats of dissolution, mixing, dilution), biological thermodynamics where the energy-scale is naturally small (protein unfolding ΔS ≈ 0.5 cal/(g·°C); ligand-receptor binding entropy in isothermal titration calorimetry; lipid-bilayer phase transitions), legacy food-science publications (specific heats of water = 1.000 cal/(g·°C) by historical definition), and pharmaceutical-formulation papers measuring excipient thermal properties via differential scanning calorimetry (DSC). The unit's persistence is due to the historical definition of the calorie as exactly the heat required to raise 1 g of water by 1 °C between 14.5°C and 15.5°C (giving water's specific heat the convenient value of 1.000 in this unit system). Mostly superseded by SI J/(kg·K) or kJ/(kg·K) in modern publications, but cal/(g·°C) still appears in NIST WebBook cross-references, in older Russian and German thermochemistry compilations (Landolt-Börnstein), and in TA Instruments and PerkinElmer DSC software output options.

Quick Facts

  • 1 Joule per Kilogram-Kelvin equals 0.000239006 Calories per Gram-Celsius
  • 1 Calorie per Gram-Celsius equals 4184 Joules per Kilogram-Kelvin
  • Joule per Kilogram-Kelvin is a unit of specific entropy
  • Calorie per Gram-Celsius is a unit of specific entropy
  • This conversion is commonly used in turbine design, refrigeration analysis, and power plant engineering
  • The Joule per Kilogram-Kelvin belongs to the metric system

Common Joule per Kilogram-Kelvin to Calorie per Gram-Celsius Conversions

Joules per Kilogram-Kelvin (J/(kg·K))Calories per Gram-Celsius (cal/(g·°C))
0.010.00000239006
0.10.0000239006
0.250.0000597514
0.50.000119503
10.000239006
20.000478011
30.000717017
50.00119503
100.00239006
150.00358509
200.00478011
250.00597514
500.0119503
750.0179254
1000.0239006
2500.0597514
5000.119503
10000.239006
50001.19503
100002.39006

Understanding Joules per Kilogram-Kelvin

The Joule per Kilogram-Kelvin (symbol: J/(kg·K)) is a unit of specific entropy. The SI unit of specific entropy (entropy per unit mass) per ISO 80000-5 §5-19.1 — used in steady-flow thermodynamics where the relevant entropy quantity is normalized to the mass flow rate through a control volume (nozzles, turbines, compressors, heat exchangers). J/(kg·K) is the universal output unit for computational thermodynamics libraries: CoolProp (open-source Helmholtz-energy-based property library), NIST REFPROP (the gold-standard reference fluid property database), IAPWS-IF97 industrial-formulation steam tables, and commercial process simulators (Aspen Plus, ChemCAD, HYSYS, ProMax). Dimensionally identical to specific heat capacity c_p in J/(kg·K), but physically distinct — entropy is a state function representing energy spreading, while c_p is a heat-flow response coefficient. Reference values per IAPWS-IF97: liquid water at 25°C has s ≈ 367 J/(kg·K); steam at 200°C and 1 bar has s ≈ 7,834 J/(kg·K); R-134a saturated vapor at 25°C has s ≈ 1,718 J/(kg·K); dry air at 25°C and 1 bar has s ≈ 6,876 J/(kg·K) (relative to reference state). Used universally in CFD strong-form energy-equation post-processing (ANSYS Fluent, OpenFOAM, STAR-CCM+).

It belongs to the metric measurement system.

Joules per Kilogram-Kelvin are commonly used in turbine design, refrigeration analysis, and power plant engineering.

Understanding Calories per Gram-Celsius

The Calorie per Gram-Celsius (symbol: cal/(g·°C)) is a unit of specific entropy. A CGS specific-entropy unit numerically identical to kcal/(kg·°C) and equal to 4,184 J/(kg·K) (using the thermochemical calorie). cal/(g·°C) appears in older chemistry literature for solution-calorimetry data (heats of dissolution, mixing, dilution), biological thermodynamics where the energy-scale is naturally small (protein unfolding ΔS ≈ 0.5 cal/(g·°C); ligand-receptor binding entropy in isothermal titration calorimetry; lipid-bilayer phase transitions), legacy food-science publications (specific heats of water = 1.000 cal/(g·°C) by historical definition), and pharmaceutical-formulation papers measuring excipient thermal properties via differential scanning calorimetry (DSC). The unit's persistence is due to the historical definition of the calorie as exactly the heat required to raise 1 g of water by 1 °C between 14.5°C and 15.5°C (giving water's specific heat the convenient value of 1.000 in this unit system). Mostly superseded by SI J/(kg·K) or kJ/(kg·K) in modern publications, but cal/(g·°C) still appears in NIST WebBook cross-references, in older Russian and German thermochemistry compilations (Landolt-Börnstein), and in TA Instruments and PerkinElmer DSC software output options.

It belongs to the metric measurement system.

Calories per Gram-Celsius are commonly used in turbine design, refrigeration analysis, and power plant engineering.

Why Convert Joules per Kilogram-Kelvin to Calories per Gram-Celsius?

Converting between Joules per Kilogram-Kelvin and Calories per Gram-Celsius is a frequent requirement for engineers, scientists, and students working with specific 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 specific entropy conversion is essential.

Frequently Asked Questions

How do I convert Joules per Kilogram-Kelvin to Calories per Gram-Celsius?

The SI unit of specific entropy (entropy per unit mass) per ISO 80000-5 §5-19. To convert Joules per Kilogram-Kelvin to Calories per Gram-Celsius, multiply by 2.3901e-4. For example, 25 J/(kg·K) equals 0.00597514 cal/(g·°C).

How many Calories per Gram-Celsius are in 1 Joule per Kilogram-Kelvin?

There are 0.000239006 Calories per Gram-Celsius in 1 Joule per Kilogram-Kelvin.

How many Joules per Kilogram-Kelvin are in 1 Calorie per Gram-Celsius?

There are 4184 Joules per Kilogram-Kelvin in 1 Calorie per Gram-Celsius.

What is the formula for Joule per Kilogram-Kelvin to Calorie per Gram-Celsius conversion?

The formula is: multiply by 2.3901e-4. This means 1 J/(kg·K) = 0.000239006 cal/(g·°C).

Is a Joule per Kilogram-Kelvin bigger than a Calorie per Gram-Celsius?

Yes. One Joule per Kilogram-Kelvin is larger than one Calorie per Gram-Celsius because 1 J/(kg·K) equals 0.000239006 cal/(g·°C), which is less than 1.

When do you need to convert between Joules per Kilogram-Kelvin and Calories per Gram-Celsius?

A CGS specific-entropy unit numerically identical to kcal/(kg·°C) and equal to 4,184 J/(kg·K) (using the thermochemical calorie). Joule per Kilogram-Kelvin and Calorie per Gram-Celsius are both specific 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.

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