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Kilojoules/kilogram kelvin to Calories (th)/gram/K Converter (kJ/(kg·K) to cal (th)/(g·K))

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Live Conversion • ISO 80000-5:2019 Certified
1 Kilojoule/kilogram kelvin = 0.239006 Calorie (th)/gram/K
1 kJ/(kg·K) = 0.239006 cal (th)/(g·K) • 1 cal (th)/(g·K) = 4.183995 kJ/(kg·K)
Kilojoule/kilogram kelvin to Calorie (th)/gram/K: One Kilojoule/kilogram kelvin is equal to 0.239006 Calories (th)/gram/K.
Certified Authority Value
0.23900600
cal (th)/(g·K)
Exact: 1 cal (th)/(g·K) ≡ 4.1839953809 kJ/(kg·K)
kJ/(kg·K)
kJ/(kg·K)
Swap to Calorie (th)/gram/K to Kilojoule/kilogram kelvin
Swap to Calorie (th)/gram/K to Kilojoule/kilogram kelvin
cal (th)/(g·K)
cal (th)/(g·K) 0.239006
Quick Values:
Conversion Formula
To convert Kilojoule/kilogram kelvin to Calorie (th)/gram/K, multiply by 0.239006
kJ/(kg·K) × 0.239006 = cal (th)/(g·K)

Calculation: 1 kJ/(kg·K) × 0.239006 = 0.239006 cal (th)/(g·K)

Common Kilojoule/kilogram kelvin to Calorie (th)/gram/K Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilojoule/kilogram kelvin (kJ/(kg·K)) and Calorie (th)/gram/K (cal (th)/(g·K)).

Tap any row to calculate
Kilojoule/kilogram kelvin to Calorie (th)/gram/K: Primary Direct Table (15 Steps)
Kilojoule/kilogram kelvin to Calorie (th)/gram/K Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 kJ/(kg·K) 0.000239006 cal (th)/(g·K) 2.39 × 10⁻⁴
0.01 kJ/(kg·K) 0.00239006 cal (th)/(g·K) 2.39 × 10⁻³
0.1 kJ/(kg·K) 0.0239006 cal (th)/(g·K) 2.39 × 10⁻²
0.5 kJ/(kg·K) 0.119503 cal (th)/(g·K) 1.195 × 10⁻¹
1 kJ/(kg·K) 0.239006 cal (th)/(g·K) 2.39 × 10⁻¹
2 kJ/(kg·K) 0.478012 cal (th)/(g·K) 4.78 × 10⁻¹
5 kJ/(kg·K) 1.19503 cal (th)/(g·K) 1.195 × 10⁰
10 kJ/(kg·K) 2.39006 cal (th)/(g·K) 2.39 × 10⁰
20 kJ/(kg·K) 4.78012 cal (th)/(g·K) 4.78 × 10⁰
25 kJ/(kg·K) 5.97515 cal (th)/(g·K) 5.975 × 10⁰
50 kJ/(kg·K) 11.9503 cal (th)/(g·K) 1.195 × 10¹
100 kJ/(kg·K) 23.9006 cal (th)/(g·K) 2.39 × 10¹
250 kJ/(kg·K) 59.7515 cal (th)/(g·K) 5.975 × 10¹
500 kJ/(kg·K) 119.503 cal (th)/(g·K) 1.195 × 10²
1000 kJ/(kg·K) 239.006 cal (th)/(g·K) 2.39 × 10²
Calorie (th)/gram/K to Kilojoule/kilogram kelvin: Reciprocal Summary
Calorie (th)/gram/K to Kilojoule/kilogram kelvin Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal (th)/(g·K) 4.183995 kJ/(kg·K) 4.184 × 10⁰
5 cal (th)/(g·K) 20.919977 kJ/(kg·K) 2.092 × 10¹
10 cal (th)/(g·K) 41.839954 kJ/(kg·K) 4.184 × 10¹
50 cal (th)/(g·K) 209.199769 kJ/(kg·K) 2.092 × 10²
100 cal (th)/(g·K) 418.399538 kJ/(kg·K) 4.184 × 10²
View Complete 15-Row Calorie (th)/gram/K to Kilojoule/kilogram kelvin Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Kilojoule/kilogram kelvin (kJ/(kg·K)) and Calorie (th)/gram/K (cal (th)/(g·K)):

Kilojoule/kilogram kelvin References:

  • Liquid water specific heat capacity in thermal engineering 4.184 kJ/(kg·K)
  • Dry steam water vapor at 100 degrees Celsius and 1 atm 2.08 kJ/(kg·K)

Calorie (th)/gram/K References:

  • Thermochemical calorie water baseline on Kelvin scale 1 cal (th)/(g·K)

Tap any benchmark above to automatically calculate its exact equivalent in Calorie (th)/gram/K.

ISQ Dimension: [L² T⁻² Θ⁻¹] Coherent SI Unit: joule per kilogram kelvin (J/(kg·K)) Thermodynamics & Heat Transfer

How to Convert Kilojoule/kilogram kelvin to Calorie (th)/gram/K

Converting Kilojoule/kilogram kelvin (kJ/(kg·K)) to Calorie (th)/gram/K (cal (th)/(g·K)) is a core calculation in Specific Heat Capacity, which measures the thermal energy required to raise the temperature of a unit mass of substance by one degree. Because Calorie (th)/gram/K is a broader physical scale than Kilojoule/kilogram kelvin, converting from kJ/(kg·K) to cal (th)/(g·K) condenses the numerical figure. It takes 4.183995 Kilojoule/kilogram kelvin to equal a single Calorie (th)/gram/K (1 kJ/(kg·K) = 0.239006 cal (th)/(g·K)). To convert any quantity, multiply by 0.239006 (or divide by 4.183995).

Direct Factor1 kJ/(kg·K) = 0.239006 cal (th)/(g·K)
Inverse Ratio1 cal (th)/(g·K) = 4.183995 kJ/(kg·K)
Conversion ScaleDirect Proportional Magnitude Compression
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (joule per kilogram kelvin (J/(kg·K))) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 kJ/(kg·K) = 1000 joule per kilogram kelvin (J/(kg·K))
2. Target SI Bridge (ktarget):1 cal (th)/(g·K) = 4183.995381 joule per kilogram kelvin (J/(kg·K))
Step-by-step substitution for Kilojoule/kilogram kelvin → Calorie (th)/gram/K:V(cal (th)/(g·K)) = V(kJ/(kg·K)) × ( 1000 / 4183.995381 ) = V(kJ/(kg·K)) × 0.239006
Mathematical FormulaValue in Calorie (th)/gram/K = Value in Kilojoule/kilogram kelvin × 0.239006Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 50 Kilojoule/kilogram kelvin (kJ/(kg·K)) produces 11.9503 Calorie (th)/gram/K (cal (th)/(g·K)). In heavy-duty utility and industrial workloads, 5000 kJ/(kg·K) equals 1195.03 cal (th)/(g·K).

Inverse check: 1 cal (th)/(g·K) = 4.183995 kJ/(kg·K).

Understanding Kilojoule/kilogram kelvin and Calorie (th)/gram/K

Kilojoule/kilogram kelvin

kJ/(kg·K)
SI Multiple

A Kilojoule/kilogram kelvin (kJ/(kg·K)) is a decimal multiple of the SI-derived unit for specific heat capacity.

Applications & Practical Context

In practical specific heat capacity terms, a liquid water specific heat capacity in thermal engineering equals 4.184 kJ/(kg·K), a dry steam water vapor at 100 degrees Celsius and 1 atm equals 2.08 kJ/(kg·K).

Physical Setup

A physical magnitude of 1 kJ/(kg·K) corresponds to 1000 J/(kg·K) in standard SI measurement.

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 kJ/(kg·K) = 1000 J/(kg·K)

Calorie (th)/gram/K

cal (th)/(g·K)
Standard Unit

A Calorie (th)/gram/K (cal (th)/(g·K)) is a recognized unit for specific heat capacity.

Applications & Practical Context

In practical specific heat capacity terms, a thermochemical calorie water baseline on Kelvin scale equals 1 cal (th)/(g·K).

Physical Setup

A physical magnitude of 1 cal (th)/(g·K) corresponds to 4183.995381 J/(kg·K) in standard SI measurement.

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 cal (th)/(g·K) = 4183.995381 J/(kg·K)

Domain Metrology & Engineering Applications

Governing Law & Equation

Specific Enthalpy Derivative (c_p = (∂h/∂T)_p)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using differential scanning calorimeters (DSC), adiabatic drop calorimeters, and dual-furnace calorimeter systems.

Primary Industry Sectors

Applied across battery thermal runaway mitigation (EV cell modeling), chemical synthesis reactor safety, molten salt solar storage, and cryogenic coolant engineering under international metrology standard ISO 80000-5:2019, NIST Chemistry WebBook.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, NIST Chemistry WebBook and the BIPM SI Brochure (9th Edition). Governed by Specific Enthalpy Derivative (c_p = (∂h/∂T)_p) under ISO 80000 dimensional vector [L² T⁻² Θ⁻¹].

Multi-Variable Engineering Bridge Thermodynamics & Heat Storage

Specific Heat Capacity to Thermal Energy Storage Bridge (Joules • Kilojoules • Megajoules • kWh • BTU)

Calculate total sensible thermal storage energy Q = c_p × (m × ΔT) for heating or cooling mass charges, bridging specific heat capacity [L² T⁻² Θ⁻¹] with stored thermal energy [M L² T⁻²].

Q = c_p × (m × ΔT)
Vector: [J/(kg·K)] × [kg·K] → [J]
Live Calculated Bridge Equivalent:
1 kJ/(kg·K) at 50 kg Domestic Water at 40K Swing (2,000 kg·K) = 2000000 J
Equals 2000 kJ • 2 MJ • 0.555556 kWh
SI Energy
2000000
J
Joules
Thermal Scale
2000
kJ
Kilojoules
Bulk Energy
2
MJ
Megajoules
Electric Utility Meter
0.555556
kWh
Kilowatt-Hours
Battery Capacity
555.5556
Wh
Watt-Hours
Imperial Thermal
1895.6342
BTU
British Thermal Units
  1. 1. Normalize Input to SI Base Unit (J/(kg·K)):
    c_p = 1 kJ/(kg·K) × 1000 = 1000 J/(kg·K)
  2. 2. Apply Engineering Parameter (mΔT):
    Selected condition: 50 kg Domestic Water at 40K Swing (2,000 kg·K) at mΔT = 2000 kg·K
  3. 3. Execute Governing Physical Law in SI Units:
    Q = c_p × (m × ΔT) = (1000 J/(kg·K)) × (2000 kg·K) = 2000000 J
  4. 4. Convert to Standard Engineering Units:
    • J: 2000000 × 1 = 2000000 J (Joules) • kJ: 2000000 × 0.001 = 2000 kJ (Kilojoules) • MJ: 2000000 × 1 × 10⁻⁶ = 2 MJ (Megajoules) • kWh: 2000000 × 2.7778 × 10⁻⁷ = 0.555556 kWh (Kilowatt-Hours) • Wh: 2000000 × 0.0002778 = 555.5556 Wh (Watt-Hours) • BTU: 2000000 × 0.0009478 = 1895.6342 BTU (British Thermal Units)
Explore Full Energy Converter →
Engineering Substance / Operating Standard Parameter Value (kg·K) Reference State / Condition Typical Industrial & Engineering Application
50 kg Domestic Water at 40K Swing (2,000 kg·K) 2000 m = 50 kg, ΔT = 40 K 50-liter domestic hot water tank charge
1,000 kg Hydronic Buffer at 20K Swing (20,000 kg·K) 20000 m = 1,000 kg, ΔT = 20 K Commercial heat pump thermal buffer storage
200 kg Engine Block at 70K Swing (14,000 kg·K) 14000 m = 200 kg, ΔT = 70 K Cast iron engine warm-up heat soak
10,000 kg Process Fluid at 50K Swing (500,000 kg·K) 500000 m = 10,000 kg, ΔT = 50 K Industrial batch chemical reactor heat load
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Frequently Asked Questions

There are exactly 0.239006 calories (th)/gram/k (cal (th)/(g·K)) in 1 kilojoule/kilogram kelvin (kJ/(kg·K)). To calculate larger amounts manually, simply multiply your total number of kilojoules/kilogram kelvin by the conversion multiplier of 0.239006.

The mathematical formula to convert kilojoules/kilogram kelvin to calories (th)/gram/k is: [value] * 0.239006 = calories (th)/gram/k. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from calories (th)/gram/k back to kilojoules/kilogram kelvin, you must divide your starting value by 0.239006. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (th)/gram/k input field.

1 Calorie (th)/gram/K is larger than 1 Kilojoule/kilogram kelvin. Specifically, 1 Kilojoule/kilogram kelvin equals 0.239006 calories (th)/gram/k, meaning 1 Calorie (th)/gram/K is 4.184 times larger than 1 Kilojoule/kilogram kelvin (a difference of 0.62 orders of magnitude). Expressing measurements in kilojoules/kilogram kelvin requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Kilojoule/kilogram kelvin converts to 0.239006 calories (th)/gram/k. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.