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

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/gram/°C = 4.184 Kilojoule/kilogram/K
1 cal (th)/(g·°C) = 4.184 kJ/(kg·K) • 1 kJ/(kg·K) = 0.239006 cal (th)/(g·°C)
Calorie (th)/gram/°C to Kilojoule/kilogram/K: One Calorie (th)/gram/°C is equal to 4.184 Kilojoules/kilogram/K.
Certified Authority Value
4.18400000
kJ/(kg·K)
Exact: 1 kJ/(kg·K) ≡ 0.2390057361 cal (th)/(g·°C)
cal (th)/(g·°C)
cal (th)/(g·°C)
Swap to Kilojoule/kilogram/K to Calorie (th)/gram/°C
Swap to Kilojoule/kilogram/K to Calorie (th)/gram/°C
kJ/(kg·K)
kJ/(kg·K) 4.184
Quick Values:
Conversion Formula
To convert Calorie (th)/gram/°C to Kilojoule/kilogram/K, multiply by 4.184
cal (th)/(g·°C) × 4.184 = kJ/(kg·K)

Calculation: 1 cal (th)/(g·°C) × 4.184 = 4.184 kJ/(kg·K)

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

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

Tap any row to calculate
Calorie (th)/gram/°C to Kilojoule/kilogram/K: Primary Direct Table (15 Steps)
Calorie (th)/gram/°C to Kilojoule/kilogram/K Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(g·°C) 0.004184 kJ/(kg·K) 4.184 × 10⁻³
0.01 cal (th)/(g·°C) 0.04184 kJ/(kg·K) 4.184 × 10⁻²
0.1 cal (th)/(g·°C) 0.4184 kJ/(kg·K) 4.184 × 10⁻¹
0.5 cal (th)/(g·°C) 2.092 kJ/(kg·K) 2.092 × 10⁰
1 cal (th)/(g·°C) 4.184 kJ/(kg·K) 4.184 × 10⁰
2 cal (th)/(g·°C) 8.368 kJ/(kg·K) 8.368 × 10⁰
5 cal (th)/(g·°C) 20.92 kJ/(kg·K) 2.092 × 10¹
10 cal (th)/(g·°C) 41.84 kJ/(kg·K) 4.184 × 10¹
20 cal (th)/(g·°C) 83.68 kJ/(kg·K) 8.368 × 10¹
25 cal (th)/(g·°C) 104.6 kJ/(kg·K) 1.046 × 10²
50 cal (th)/(g·°C) 209.2 kJ/(kg·K) 2.092 × 10²
100 cal (th)/(g·°C) 418.4 kJ/(kg·K) 4.184 × 10²
250 cal (th)/(g·°C) 1046 kJ/(kg·K) 1.046 × 10³
500 cal (th)/(g·°C) 2092 kJ/(kg·K) 2.092 × 10³
1000 cal (th)/(g·°C) 4184 kJ/(kg·K) 4.184 × 10³
Kilojoule/kilogram/K to Calorie (th)/gram/°C: Reciprocal Summary
Kilojoule/kilogram/K to Calorie (th)/gram/°C Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 kJ/(kg·K) 0.239006 cal (th)/(g·°C) 2.39 × 10⁻¹
5 kJ/(kg·K) 1.195029 cal (th)/(g·°C) 1.195 × 10⁰
10 kJ/(kg·K) 2.390057 cal (th)/(g·°C) 2.39 × 10⁰
50 kJ/(kg·K) 11.950287 cal (th)/(g·°C) 1.195 × 10¹
100 kJ/(kg·K) 23.900574 cal (th)/(g·°C) 2.39 × 10¹
View Complete 15-Row Kilojoule/kilogram/K to Calorie (th)/gram/°C 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 Calorie (th)/gram/°C (cal (th)/(g·°C)) and Kilojoule/kilogram/K (kJ/(kg·K)):

Calorie (th)/gram/°C References:

  • Pure liquid water standard specific heat capacity at 25°C 1 cal (th)/(g·°C)
  • Dry atmospheric air specific heat at constant pressure cp 0.240201 cal (th)/(g·°C)
  • Solid structural aluminum metal specific heat capacity 0.214388 cal (th)/(g·°C)
  • Pure electrical copper metal specific heat capacity 0.092017 cal (th)/(g·°C)

Kilojoule/kilogram/K References:

  • Pure liquid water standard specific heat capacity at 25°C 4.184 kJ/(kg·K)
  • Dry atmospheric air specific heat at constant pressure cp 1.005 kJ/(kg·K)
  • Solid structural aluminum metal specific heat capacity 0.897 kJ/(kg·K)
  • Pure electrical copper metal specific heat capacity 0.385 kJ/(kg·K)

Tap any benchmark above to automatically calculate its exact equivalent in Kilojoule/kilogram/K.

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

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

Converting Calorie (th)/gram/°C (cal (th)/(g·°C)) to Kilojoule/kilogram/K (kJ/(kg·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/°C represents a larger magnitude than Kilojoule/kilogram/K, converting from cal (th)/(g·°C) to kJ/(kg·K) expands the numerical figure. Exactly 1 Calorie (th)/gram/°C encompasses 4.184 Kilojoule/kilogram/K. To convert any quantity, multiply the value in Calorie (th)/gram/°C by 4.184.

Direct Factor1 cal (th)/(g·°C) = 4.184 kJ/(kg·K)
Inverse Ratio1 kJ/(kg·K) = 0.239006 cal (th)/(g·°C)
Conversion ScaleDirect Proportional Magnitude Expansion
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 cal (th)/(g·°C) = 4184 joule per kilogram kelvin (J/(kg·K))
2. Target SI Bridge (ktarget):1 kJ/(kg·K) = 1000 joule per kilogram kelvin (J/(kg·K))
Step-by-step substitution for Calorie (th)/gram/°C → Kilojoule/kilogram/K:V(kJ/(kg·K)) = V(cal (th)/(g·°C)) × ( 4184 / 1000 ) = V(cal (th)/(g·°C)) × 4.184
Mathematical FormulaValue in Kilojoule/kilogram/K = Value in Calorie (th)/gram/°C × 4.184Direct computational formula applied for standard conversion.
Worked Example

To convert 12 Calorie (th)/gram/°C (cal (th)/(g·°C)) to Kilojoule/kilogram/K (kJ/(kg·K)): multiply 12 by 4.184 to get 50.208 kJ/(kg·K). At an industrial engineering scale, 240 cal (th)/(g·°C) converts to 1004.16 kJ/(kg·K).

Inverse check: 1 kJ/(kg·K) = 0.239006 cal (th)/(g·°C).

Understanding Calorie (th)/gram/°C and Kilojoule/kilogram/K

Calorie (th)/gram/°C

cal (th)/(g·°C)
Standard Unit

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

Applications & Practical Context

In practical specific heat capacity terms, a pure liquid water standard specific heat capacity at 25°C equals 1 cal (th)/(g·°C), a dry atmospheric air specific heat at constant pressure cp equals 0.240201 cal (th)/(g·°C), a solid structural aluminum metal specific heat capacity equals 0.214388 cal (th)/(g·°C).

Physical Setup

A physical magnitude of 1 cal (th)/(g·°C) corresponds to 4184 J/(kg·K) in standard SI measurement.

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 cal (th)/(g·°C) = 4184 J/(kg·K)

Kilojoule/kilogram/K

kJ/(kg·K)
SI Multiple

A Kilojoule/kilogram/K (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 pure liquid water standard specific heat capacity at 25°C equals 4.184 kJ/(kg·K), a dry atmospheric air specific heat at constant pressure cp equals 1.005 kJ/(kg·K), a solid structural aluminum metal specific heat capacity equals 0.897 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)

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 cal (th)/(g·°C) at 50 kg Domestic Water at 40K Swing (2,000 kg·K) = 8368000 J
Equals 8368 kJ • 8.368 MJ • 2.324444 kWh
SI Energy
8368000
J
Joules
Thermal Scale
8368
kJ
Kilojoules
Bulk Energy
8.368
MJ
Megajoules
Electric Utility Meter
2.324444
kWh
Kilowatt-Hours
Battery Capacity
2324.4444
Wh
Watt-Hours
Imperial Thermal
7931.3337
BTU
British Thermal Units
  1. 1. Normalize Input to SI Base Unit (J/(kg·K)):
    c_p = 1 cal (th)/(g·°C) × 4184 = 4184 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) = (4184 J/(kg·K)) × (2000 kg·K) = 8368000 J
  4. 4. Convert to Standard Engineering Units:
    • J: 8368000 × 1 = 8368000 J (Joules) • kJ: 8368000 × 0.001 = 8368 kJ (Kilojoules) • MJ: 8368000 × 1 × 10⁻⁶ = 8.368 MJ (Megajoules) • kWh: 8368000 × 2.7778 × 10⁻⁷ = 2.324444 kWh (Kilowatt-Hours) • Wh: 8368000 × 0.0002778 = 2324.4444 Wh (Watt-Hours) • BTU: 8368000 × 0.0009478 = 7931.3337 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 4.184 kilojoules/kilogram/k (kJ/(kg·K)) in 1 calorie (th)/gram/°c (cal (th)/(g·°C)). To calculate larger amounts manually, simply multiply your total number of calories (th)/gram/°c by the conversion multiplier of 4.184.

The mathematical formula to convert calories (th)/gram/°c to kilojoules/kilogram/k is: [value] * 4.184 = kilojoules/kilogram/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 kilojoules/kilogram/k back to calories (th)/gram/°c, you must divide your starting value by 4.184. Our bidirectional tool automatically computes this inverse equation the moment you type into the kilojoule/kilogram/k input field.

1 Calorie (th)/gram/°C is larger than 1 Kilojoule/kilogram/K. Specifically, 1 Calorie (th)/gram/°C equals exactly 4.184 kilojoules/kilogram/k, making it 4.184 times larger (a difference of 0.62 orders of magnitude). Therefore, quantities expressed in kilojoules/kilogram/k require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (th)/gram/°C converts to 4.184 kilojoules/kilogram/k. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.