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Kilocalories (th)/kilogram/K to Joules/gram/°C Converter (kcal (th)/(kg·K) to J/(g·°C))

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Live Conversion • ISO 80000-5:2019 Certified
1 Kilocalorie (th)/kilogram/K = 4.18399538 Joule/gram/°C
1 kcal (th)/(kg·K) = 4.183995 J/(g·°C) • 1 J/(g·°C) = 0.239006 kcal (th)/(kg·K)
Kilocalorie (th)/kilogram/K to Joule/gram/°C: One Kilocalorie (th)/kilogram/K is equal to 4.18399538 Joules/gram/°C.
Certified Authority Value
4.18399538
J/(g·°C)
Exact: 1 J/(g·°C) ≡ 0.239006 kcal (th)/(kg·K)
kcal (th)/(kg·K)
kcal (th)/(kg·K)
Swap to Joule/gram/°C to Kilocalorie (th)/kilogram/K
Swap to Joule/gram/°C to Kilocalorie (th)/kilogram/K
J/(g·°C)
J/(g·°C) 4.18399538
Quick Values:
Conversion Formula
To convert Kilocalorie (th)/kilogram/K to Joule/gram/°C, multiply by 4.18399538
kcal (th)/(kg·K) × 4.18399538 = J/(g·°C)

Calculation: 1 kcal (th)/(kg·K) × 4.18399538 = 4.18399538 J/(g·°C)

Common Kilocalorie (th)/kilogram/K to Joule/gram/°C Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)) and Joule/gram/°C (J/(g·°C)).

Tap any row to calculate
Kilocalorie (th)/kilogram/K to Joule/gram/°C: Primary Direct Table (15 Steps)
Kilocalorie (th)/kilogram/K to Joule/gram/°C Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 kcal (th)/(kg·K) 0.004184 J/(g·°C) 4.184 × 10⁻³
0.01 kcal (th)/(kg·K) 0.04184 J/(g·°C) 4.184 × 10⁻²
0.1 kcal (th)/(kg·K) 0.4184 J/(g·°C) 4.184 × 10⁻¹
0.5 kcal (th)/(kg·K) 2.091998 J/(g·°C) 2.092 × 10⁰
1 kcal (th)/(kg·K) 4.183995 J/(g·°C) 4.184 × 10⁰
2 kcal (th)/(kg·K) 8.367991 J/(g·°C) 8.368 × 10⁰
5 kcal (th)/(kg·K) 20.919977 J/(g·°C) 2.092 × 10¹
10 kcal (th)/(kg·K) 41.839954 J/(g·°C) 4.184 × 10¹
20 kcal (th)/(kg·K) 83.679908 J/(g·°C) 8.368 × 10¹
25 kcal (th)/(kg·K) 104.599885 J/(g·°C) 1.046 × 10²
50 kcal (th)/(kg·K) 209.199769 J/(g·°C) 2.092 × 10²
100 kcal (th)/(kg·K) 418.399538 J/(g·°C) 4.184 × 10²
250 kcal (th)/(kg·K) 1045.998845 J/(g·°C) 1.046 × 10³
500 kcal (th)/(kg·K) 2091.99769 J/(g·°C) 2.092 × 10³
1000 kcal (th)/(kg·K) 4183.995381 J/(g·°C) 4.184 × 10³
Joule/gram/°C to Kilocalorie (th)/kilogram/K: Reciprocal Summary
Joule/gram/°C to Kilocalorie (th)/kilogram/K Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 J/(g·°C) 0.239006 kcal (th)/(kg·K) 2.39 × 10⁻¹
5 J/(g·°C) 1.19503 kcal (th)/(kg·K) 1.195 × 10⁰
10 J/(g·°C) 2.39006 kcal (th)/(kg·K) 2.39 × 10⁰
50 J/(g·°C) 11.9503 kcal (th)/(kg·K) 1.195 × 10¹
100 J/(g·°C) 23.9006 kcal (th)/(kg·K) 2.39 × 10¹
View Complete 15-Row Joule/gram/°C to Kilocalorie (th)/kilogram/K 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 Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)) and Joule/gram/°C (J/(g·°C)):

Kilocalorie (th)/kilogram/K References:

  • Thermodynamic water heat capacity standard benchmark 1 kcal (th)/(kg·K)

Joule/gram/°C References:

  • Pure drinking water specific heat capacity (1 cal/g/°C) 4.184 J/(g·°C)
  • Freshwater solid ice specific heat capacity at -10°C 2.05 J/(g·°C)
  • Natural cooking olive oil specific heat capacity 1.97 J/(g·°C)
  • Pure ethyl alcohol ethanol specific heat capacity 2.44 J/(g·°C)

Tap any benchmark above to automatically calculate its exact equivalent in Joule/gram/°C.

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

How to Convert Kilocalorie (th)/kilogram/K to Joule/gram/°C

Converting Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)) to Joule/gram/°C (J/(g·°C)) 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 Kilocalorie (th)/kilogram/K represents a larger magnitude than Joule/gram/°C, converting from kcal (th)/(kg·K) to J/(g·°C) expands the numerical figure. Exactly 1 Kilocalorie (th)/kilogram/K encompasses 4.183995 Joule/gram/°C. To convert any quantity, multiply the value in Kilocalorie (th)/kilogram/K by 4.183995.

Direct Factor1 kcal (th)/(kg·K) = 4.183995 J/(g·°C)
Inverse Ratio1 J/(g·°C) = 0.239006 kcal (th)/(kg·K)
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 kcal (th)/(kg·K) = 4183.995381 joule per kilogram kelvin (J/(kg·K))
2. Target SI Bridge (ktarget):1 J/(g·°C) = 1000 joule per kilogram kelvin (J/(kg·K))
Step-by-step substitution for Kilocalorie (th)/kilogram/K → Joule/gram/°C:V(J/(g·°C)) = V(kcal (th)/(kg·K)) × ( 4183.995381 / 1000 ) = V(kcal (th)/(kg·K)) × 4.183995
Mathematical FormulaValue in Joule/gram/°C = Value in Kilocalorie (th)/kilogram/K × 4.18399538Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 kcal (th)/(kg·K), applying the conversion factor yields exactly 1045.998845 J/(g·°C). At larger operational scale, 10000 Kilocalorie (th)/kilogram/K corresponds to 41839.953809 J/(g·°C).

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

Understanding Kilocalorie (th)/kilogram/K and Joule/gram/°C

Kilocalorie (th)/kilogram/K

kcal (th)/(kg·K)
SI Multiple

A Kilocalorie (th)/kilogram/K (kcal (th)/(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 thermodynamic water heat capacity standard benchmark equals 1 kcal (th)/(kg·K).

Physical Setup

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

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

Joule/gram/°C

J/(g·°C)
Standard Unit

A Joule/gram/°C (J/(g·°C)) is a recognized unit for specific heat capacity.

Applications & Practical Context

In practical specific heat capacity terms, a pure drinking water specific heat capacity (1 cal/g/°C) equals 4.184 J/(g·°C), a freshwater solid ice specific heat capacity at -10°C equals 2.05 J/(g·°C), a natural cooking olive oil specific heat capacity equals 1.97 J/(g·°C).

Physical Setup

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

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 J/(g·°C) = 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 kcal (th)/(kg·K) at 50 kg Domestic Water at 40K Swing (2,000 kg·K) = 8367990.7617 J
Equals 8367.9908 kJ • 8.367991 MJ • 2.324442 kWh
SI Energy
8367990.7617
J
Joules
Thermal Scale
8367.9908
kJ
Kilojoules
Bulk Energy
8.367991
MJ
Megajoules
Electric Utility Meter
2.324442
kWh
Kilowatt-Hours
Battery Capacity
2324.4419
Wh
Watt-Hours
Imperial Thermal
7931.3249
BTU
British Thermal Units
  1. 1. Normalize Input to SI Base Unit (J/(kg·K)):
    c_p = 1 kcal (th)/(kg·K) × 4183.99538087 = 4183.99538087 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) = (4183.99538087 J/(kg·K)) × (2000 kg·K) = 8367990.761738 J
  4. 4. Convert to Standard Engineering Units:
    • J: 8367990.761738 × 1 = 8367990.7617 J (Joules) • kJ: 8367990.761738 × 0.001 = 8367.9908 kJ (Kilojoules) • MJ: 8367990.761738 × 1 × 10⁻⁶ = 8.367991 MJ (Megajoules) • kWh: 8367990.761738 × 2.7778 × 10⁻⁷ = 2.324442 kWh (Kilowatt-Hours) • Wh: 8367990.761738 × 0.0002778 = 2324.4419 Wh (Watt-Hours) • BTU: 8367990.761738 × 0.0009478 = 7931.3249 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 4.18399538 joules/gram/°c (J/(g·°C)) in 1 kilocalorie (th)/kilogram/k (kcal (th)/(kg·K)). To calculate larger amounts manually, simply multiply your total number of kilocalories (th)/kilogram/k by the conversion multiplier of 4.18399538.

The mathematical formula to convert kilocalories (th)/kilogram/k to joules/gram/°c is: [value] * 4.18399538 = joules/gram/°c. 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 joules/gram/°c back to kilocalories (th)/kilogram/k, you must divide your starting value by 4.18399538. Our bidirectional tool automatically computes this inverse equation the moment you type into the joule/gram/°c input field.

1 Kilocalorie (th)/kilogram/K is larger than 1 Joule/gram/°C. Specifically, 1 Kilocalorie (th)/kilogram/K equals exactly 4.18399538 joules/gram/°c, making it 4.184 times larger (a difference of 0.62 orders of magnitude). Therefore, quantities expressed in joules/gram/°c require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Kilocalorie (th)/kilogram/K converts to 4.18399538 joules/gram/°c. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.