Skip to main content
0 results ↑ ↓ navigate, ↵ select

Calories (th)/gram/K to Kilocalories (it)/kilogram/K Converter (cal (th)/(g·K) to kcal/(kg·K))

Rate this converter 0 of 0 ratings
Instant calculation with 0ms overhead
Popular Converters
Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/gram/K = 0.99933056 Kilocalorie (IT)/kilogram/K
1 cal (th)/(g·K) = 0.999331 kcal/(kg·K) • 1 kcal/(kg·K) = 1.00067 cal (th)/(g·K)
Calorie (th)/gram/K to Kilocalorie (IT)/kilogram/K: One Calorie (th)/gram/K is equal to 0.99933056 Kilocalories (it)/kilogram/K.
Certified Authority Value
0.99933056
kcal/(kg·K)
Exact: 1 kcal/(kg·K) ≡ 1.0006698877 cal (th)/(g·K)
cal (th)/(g·K)
cal (th)/(g·K)
Swap to Kilocalorie (IT)/kilogram/K to Calorie (th)/gram/K
Swap to Kilocalorie (IT)/kilogram/K to Calorie (th)/gram/K
kcal/(kg·K)
kcal/(kg·K) 0.99933056
Quick Values:
Conversion Formula
To convert Calorie (th)/gram/K to Kilocalorie (IT)/kilogram/K, multiply by 0.99933056
cal (th)/(g·K) × 0.99933056 = kcal/(kg·K)

Calculation: 1 cal (th)/(g·K) × 0.99933056 = 0.99933056 kcal/(kg·K)

Common Calorie (th)/gram/K to Kilocalorie (IT)/kilogram/K Calculations

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

Tap any row to calculate
Calorie (th)/gram/K to Kilocalorie (IT)/kilogram/K: Primary Direct Table (15 Steps)
Calorie (th)/gram/K to Kilocalorie (IT)/kilogram/K Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(g·K) 0.000999331 kcal/(kg·K) 9.993 × 10⁻⁴
0.01 cal (th)/(g·K) 0.00999331 kcal/(kg·K) 9.993 × 10⁻³
0.1 cal (th)/(g·K) 0.0999331 kcal/(kg·K) 9.993 × 10⁻²
0.5 cal (th)/(g·K) 0.499665 kcal/(kg·K) 4.997 × 10⁻¹
1 cal (th)/(g·K) 0.999331 kcal/(kg·K) 9.993 × 10⁻¹
2 cal (th)/(g·K) 1.998661 kcal/(kg·K) 1.999 × 10⁰
5 cal (th)/(g·K) 4.996653 kcal/(kg·K) 4.997 × 10⁰
10 cal (th)/(g·K) 9.993306 kcal/(kg·K) 9.993 × 10⁰
20 cal (th)/(g·K) 19.986611 kcal/(kg·K) 1.999 × 10¹
25 cal (th)/(g·K) 24.983264 kcal/(kg·K) 2.498 × 10¹
50 cal (th)/(g·K) 49.966528 kcal/(kg·K) 4.997 × 10¹
100 cal (th)/(g·K) 99.933056 kcal/(kg·K) 9.993 × 10¹
250 cal (th)/(g·K) 249.83264 kcal/(kg·K) 2.498 × 10²
500 cal (th)/(g·K) 499.66528 kcal/(kg·K) 4.997 × 10²
1000 cal (th)/(g·K) 999.330561 kcal/(kg·K) 9.993 × 10²
Kilocalorie (IT)/kilogram/K to Calorie (th)/gram/K: Reciprocal Summary
Kilocalorie (IT)/kilogram/K to Calorie (th)/gram/K Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 kcal/(kg·K) 1.00067 cal (th)/(g·K) 1.001 × 10⁰
5 kcal/(kg·K) 5.003349 cal (th)/(g·K) 5.003 × 10⁰
10 kcal/(kg·K) 10.006699 cal (th)/(g·K) 1.001 × 10¹
50 kcal/(kg·K) 50.033494 cal (th)/(g·K) 5.003 × 10¹
100 kcal/(kg·K) 100.066989 cal (th)/(g·K) 1.001 × 10²
View Complete 15-Row Kilocalorie (IT)/kilogram/K to Calorie (th)/gram/K Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

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

Calorie (th)/gram/K References:

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

Kilocalorie (IT)/kilogram/K References:

  • Industrial liquid water heating requirement per kelvin 1 kcal/(kg·K)

Tap any benchmark above to automatically calculate its exact equivalent in Kilocalorie (IT)/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/K to Kilocalorie (IT)/kilogram/K

Converting Calorie (th)/gram/K (cal (th)/(g·K)) to Kilocalorie (IT)/kilogram/K (kcal/(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 Kilocalorie (IT)/kilogram/K is a broader physical scale than Calorie (th)/gram/K, converting from cal (th)/(g·K) to kcal/(kg·K) condenses the numerical figure. It takes 1.00067 Calorie (th)/gram/K to equal a single Kilocalorie (IT)/kilogram/K (1 cal (th)/(g·K) = 0.999331 kcal/(kg·K)). To convert any quantity, multiply by 0.999331 (or divide by 1.00067).

Direct Factor1 cal (th)/(g·K) = 0.999331 kcal/(kg·K)
Inverse Ratio1 kcal/(kg·K) = 1.00067 cal (th)/(g·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 cal (th)/(g·K) = 4183.995381 joule per kilogram kelvin (J/(kg·K))
2. Target SI Bridge (ktarget):1 kcal/(kg·K) = 4186.798188 joule per kilogram kelvin (J/(kg·K))
Step-by-step substitution for Calorie (th)/gram/K → Kilocalorie (IT)/kilogram/K:V(kcal/(kg·K)) = V(cal (th)/(g·K)) × ( 4183.995381 / 4186.798188 ) = V(cal (th)/(g·K)) × 0.999331
Mathematical FormulaValue in Kilocalorie (IT)/kilogram/K = Value in Calorie (th)/gram/K × 0.99933056Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 36 cal (th)/(g·K), applying the conversion factor yields exactly 35.9759 kcal/(kg·K). At larger operational scale, 5000 Calorie (th)/gram/K corresponds to 4996.652804 kcal/(kg·K).

Inverse check: 1 kcal/(kg·K) = 1.00067 cal (th)/(g·K).

Understanding Calorie (th)/gram/K and Kilocalorie (IT)/kilogram/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)

Kilocalorie (IT)/kilogram/K

kcal/(kg·K)
SI Multiple

A Kilocalorie (IT)/kilogram/K (kcal/(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 industrial liquid water heating requirement per kelvin equals 1 kcal/(kg·K).

Physical Setup

A physical magnitude of 1 kcal/(kg·K) corresponds to 4186.798188 J/(kg·K) in standard SI measurement.

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 kcal/(kg·K) = 4186.798188 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·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 cal (th)/(g·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
Embed
Need this Calorie (th)/gram/K to Kilocalorie (IT)/kilogram/K calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 0.99933056 kilocalories (it)/kilogram/k (kcal/(kg·K)) in 1 calorie (th)/gram/k (cal (th)/(g·K)). To calculate larger amounts manually, simply multiply your total number of calories (th)/gram/k by the conversion multiplier of 0.99933056.

The mathematical formula to convert calories (th)/gram/k to kilocalories (it)/kilogram/k is: [value] * 0.99933056 = kilocalories (it)/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 kilocalories (it)/kilogram/k back to calories (th)/gram/k, you must divide your starting value by 0.99933056. Our bidirectional tool automatically computes this inverse equation the moment you type into the kilocalorie (it)/kilogram/k input field.

1 Kilocalorie (IT)/kilogram/K is larger than 1 Calorie (th)/gram/K. Specifically, 1 Calorie (th)/gram/K equals 0.99933056 kilocalories (it)/kilogram/k, meaning 1 Kilocalorie (IT)/kilogram/K is 1.0007 times larger than 1 Calorie (th)/gram/K (a difference of 0.00 orders of magnitude). Expressing measurements in calories (th)/gram/k requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Calorie (th)/gram/K converts to 0.99933056 kilocalories (it)/kilogram/k. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.