Calories (thermochemical)/second/centimeter/°C to Watts/centimeter/kelvin Converter (cal/(s·cm·°C) to W/(cm·K))

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Live Conversion • ISO 80000-5:2019 Certified

1 Calorie/second/centimeter/°C = 4.18679819 Watt/centimeter/kelvin

1 cal/(s·cm·°C) = 4.186798 W/(cm·K) • 1 W/(cm·K) = 0.238846 cal/(s·cm·°C)

Decimals:

Certified Authority Value

4.18679819

W/(cm·K)

From / Input

cal/(s·cm·°C)

Swap to Watt/centimeter/kelvin to Calorie/second/centimeter/°C

To / Result

W/(cm·K)

Quick Values:

Conversion Formula

To convert Calorie/second/centimeter/°C to Watt/centimeter/kelvin, multiply by 4.18679819

cal/(s·cm·°C) × 4.18679819 = W/(cm·K)

Calculation: 1 cal/(s·cm·°C) × 4.18679819 = 4.18679819 W/(cm·K)

Common Calorie/second/centimeter/°C to Watt/centimeter/kelvin Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Calorie/second/centimeter/°C (cal/(s·cm·°C)) and Watt/centimeter/kelvin (W/(cm·K)).

Tap any row to calculate

Calorie/second/centimeter/°C to Watt/centimeter/kelvin: Primary Direct Table (15 Steps)

Rule: 1 Calorie/second/centimeter/°C is equal to 4.186798 W/(cm·K) (Watt/centimeter/kelvin)

Calorie/second/centimeter/°C to Watt/centimeter/kelvin Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 cal/(s·cm·°C) 0.0041868 W/(cm·K)	4.187 × 10⁻³
0.01 cal/(s·cm·°C) 0.041868 W/(cm·K)	4.187 × 10⁻²
0.1 cal/(s·cm·°C) 0.41868 W/(cm·K)	4.187 × 10⁻¹
0.5 cal/(s·cm·°C) 2.093399 W/(cm·K)	2.093 × 10⁰
1 cal/(s·cm·°C) 4.186798 W/(cm·K)	4.187 × 10⁰
2 cal/(s·cm·°C) 8.373596 W/(cm·K)	8.374 × 10⁰
5 cal/(s·cm·°C) 20.933991 W/(cm·K)	2.093 × 10¹
10 cal/(s·cm·°C) 41.867982 W/(cm·K)	4.187 × 10¹
20 cal/(s·cm·°C) 83.735964 W/(cm·K)	8.374 × 10¹
25 cal/(s·cm·°C) 104.669955 W/(cm·K)	1.047 × 10²
50 cal/(s·cm·°C) 209.339909 W/(cm·K)	2.093 × 10²
100 cal/(s·cm·°C) 418.679819 W/(cm·K)	4.187 × 10²
250 cal/(s·cm·°C) 1046.699547 W/(cm·K)	1.047 × 10³
500 cal/(s·cm·°C) 2093.399094 W/(cm·K)	2.093 × 10³
1000 cal/(s·cm·°C) 4186.798188 W/(cm·K)	4.187 × 10³

Watt/centimeter/kelvin to Calorie/second/centimeter/°C: Reciprocal Summary

Rule: 1 Watt/centimeter/kelvin is equal to 0.238846 cal/(s·cm·°C) (Calorie/second/centimeter/°C)

Watt/centimeter/kelvin to Calorie/second/centimeter/°C Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 W/(cm·K) 0.238846 cal/(s·cm·°C)	2.388 × 10⁻¹
5 W/(cm·K) 1.19423 cal/(s·cm·°C)	1.194 × 10⁰
10 W/(cm·K) 2.38846 cal/(s·cm·°C)	2.388 × 10⁰
50 W/(cm·K) 11.9423 cal/(s·cm·°C)	1.194 × 10¹
100 W/(cm·K) 23.8846 cal/(s·cm·°C)	2.388 × 10¹

View Complete 15-Row Watt/centimeter/kelvin to Calorie/second/centimeter/°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/second/centimeter/°C (cal/(s·cm·°C)) and Watt/centimeter/kelvin (W/(cm·K)):

Calorie/second/centimeter/°C References:

Stationary atmospheric dry air thermal conductivity at sea level 6.2E-5 cal/(s·cm·°C)
Commercial fiberglass building insulation batt thermal conductivity 9.6E-5 cal/(s·cm·°C)
Liquid drinking water thermal conductivity at room temperature 0.001433 cal/(s·cm·°C)
Architectural structural concrete wall thermal conductivity 0.003583 cal/(s·cm·°C)

Watt/centimeter/kelvin References:

Stationary atmospheric dry air thermal conductivity at sea level 0.00026 W/(cm·K)
Commercial fiberglass building insulation batt thermal conductivity 0.0004 W/(cm·K)
Liquid drinking water thermal conductivity at room temperature 0.006 W/(cm·K)
Architectural structural concrete wall thermal conductivity 0.015 W/(cm·K)

Tap any benchmark above to automatically calculate its exact equivalent in Watt/centimeter/kelvin.

ISQ Dimension: [M L T⁻³ Θ⁻¹] Coherent SI Unit: watt per meter kelvin (W/(m·K)) Thermodynamics & Heat Transfer

How to Convert Calorie/second/centimeter/°C to Watt/centimeter/kelvin

Converting Calorie/second/centimeter/°C (cal/(s·cm·°C)) to Watt/centimeter/kelvin (W/(cm·K)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. Because Calorie/second/centimeter/°C represents a larger magnitude than Watt/centimeter/kelvin, converting from cal/(s·cm·°C) to W/(cm·K) expands the numerical figure. Exactly 1 Calorie/second/centimeter/°C encompasses 4.186798 Watt/centimeter/kelvin. To convert any quantity, multiply the value in Calorie/second/centimeter/°C by 4.186798.

Direct Factor1 cal/(s·cm·°C) = 4.186798 W/(cm·K)

Inverse Ratio1 W/(cm·K) = 0.238846 cal/(s·cm·°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 (watt per meter kelvin (W/(m·K))) without arbitrary rounding:

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 (k_source):1 cal/(s·cm·°C) = 418.679819 watt per meter kelvin (W/(m·K))

2. Target SI Bridge (k_target):1 W/(cm·K) = 100 watt per meter kelvin (W/(m·K))

Step-by-step substitution for Calorie/second/centimeter/°C → Watt/centimeter/kelvin:V(W/(cm·K)) = V(cal/(s·cm·°C)) × ( 418.679819 / 100 ) = V(cal/(s·cm·°C)) × 4.186798

Mathematical FormulaValue in Watt/centimeter/kelvin = Value in Calorie/second/centimeter/°C × 4.18679819Direct computational formula applied for standard conversion.

Worked Example

To convert 120 Calorie/second/centimeter/°C (cal/(s·cm·°C)) to Watt/centimeter/kelvin (W/(cm·K)): multiply 120 by 4.186798 to get 502.415783 W/(cm·K). At an industrial engineering scale, 100 cal/(s·cm·°C) converts to 418.679819 W/(cm·K).

Inverse check: 1 W/(cm·K) = 0.238846 cal/(s·cm·°C).

Understanding Calorie/second/centimeter/°C and Watt/centimeter/kelvin

Domain Metrology & Engineering Applications

Governing Law & Equation

Fourier's Law of Heat Conduction (q = -k · ∇T)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using guarded hot plate apparatus (ASTM C177), laser flash thermal diffusivity analyzers, and transient plane source (TPS) sensors.

Primary Industry Sectors

Applied across thermal interface material (TIM) development, architectural insulation manufacturing, aerospace heat shield design, and refractory ceramics under international metrology standard ISO 80000-5:2019, ASTM C177.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASTM C177 and the BIPM SI Brochure (9th Edition). Governed by Fourier's Law of Heat Conduction (q = -k · ∇T) under ISO 80000 dimensional vector [M L T⁻³ Θ⁻¹].

Multi-Variable Engineering Bridge Heat Transfer & Conduction Physics

Thermal Conductivity to Heat Flux Density Bridge (W/m² • kW/m² • BTU/(h·ft²) • cal/(s·cm²))

Calculate Fourier conduction heat flux q" = k × ∇T across building envelopes and industrial heat exchangers, bridging thermal conductivity [M L T⁻³ Θ⁻¹] with heat flux density [M T⁻³].

Input Thermal Conductivity (k): cal/(s·cm·°C)

Select Temperature Gradient Through Wall (ΔT / L): 200 K/m

Governing Law: q" = k × ∇T

Vector: [W/(m·K)] × [K/m] → [W/m²]

Live Calculated Bridge Equivalent:

1 cal/(s·cm·°C) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 83735.9638 W/m²

Equals 83.736 kW/m² • 26544.1662 BTU/(h·ft²) • 1.999999 cal/(s·cm²)

SI Heat Flux

83735.9638

W/m²

Watts per Square Meter

Solar / Combustion

83.736

kW/m²

Kilowatts per Square Meter

US Building Envelope

26544.1662

BTU/(h·ft²)

BTU per Hour Sq. Foot

CGS Thermal

1.999999

cal/(s·cm²)

Calories per Second Sq. Cm

Meteorology

120.0215

Ly/min

Langley per Minute

Furnace Flux

0.083736

MW/m²

Megawatts per Square Meter

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W/(m·K)):
k = 1 cal/(s·cm·°C) × 418.6798188 = 418.6798188 W/(m·K)
2. Apply Engineering Parameter (∇T):
Selected condition: Insulated Wall Core (20K across 0.1m = 200 K/m) at ∇T = 200 K/m
3. Execute Governing Physical Law in SI Units:
q" = k × ∇T = (418.6798188 W/(m·K)) × (200 K/m) = 83735.963759 W/m²
4. Convert to Standard Engineering Units:
• W/m²: 83735.963759 × 1 = 83735.9638 W/m² (Watts per Square Meter) • kW/m²: 83735.963759 × 0.001 = 83.736 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 83735.963759 × 0.317 = 26544.1662 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 83735.963759 × 2.3885 × 10⁻⁵ = 1.999999 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 83735.963759 × 0.001433 = 120.0215 Ly/min (Langley per Minute) • MW/m²: 83735.963759 × 1 × 10⁻⁶ = 0.083736 MW/m² (Megawatts per Square Meter)

Explore Full Heat Flux Density Converter →

Engineering Substance / Operating Standard	Parameter Value (K/m)	Reference State / Condition	Typical Industrial & Engineering Application
Insulated Wall Core (20K across 0.1m = 200 K/m)	`200`	200 K/m	Standard residential fiberglass/mineral wool batt
Solid Brick Masonry (25K across 0.25m = 100 K/m)	`100`	100 K/m	Architectural structural brick veneer wall
Steam Boiler Tube Wall (100K across 0.005m = 20,000 K/m)	`20000`	20,000 K/m	Carbon steel heat recovery steam boiler tube
CPU Copper Heat Spreader (30K across 0.002m = 15,000 K/m)	`15000`	15,000 K/m	Semiconductor thermal interface heat spreader

Frequently Asked Questions

There are exactly 4.18679819 watts/centimeter/kelvin (W/(cm·K)) in 1 calorie/second/centimeter/°c (cal/(s·cm·°C)). To calculate larger amounts manually, simply multiply your total number of calories (thermochemical)/second/centimeter/°c by the conversion multiplier of 4.18679819.

The mathematical formula to convert calories (thermochemical)/second/centimeter/°c to watts/centimeter/kelvin is: [value] * 4.18679819 = watts/centimeter/kelvin. 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 watts/centimeter/kelvin back to calories (thermochemical)/second/centimeter/°c, you must divide your starting value by 4.18679819. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt/centimeter/kelvin input field.

1 Calorie/second/centimeter/°C is larger than 1 Watt/centimeter/kelvin. Specifically, 1 Calorie/second/centimeter/°C equals exactly 4.18679819 watts/centimeter/kelvin, making it 4.1868 times larger (a difference of 0.62 orders of magnitude). Therefore, quantities expressed in watts/centimeter/kelvin require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie/second/centimeter/°C converts to 4.18679819 watts/centimeter/kelvin. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.