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Watt/meter/kelvin to Calorie (th)/second/centimeter/°C (W/(m·K) to cal (th)/(s·cm·°C)) Calculator

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Live Conversion • ISO 80000-5:2019 Certified
1 Watt/meter/kelvin = 0.0023900574 Calorie (th)/second/centimeter/°C
1 W/(m·K) = 0.00239006 cal (th)/(s·cm·°C) • 1 cal (th)/(s·cm·°C) = 418.4 W/(m·K)
Watt/meter/kelvin to Calorie (th)/second/centimeter/°C: One Watt/meter/kelvin is equal to 0.0023900574 Calories (th)/second/centimeter/°C.
Certified Authority Value
0.00239006
cal (th)/(s·cm·°C)
Exact: 1 cal (th)/(s·cm·°C) ≡ 418.4 W/(m·K)
W/(m·K)
W/(m·K)
Swap to Calorie (th)/second/centimeter/°C to Watt/meter/kelvin
Swap to Calorie (th)/second/centimeter/°C to Watt/meter/kelvin
cal (th)/(s·cm·°C)
cal (th)/(s·cm·°C) 0.0023900574
Quick Values:
Conversion Formula
To convert Watt/meter/kelvin to Calorie (th)/second/centimeter/°C, multiply by 0.0023900574
W/(m·K) × 0.0023900574 = cal (th)/(s·cm·°C)

Calculation: 1 W/(m·K) × 0.0023900574 = 0.0023900574 cal (th)/(s·cm·°C)

Common Watt/meter/kelvin to Calorie (th)/second/centimeter/°C Calculations

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

Tap any row to calculate
Watt/meter/kelvin to Calorie (th)/second/centimeter/°C: Primary Direct Table (15 Steps)
Watt/meter/kelvin to Calorie (th)/second/centimeter/°C Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(m·K) 2.390057 × 10⁻⁶ cal (th)/(s·cm·°C) 2.39 × 10⁻⁶
0.01 W/(m·K) 2.390057 × 10⁻⁵ cal (th)/(s·cm·°C) 2.39 × 10⁻⁵
0.1 W/(m·K) 0.000239006 cal (th)/(s·cm·°C) 2.39 × 10⁻⁴
0.5 W/(m·K) 0.00119503 cal (th)/(s·cm·°C) 1.195 × 10⁻³
1 W/(m·K) 0.00239006 cal (th)/(s·cm·°C) 2.39 × 10⁻³
2 W/(m·K) 0.00478011 cal (th)/(s·cm·°C) 4.78 × 10⁻³
5 W/(m·K) 0.0119503 cal (th)/(s·cm·°C) 1.195 × 10⁻²
10 W/(m·K) 0.0239006 cal (th)/(s·cm·°C) 2.39 × 10⁻²
20 W/(m·K) 0.0478011 cal (th)/(s·cm·°C) 4.78 × 10⁻²
25 W/(m·K) 0.0597514 cal (th)/(s·cm·°C) 5.975 × 10⁻²
50 W/(m·K) 0.119503 cal (th)/(s·cm·°C) 1.195 × 10⁻¹
100 W/(m·K) 0.239006 cal (th)/(s·cm·°C) 2.39 × 10⁻¹
250 W/(m·K) 0.597514 cal (th)/(s·cm·°C) 5.975 × 10⁻¹
500 W/(m·K) 1.195029 cal (th)/(s·cm·°C) 1.195 × 10⁰
1000 W/(m·K) 2.390057 cal (th)/(s·cm·°C) 2.39 × 10⁰
Calorie (th)/second/centimeter/°C to Watt/meter/kelvin: Reciprocal Summary
Calorie (th)/second/centimeter/°C to Watt/meter/kelvin Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal (th)/(s·cm·°C) 418.4 W/(m·K) 4.184 × 10²
5 cal (th)/(s·cm·°C) 2092 W/(m·K) 2.092 × 10³
10 cal (th)/(s·cm·°C) 4184 W/(m·K) 4.184 × 10³
50 cal (th)/(s·cm·°C) 20920 W/(m·K) 2.092 × 10⁴
100 cal (th)/(s·cm·°C) 41840 W/(m·K) 4.184 × 10⁴
View Complete 15-Row Calorie (th)/second/centimeter/°C to Watt/meter/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 Watt/meter/kelvin (W/(m·K)) and Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°C)):

Watt/meter/kelvin References:

  • Stationary atmospheric dry air thermal conductivity at sea level 0.026 W/(m·K)
  • Commercial fiberglass building insulation batt thermal conductivity 0.04 W/(m·K)
  • Liquid drinking water thermal conductivity at room temperature 0.6 W/(m·K)
  • Architectural structural concrete wall thermal conductivity 1.5 W/(m·K)
  • High-purity electrical copper metal heat conductor thermal conductivity 401 W/(m·K)

Calorie (th)/second/centimeter/°C References:

  • Pure silver metal thermal conductivity at room temperature 1.02 cal (th)/(s·cm·°C)

Tap any benchmark above to automatically calculate its exact equivalent in Calorie (th)/second/centimeter/°C.

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

How to Convert Watt/meter/kelvin to Calorie (th)/second/centimeter/°C

Converting Watt/meter/kelvin (W/(m·K)) to Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°C)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. Because Calorie (th)/second/centimeter/°C is a broader physical scale than Watt/meter/kelvin, converting from W/(m·K) to cal (th)/(s·cm·°C) condenses the numerical figure. It takes 418.4 Watt/meter/kelvin to equal a single Calorie (th)/second/centimeter/°C (1 W/(m·K) = 0.00239006 cal (th)/(s·cm·°C)). To convert any quantity, multiply by 0.00239006 (or divide by 418.4).

Direct Factor1 W/(m·K) = 0.00239006 cal (th)/(s·cm·°C)
Inverse Ratio1 cal (th)/(s·cm·°C) = 418.4 W/(m·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 (watt per meter kelvin (W/(m·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 W/(m·K) = 1 watt per meter kelvin (W/(m·K))
2. Target SI Bridge (ktarget):1 cal (th)/(s·cm·°C) = 418.4 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Watt/meter/kelvin → Calorie (th)/second/centimeter/°C:V(cal (th)/(s·cm·°C)) = V(W/(m·K)) × ( 1 / 418.4 ) = V(W/(m·K)) × 0.00239006
Mathematical FormulaValue in Calorie (th)/second/centimeter/°C = Value in Watt/meter/kelvin × 0.0023900574Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 W/(m·K), applying the conversion factor yields exactly 0.0191205 cal (th)/(s·cm·°C). At larger operational scale, 2500 Watt/meter/kelvin corresponds to 5.975143 cal (th)/(s·cm·°C).

Inverse check: 1 cal (th)/(s·cm·°C) = 418.4 W/(m·K).

Understanding Watt/meter/kelvin and Calorie (th)/second/centimeter/°C

Watt/meter/kelvin

W/(m·K)
SI Base Standard

A Watt/meter/kelvin (W/(m·K)) is the official base standard unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a stationary atmospheric dry air thermal conductivity at sea level equals 0.026 W/(m·K), a commercial fiberglass building insulation batt thermal conductivity equals 0.04 W/(m·K), a liquid drinking water thermal conductivity at room temperature equals 0.6 W/(m·K).

Physical Setup

A thermal conductivity of 1 W/(m·K) produces a steady heat flow rate of 1 watt across a 1-meter thickness with a 1-kelvin gradient.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 W/(m·K) = 1 W/(m·K) (Base Standard)

Calorie (th)/second/centimeter/°C

cal (th)/(s·cm·°C)
Standard Unit

A Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°C)) is a recognized unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a pure silver metal thermal conductivity at room temperature equals 1.02 cal (th)/(s·cm·°C).

Physical Setup

A physical magnitude of 1 cal (th)/(s·cm·°C) corresponds to 418.4 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 cal (th)/(s·cm·°C) = 418.4 W/(m·K)

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].

q" = k × ∇T
Vector: [W/(m·K)] × [K/m] → [W/m²]
Live Calculated Bridge Equivalent:
1 W/(m·K) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 200 W/m²
Equals 0.2 kW/m² • 63.3997 BTU/(h·ft²) • 0.00477692 cal/(s·cm²)
SI Heat Flux
200
W/m²
Watts per Square Meter
Solar / Combustion
0.2
kW/m²
Kilowatts per Square Meter
US Building Envelope
63.3997
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00477692
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.2867
Ly/min
Langley per Minute
Furnace Flux
0.0002
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 W/(m·K) × 1 = 1 W/(m·K)
  2. 2. Apply Engineering Parameter (∇T):
    Selected condition: Insulated Wall Core (20K across 0.1m = 200 K/m) at ∇T = 200 K/m
  3. 3. Execute Governing Physical Law in SI Units:
    q" = k × ∇T = (1 W/(m·K)) × (200 K/m) = 200 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 200 × 1 = 200 W/m² (Watts per Square Meter) • kW/m²: 200 × 0.001 = 0.2 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 200 × 0.317 = 63.3997 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 200 × 2.3885 × 10⁻⁵ = 0.00477692 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 200 × 0.001433 = 0.2867 Ly/min (Langley per Minute) • MW/m²: 200 × 1 × 10⁻⁶ = 0.0002 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
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Frequently Asked Questions

There are exactly 0.0023900574 calories (th)/second/centimeter/°c (cal (th)/(s·cm·°C)) in 1 watt/meter/kelvin (W/(m·K)). To calculate larger amounts manually, simply multiply your total number of watts/meter/kelvin by the conversion multiplier of 0.0023900574.

The mathematical formula to convert watts/meter/kelvin to calories (th)/second/centimeter/°c is: [value] * 0.0023900574 = calories (th)/second/centimeter/°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 calories (th)/second/centimeter/°c back to watts/meter/kelvin, you must divide your starting value by 0.0023900574. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (th)/second/centimeter/°c input field.

1 Calorie (th)/second/centimeter/°C is larger than 1 Watt/meter/kelvin. Specifically, 1 Watt/meter/kelvin equals 0.0023900574 calories (th)/second/centimeter/°c, meaning 1 Calorie (th)/second/centimeter/°C is 418.4 times larger than 1 Watt/meter/kelvin (a difference of 2.62 orders of magnitude). Expressing measurements in watts/meter/kelvin requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Watt/meter/kelvin converts to 0.0023900574 calories (th)/second/centimeter/°c. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 0.00239006 Calorie (th)/second/centimeter/°C in 1 Watt/meter/kelvin (1 W/(m·K) = 0.00239006 cal (th)/(s·cm·°C)).

To convert thermal conductivity from Watt/meter/kelvin (V(W/(m·K))) to Calorie (th)/second/centimeter/°C (V(cal (th)/(s·cm·°C))), multiply by 0.00239006: V(cal (th)/(s·cm·°C)) = V(W/(m·K)) × 0.00239006.

To perform the reverse calculation from Calorie (th)/second/centimeter/°C (V(cal (th)/(s·cm·°C))) to Watt/meter/kelvin (V(W/(m·K))), multiply by 418.4: V(W/(m·K)) = V(cal (th)/(s·cm·°C)) × 418.4.

The conversion factor 418.4 is directly derived from the definition of the thermochemical calorie (1 cal (th) = 4.184 J) scaled for length units (1 m = 100 cm), yielding 4.184 × 100 = 418.4 W/(m·K).