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Watt/meter/kelvin to Watt/meter/degree Celsius (W/(m·K) to W/(m·°C)) Converter

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Live Conversion • ISO 80000-5:2019 Certified
1 Watt/meter/kelvin = 1 Watt/meter/degree Celsius
1 W/(m·K) = 1 W/(m·°C) • 1 W/(m·°C) = 1 W/(m·K)
Watt/meter/kelvin to Watt/meter/degree Celsius: One Watt/meter/kelvin is equal to 1 Watt/meter/degree Celsius.
Certified Authority Value
1.00000000
W/(m·°C)
Exact: 1 W/(m·°C) ≡ 1 W/(m·K)
W/(m·K)
W/(m·K)
Swap to Watt/meter/degree Celsius to Watt/meter/kelvin
Swap to Watt/meter/degree Celsius to Watt/meter/kelvin
W/(m·°C)
W/(m·°C) 1
Quick Values:
Conversion Formula
To convert Watt/meter/kelvin to Watt/meter/degree Celsius, multiply by 1
W/(m·K) × 1 = W/(m·°C)

Calculation: 1 W/(m·K) × 1 = 1 W/(m·°C)

Common Watt/meter/kelvin to Watt/meter/degree Celsius Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/meter/kelvin (W/(m·K)) and Watt/meter/degree Celsius (W/(m·°C)).

Tap any row to calculate
Watt/meter/kelvin to Watt/meter/degree Celsius: Primary Direct Table (15 Steps)
Watt/meter/kelvin to Watt/meter/degree Celsius Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(m·K) 0.001 W/(m·°C) 1 × 10⁻³
0.01 W/(m·K) 0.01 W/(m·°C) 1 × 10⁻²
0.1 W/(m·K) 0.1 W/(m·°C) 1 × 10⁻¹
0.5 W/(m·K) 0.5 W/(m·°C) 5 × 10⁻¹
1 W/(m·K) 1 W/(m·°C) 1 × 10⁰
2 W/(m·K) 2 W/(m·°C) 2 × 10⁰
5 W/(m·K) 5 W/(m·°C) 5 × 10⁰
10 W/(m·K) 10 W/(m·°C) 1 × 10¹
20 W/(m·K) 20 W/(m·°C) 2 × 10¹
25 W/(m·K) 25 W/(m·°C) 2.5 × 10¹
50 W/(m·K) 50 W/(m·°C) 5 × 10¹
100 W/(m·K) 100 W/(m·°C) 1 × 10²
250 W/(m·K) 250 W/(m·°C) 2.5 × 10²
500 W/(m·K) 500 W/(m·°C) 5 × 10²
1000 W/(m·K) 1000 W/(m·°C) 1 × 10³
Watt/meter/degree Celsius to Watt/meter/kelvin: Reciprocal Summary
Watt/meter/degree Celsius to Watt/meter/kelvin Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 W/(m·°C) 1 W/(m·K) 1 × 10⁰
5 W/(m·°C) 5 W/(m·K) 5 × 10⁰
10 W/(m·°C) 10 W/(m·K) 1 × 10¹
50 W/(m·°C) 50 W/(m·K) 5 × 10¹
100 W/(m·°C) 100 W/(m·K) 1 × 10²
View Complete 15-Row Watt/meter/degree Celsius 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 Watt/meter/degree Celsius (W/(m·°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)

Watt/meter/degree Celsius References:

  • Standard thermal insulation polyurethane foam panel conductivity 0.022 W/(m·°C)
  • Common building window pane float glass thermal conductivity 0.96 W/(m·°C)

Tap any benchmark above to automatically calculate its exact equivalent in Watt/meter/degree Celsius.

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 Watt/meter/degree Celsius

Converting Watt/meter/kelvin (W/(m·K)) to Watt/meter/degree Celsius (W/(m·°C)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. Both units share an identical 1:1 scale equivalence within this physical measurement domain. They represent the exact same physical magnitude under different metrological designations or derived SI formulations (1 W/(m·K) ≡ 1 W/(m·°C)). Any quantity expressed in Watt/meter/kelvin translates directly to Watt/meter/degree Celsius without mathematical scaling.

Direct Factor1 W/(m·K) = 1 W/(m·°C)
Inverse Ratio1 W/(m·°C) = 1 W/(m·K)
Conversion Scale1:1 Direct Dimensional Identity
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 W/(m·°C) = 1 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Watt/meter/kelvin → Watt/meter/degree Celsius:V(W/(m·°C)) = V(W/(m·K)) × ( 1 / 1 ) = V(W/(m·K)) × 1
Mathematical FormulaValue in Watt/meter/degree Celsius = Value in Watt/meter/kelvin × 1Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 W/(m·K), applying the conversion factor yields exactly 8 W/(m·°C). At larger operational scale, 10000 Watt/meter/kelvin corresponds to 10000 W/(m·°C).

Inverse check: 1 W/(m·°C) = 1 W/(m·K).

Understanding Watt/meter/kelvin and Watt/meter/degree Celsius

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)

Watt/meter/degree Celsius

W/(m·°C)
Standard Unit

A Watt/meter/degree Celsius (W/(m·°C)) is a recognized unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a standard thermal insulation polyurethane foam panel conductivity equals 0.022 W/(m·°C), a common building window pane float glass thermal conductivity equals 0.96 W/(m·°C).

Physical Setup

A thermal conductivity of 1 W/(m·°C) 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·°C) = 1 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 1 watts/meter/degree celsius (W/(m·°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 1.

The mathematical formula to convert watts/meter/kelvin to watts/meter/degree celsius is: [value] * 1 = watts/meter/degree celsius. 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/meter/degree celsius back to watts/meter/kelvin, you must divide your starting value by 1. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt/meter/degree celsius input field.

1 Watt/meter/kelvin and 1 Watt/meter/degree Celsius represent the exact same physical magnitude with an identical 1:1 conversion ratio.

Under standard international measurement guidelines, 1 Watt/meter/kelvin converts to 1 watts/meter/degree celsius. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There is exactly 1 W/(m·°C) in 1 Watt/meter/kelvin (1 W/(m·K) = 1 W/(m·°C)). The numerical values are identical because a 1 K temperature differential equals a 1 °C temperature differential.

The mathematical formula for converting thermal conductivity from W/(m·K) to W/(m·°C) is a 1:1 direct identity:
V(W/(m·°C)) = V(W/(m·K)) × 1
For example, a copper thermal conductivity of 401 W/(m·K) translates directly to 401 W/(m·°C).

The reverse calculation formula is:
V(W/(m·K)) = V(W/(m·°C)) × 1
Because Kelvin and Celsius temperature differences are identical in magnitude (1 ΔK = 1 Δ°C), the coefficient remains 1.

Pure copper has a thermal conductivity of 401 W/(m·K) = 401 W/(m·°C), structural steel is approximately 50 W/(m·K) = 50 W/(m·°C), and air at standard temperature and pressure is approximately 0.026 W/(m·K) = 0.026 W/(m·°C).