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

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

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

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

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

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

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)

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

Converting Watt/meter/degree Celsius (W/(m·°C)) to Watt/meter/kelvin (W/(m·K)) 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·°C) ≡ 1 W/(m·K)). Any quantity expressed in Watt/meter/degree Celsius translates directly to Watt/meter/kelvin without mathematical scaling.

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

To convert 50 Watt/meter/degree Celsius (W/(m·°C)) to Watt/meter/kelvin (W/(m·K)): multiply 50 by 1 to get 50 W/(m·K). At an industrial engineering scale, 5000 W/(m·°C) converts to 5000 W/(m·K).

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

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

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)

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)

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·°C) 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·°C) × 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/kelvin (W/(m·K)) in 1 watt/meter/degree celsius (W/(m·°C)). To calculate larger amounts manually, simply multiply your total number of watts/meter/degree celsius by the conversion multiplier of 1.

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

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

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

There is exactly 1 W/(m·K) in 1 Watt/meter/degree Celsius (1 W/(m·°C) = 1 W/(m·K)). The SI system treats a interval step of 1 kelvin identically to 1 degree Celsius.

The conversion formula is a direct 1-to-1 ratio:
V(W/(m·K)) = V(W/(m·°C)) × 1
For example, building insulation rated at 0.035 W/(m·°C) is equal to 0.035 W/(m·K).

The reverse equation is:
V(W/(m·°C)) = V(W/(m·K)) × 1
No numerical scaling is required because 1 ΔK = 1 Δ°C.

Pyrex glass has a thermal conductivity of 1.1 W/(m·°C) = 1.1 W/(m·K), stainless steel is about 16 W/(m·°C) = 16 W/(m·K), and aluminum is approximately 237 W/(m·°C) = 237 W/(m·K).