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

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/second/centimeter/°C = 418.4 Watt/meter/kelvin
1 cal (th)/(s·cm·°C) = 418.4 W/(m·K) • 1 W/(m·K) = 0.00239006 cal (th)/(s·cm·°C)
Calorie (th)/second/centimeter/°C to Watt/meter/kelvin: One Calorie (th)/second/centimeter/°C is equal to 418.4 Watts/meter/kelvin.
Certified Authority Value
418.40000000
W/(m·K)
Exact: 1 W/(m·K) ≡ 0.002390057361 cal (th)/(s·cm·°C)
cal (th)/(s·cm·°C)
cal (th)/(s·cm·°C)
Swap to Watt/meter/kelvin to Calorie (th)/second/centimeter/°C
Swap to Watt/meter/kelvin to Calorie (th)/second/centimeter/°C
W/(m·K)
W/(m·K) 418.4
Quick Values:
Conversion Formula
To convert Calorie (th)/second/centimeter/°C to Watt/meter/kelvin, multiply by 418.4
cal (th)/(s·cm·°C) × 418.4 = W/(m·K)

Calculation: 1 cal (th)/(s·cm·°C) × 418.4 = 418.4 W/(m·K)

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

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

Tap any row to calculate
Calorie (th)/second/centimeter/°C to Watt/meter/kelvin: Primary Direct Table (15 Steps)
Calorie (th)/second/centimeter/°C to Watt/meter/kelvin Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(s·cm·°C) 0.4184 W/(m·K) 4.184 × 10⁻¹
0.01 cal (th)/(s·cm·°C) 4.184 W/(m·K) 4.184 × 10⁰
0.1 cal (th)/(s·cm·°C) 41.84 W/(m·K) 4.184 × 10¹
0.5 cal (th)/(s·cm·°C) 209.2 W/(m·K) 2.092 × 10²
1 cal (th)/(s·cm·°C) 418.4 W/(m·K) 4.184 × 10²
2 cal (th)/(s·cm·°C) 836.8 W/(m·K) 8.368 × 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
20 cal (th)/(s·cm·°C) 8368 W/(m·K) 8.368 × 10³
25 cal (th)/(s·cm·°C) 10460 W/(m·K) 1.046 × 10⁴
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
250 cal (th)/(s·cm·°C) 104600 W/(m·K) 1.046 × 10⁵
500 cal (th)/(s·cm·°C) 209200 W/(m·K) 2.092 × 10⁵
1000 cal (th)/(s·cm·°C) 418400 W/(m·K) 4.184 × 10⁵
Watt/meter/kelvin to Calorie (th)/second/centimeter/°C: Reciprocal Summary
Watt/meter/kelvin to Calorie (th)/second/centimeter/°C Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 W/(m·K) 0.00239006 cal (th)/(s·cm·°C) 2.39 × 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
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
View Complete 15-Row Watt/meter/kelvin to Calorie (th)/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 (th)/second/centimeter/°C (cal (th)/(s·cm·°C)) and Watt/meter/kelvin (W/(m·K)):

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

  • Pure silver metal thermal conductivity at room temperature 1.02 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)

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

Converting Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°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. Because Calorie (th)/second/centimeter/°C represents a larger magnitude than Watt/meter/kelvin, converting from cal (th)/(s·cm·°C) to W/(m·K) expands the numerical figure. Exactly 1 Calorie (th)/second/centimeter/°C encompasses 418.4 Watt/meter/kelvin. To convert any quantity, multiply the value in Calorie (th)/second/centimeter/°C by 418.4.

Direct Factor1 cal (th)/(s·cm·°C) = 418.4 W/(m·K)
Inverse Ratio1 W/(m·K) = 0.00239006 cal (th)/(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:

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)/(s·cm·°C) = 418.4 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 Calorie (th)/second/centimeter/°C → Watt/meter/kelvin:V(W/(m·K)) = V(cal (th)/(s·cm·°C)) × ( 418.4 / 1 ) = V(cal (th)/(s·cm·°C)) × 418.4
Mathematical FormulaValue in Watt/meter/kelvin = Value in Calorie (th)/second/centimeter/°C × 418.4Direct computational formula applied for standard conversion.
Worked Example

Converting 8 cal (th)/(s·cm·°C) yields an exact output of 3347.2 W/(m·K) in Watt/meter/kelvin. Under higher industrial throughput, 480 cal (th)/(s·cm·°C) translates to 200832 W/(m·K).

Inverse check: 1 W/(m·K) = 0.00239006 cal (th)/(s·cm·°C).

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

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)

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 cal (th)/(s·cm·°C) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 83680 W/m²
Equals 83.68 kW/m² • 26526.4258 BTU/(h·ft²) • 1.998662 cal/(s·cm²)
SI Heat Flux
83680
W/m²
Watts per Square Meter
Solar / Combustion
83.68
kW/m²
Kilowatts per Square Meter
US Building Envelope
26526.4258
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
1.998662
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
119.9413
Ly/min
Langley per Minute
Furnace Flux
0.08368
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 cal (th)/(s·cm·°C) × 418.4 = 418.4 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 = (418.4 W/(m·K)) × (200 K/m) = 83680 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 83680 × 1 = 83680 W/m² (Watts per Square Meter) • kW/m²: 83680 × 0.001 = 83.68 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 83680 × 0.317 = 26526.4258 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 83680 × 2.3885 × 10⁻⁵ = 1.998662 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 83680 × 0.001433 = 119.9413 Ly/min (Langley per Minute) • MW/m²: 83680 × 1 × 10⁻⁶ = 0.08368 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 418.4 watts/meter/kelvin (W/(m·K)) in 1 calorie (th)/second/centimeter/°c (cal (th)/(s·cm·°C)). To calculate larger amounts manually, simply multiply your total number of calories (th)/second/centimeter/°c by the conversion multiplier of 418.4.

The mathematical formula to convert calories (th)/second/centimeter/°c to watts/meter/kelvin is: [value] * 418.4 = 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 calories (th)/second/centimeter/°c, you must divide your starting value by 418.4. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt/meter/kelvin input field.

1 Calorie (th)/second/centimeter/°C is larger than 1 Watt/meter/kelvin. Specifically, 1 Calorie (th)/second/centimeter/°C equals exactly 418.4 watts/meter/kelvin, making it 418.4 times larger (a difference of 2.62 orders of magnitude). Therefore, quantities expressed in watts/meter/kelvin require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (th)/second/centimeter/°C converts to 418.4 watts/meter/kelvin. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

One Calorie (th)/second/centimeter/°C is equivalent to exactly 418.4 Watt/meter/kelvin. The precise dimensional ratio is 1 cal (th)/(s·cm·°C) = 418.4 W/(m·K).

To calculate the conversion from Calorie (th)/second/centimeter/°C to Watt/meter/kelvin, multiply the thermal quantity by 418.4. The equation is: V(W/(m·K)) = V(cal (th)/(s·cm·°C)) × 418.4.

To determine the corresponding value in Calorie (th)/second/centimeter/°C from Watt/meter/kelvin, multiply the metric by 0.00239006. The reverse mathematical formula is: V(cal (th)/(s·cm·°C)) = V(W/(m·K)) × 0.00239006.

Watt/meter/kelvin (W/(m·K)) is the globally accepted SI derived unit for thermal conductivity, making it the primary standard for characterizing insulation efficiency and heat transfer coefficients in thermodynamics.