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Calories (th)/second/centimeter/°C to Btu (th) Inches/hour/sq. foot/°F Converter (cal (th)/(s·cm·°C) to Btu (th)·in/(h·ft²·°F))

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/second/centimeter/°C = 2902.9059726 Btu (th) inch/hour/sq. foot/°F
1 cal (th)/(s·cm·°C) = 2902.905973 Btu (th)·in/(h·ft²·°F) • 1 Btu (th)·in/(h·ft²·°F) = 0.000344482 cal (th)/(s·cm·°C)
Calorie (th)/second/centimeter/°C to Btu (th) inch/hour/sq. foot/°F: One Calorie (th)/second/centimeter/°C is equal to 2902.9059726 Btu (th) Inches/hour/sq. foot/°F.
Certified Authority Value
2902.90597260
Btu (th)·in/(h·ft²·°F)
Exact: 1 Btu (th)·in/(h·ft²·°F) ≡ 0.0003444823943 cal (th)/(s·cm·°C)
cal (th)/(s·cm·°C)
cal (th)/(s·cm·°C)
Swap to Btu (th) inch/hour/sq. foot/°F to Calorie (th)/second/centimeter/°C
Swap to Btu (th) inch/hour/sq. foot/°F to Calorie (th)/second/centimeter/°C
Btu (th)·in/(h·ft²·°F)
Btu (th)·in/(h·ft²·°F) 2902.9059726
Quick Values:
Conversion Formula
To convert Calorie (th)/second/centimeter/°C to Btu (th) inch/hour/sq. foot/°F, multiply by 2902.9059726
cal (th)/(s·cm·°C) × 2902.9059726 = Btu (th)·in/(h·ft²·°F)

Calculation: 1 cal (th)/(s·cm·°C) × 2902.9059726 = 2902.9059726 Btu (th)·in/(h·ft²·°F)

Common Calorie (th)/second/centimeter/°C to Btu (th) inch/hour/sq. foot/°F Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°C)) and Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)).

Tap any row to calculate
Calorie (th)/second/centimeter/°C to Btu (th) inch/hour/sq. foot/°F: Primary Direct Table (15 Steps)
Calorie (th)/second/centimeter/°C to Btu (th) inch/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(s·cm·°C) 2.902906 Btu (th)·in/(h·ft²·°F) 2.903 × 10⁰
0.01 cal (th)/(s·cm·°C) 29.02906 Btu (th)·in/(h·ft²·°F) 2.903 × 10¹
0.1 cal (th)/(s·cm·°C) 290.290597 Btu (th)·in/(h·ft²·°F) 2.903 × 10²
0.5 cal (th)/(s·cm·°C) 1451.452986 Btu (th)·in/(h·ft²·°F) 1.451 × 10³
1 cal (th)/(s·cm·°C) 2902.905973 Btu (th)·in/(h·ft²·°F) 2.903 × 10³
2 cal (th)/(s·cm·°C) 5805.811945 Btu (th)·in/(h·ft²·°F) 5.806 × 10³
5 cal (th)/(s·cm·°C) 14514.529863 Btu (th)·in/(h·ft²·°F) 1.451 × 10⁴
10 cal (th)/(s·cm·°C) 29029.059726 Btu (th)·in/(h·ft²·°F) 2.903 × 10⁴
20 cal (th)/(s·cm·°C) 58058.119452 Btu (th)·in/(h·ft²·°F) 5.806 × 10⁴
25 cal (th)/(s·cm·°C) 72572.649315 Btu (th)·in/(h·ft²·°F) 7.257 × 10⁴
50 cal (th)/(s·cm·°C) 145145.29863 Btu (th)·in/(h·ft²·°F) 1.451 × 10⁵
100 cal (th)/(s·cm·°C) 290290.59726 Btu (th)·in/(h·ft²·°F) 2.903 × 10⁵
250 cal (th)/(s·cm·°C) 725726.493151 Btu (th)·in/(h·ft²·°F) 7.257 × 10⁵
500 cal (th)/(s·cm·°C) 1451452.986301 Btu (th)·in/(h·ft²·°F) 1.451 × 10⁶
1000 cal (th)/(s·cm·°C) 2902905.972603 Btu (th)·in/(h·ft²·°F) 2.903 × 10⁶
Btu (th) inch/hour/sq. foot/°F to Calorie (th)/second/centimeter/°C: Reciprocal Summary
Btu (th) inch/hour/sq. foot/°F to Calorie (th)/second/centimeter/°C Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)·in/(h·ft²·°F) 0.000344482 cal (th)/(s·cm·°C) 3.445 × 10⁻⁴
5 Btu (th)·in/(h·ft²·°F) 0.00172241 cal (th)/(s·cm·°C) 1.722 × 10⁻³
10 Btu (th)·in/(h·ft²·°F) 0.00344482 cal (th)/(s·cm·°C) 3.445 × 10⁻³
50 Btu (th)·in/(h·ft²·°F) 0.0172241 cal (th)/(s·cm·°C) 1.722 × 10⁻²
100 Btu (th)·in/(h·ft²·°F) 0.0344482 cal (th)/(s·cm·°C) 3.445 × 10⁻²
View Complete 15-Row Btu (th) inch/hour/sq. foot/°F 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 Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)):

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

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

Btu (th) inch/hour/sq. foot/°F References:

  • Rigid extruded polystyrene XPS foam thermal insulation panel 0.2 Btu (th)·in/(h·ft²·°F)

Tap any benchmark above to automatically calculate its exact equivalent in Btu (th) inch/hour/sq. foot/°F.

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 Btu (th) inch/hour/sq. foot/°F

Converting Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°C)) to Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Calorie (th)/second/centimeter/°C equals 2902.905973 Btu (th) inch/hour/sq. foot/°F, while 1 Btu (th)·in/(h·ft²·°F) equals 0.000344482 cal (th)/(s·cm·°C).

Direct Factor1 cal (th)/(s·cm·°C) = 2902.905973 Btu (th)·in/(h·ft²·°F)
Inverse Ratio1 Btu (th)·in/(h·ft²·°F) = 0.000344482 cal (th)/(s·cm·°C)
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
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 Btu (th)·in/(h·ft²·°F) = 0.144131 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Calorie (th)/second/centimeter/°C → Btu (th) inch/hour/sq. foot/°F:V(Btu (th)·in/(h·ft²·°F)) = V(cal (th)/(s·cm·°C)) × ( 418.4 / 0.144131 ) = V(cal (th)/(s·cm·°C)) × 2902.905973
Mathematical FormulaValue in Btu (th) inch/hour/sq. foot/°F = Value in Calorie (th)/second/centimeter/°C × 2902.9059726Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Calorie (th)/second/centimeter/°C (cal (th)/(s·cm·°C)) to Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)): multiply 2.5 by 2902.905973 to get 7257.264932 Btu (th)·in/(h·ft²·°F). At an industrial engineering scale, 100 cal (th)/(s·cm·°C) converts to 290290.59726 Btu (th)·in/(h·ft²·°F).

Inverse check: 1 Btu (th)·in/(h·ft²·°F) = 0.000344482 cal (th)/(s·cm·°C).

Understanding Calorie (th)/second/centimeter/°C and Btu (th) inch/hour/sq. foot/°F

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)

Btu (th) inch/hour/sq. foot/°F

Btu (th)·in/(h·ft²·°F)
Imperial / US

A Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)) is an imperial and US customary unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a rigid extruded polystyrene XPS foam thermal insulation panel equals 0.2 Btu (th)·in/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu (th)·in/(h·ft²·°F) corresponds to 0.144131 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu (th)·in/(h·ft²·°F) = 0.144131 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 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 2902.9059726 btu (th) inches/hour/sq. foot/°f (Btu (th)·in/(h·ft²·°F)) 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 2902.9059726.

The mathematical formula to convert calories (th)/second/centimeter/°c to btu (th) inches/hour/sq. foot/°f is: [value] * 2902.9059726 = btu (th) inches/hour/sq. foot/°f. 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 btu (th) inches/hour/sq. foot/°f back to calories (th)/second/centimeter/°c, you must divide your starting value by 2902.9059726. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th) inch/hour/sq. foot/°f input field.

1 Calorie (th)/second/centimeter/°C is larger than 1 Btu (th) inch/hour/sq. foot/°F. Specifically, 1 Calorie (th)/second/centimeter/°C equals exactly 2902.9059726 btu (th) inches/hour/sq. foot/°f, making it 2902.906 times larger (a difference of 3.46 orders of magnitude). Therefore, quantities expressed in btu (th) inches/hour/sq. foot/°f require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (th)/second/centimeter/°C converts to 2902.9059726 btu (th) inches/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.