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

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1 Btu (IT) inch/hour/sq. foot/°F = 0.00034448239 Calorie (IT)/second/centimeter/°C
1 Btu·in/(h·ft²·°F) = 0.000344482 cal/(s·cm·°C) • 1 cal/(s·cm·°C) = 2902.905973 Btu·in/(h·ft²·°F)
Btu (IT) inch/hour/sq. foot/°F to Calorie (IT)/second/centimeter/°C: One Btu (IT) inch/hour/sq. foot/°F is equal to 0.00034448239 Calories (it)/second/centimeter/°C.
Certified Authority Value
0.00034448
cal/(s·cm·°C)
Exact: 1 cal/(s·cm·°C) ≡ 2902.9059726027 Btu·in/(h·ft²·°F)
Btu·in/(h·ft²·°F)
Btu·in/(h·ft²·°F)
cal/(s·cm·°C)
cal/(s·cm·°C) 0.00034448239
Quick Values:
Conversion Formula
To convert Btu (IT) inch/hour/sq. foot/°F to Calorie (IT)/second/centimeter/°C, multiply by 0.00034448239
Btu·in/(h·ft²·°F) × 0.00034448239 = cal/(s·cm·°C)

Calculation: 1 Btu·in/(h·ft²·°F) × 0.00034448239 = 0.00034448239 cal/(s·cm·°C)

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

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

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Btu (IT) inch/hour/sq. foot/°F to Calorie (IT)/second/centimeter/°C: Primary Direct Table (15 Steps)
Btu (IT) inch/hour/sq. foot/°F to Calorie (IT)/second/centimeter/°C Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu·in/(h·ft²·°F) 3.444824 × 10⁻⁷ cal/(s·cm·°C) 3.445 × 10⁻⁷
0.01 Btu·in/(h·ft²·°F) 3.444824 × 10⁻⁶ cal/(s·cm·°C) 3.445 × 10⁻⁶
0.1 Btu·in/(h·ft²·°F) 3.444824 × 10⁻⁵ cal/(s·cm·°C) 3.445 × 10⁻⁵
0.5 Btu·in/(h·ft²·°F) 0.000172241 cal/(s·cm·°C) 1.722 × 10⁻⁴
1 Btu·in/(h·ft²·°F) 0.000344482 cal/(s·cm·°C) 3.445 × 10⁻⁴
2 Btu·in/(h·ft²·°F) 0.000688965 cal/(s·cm·°C) 6.89 × 10⁻⁴
5 Btu·in/(h·ft²·°F) 0.00172241 cal/(s·cm·°C) 1.722 × 10⁻³
10 Btu·in/(h·ft²·°F) 0.00344482 cal/(s·cm·°C) 3.445 × 10⁻³
20 Btu·in/(h·ft²·°F) 0.00688965 cal/(s·cm·°C) 6.89 × 10⁻³
25 Btu·in/(h·ft²·°F) 0.00861206 cal/(s·cm·°C) 8.612 × 10⁻³
50 Btu·in/(h·ft²·°F) 0.0172241 cal/(s·cm·°C) 1.722 × 10⁻²
100 Btu·in/(h·ft²·°F) 0.0344482 cal/(s·cm·°C) 3.445 × 10⁻²
250 Btu·in/(h·ft²·°F) 0.0861206 cal/(s·cm·°C) 8.612 × 10⁻²
500 Btu·in/(h·ft²·°F) 0.172241 cal/(s·cm·°C) 1.722 × 10⁻¹
1000 Btu·in/(h·ft²·°F) 0.344482 cal/(s·cm·°C) 3.445 × 10⁻¹
Calorie (IT)/second/centimeter/°C to Btu (IT) inch/hour/sq. foot/°F: Reciprocal Summary
Calorie (IT)/second/centimeter/°C to Btu (IT) inch/hour/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal/(s·cm·°C) 2902.905973 Btu·in/(h·ft²·°F) 2.903 × 10³
5 cal/(s·cm·°C) 14514.529863 Btu·in/(h·ft²·°F) 1.451 × 10⁴
10 cal/(s·cm·°C) 29029.059726 Btu·in/(h·ft²·°F) 2.903 × 10⁴
50 cal/(s·cm·°C) 145145.29863 Btu·in/(h·ft²·°F) 1.451 × 10⁵
100 cal/(s·cm·°C) 290290.59726 Btu·in/(h·ft²·°F) 2.903 × 10⁵

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 Btu (IT) inch/hour/sq. foot/°F (Btu·in/(h·ft²·°F)) and Calorie (IT)/second/centimeter/°C (cal/(s·cm·°C)):

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

  • Residential fiberglass batt thermal wall insulation (R-13) 0.28 Btu·in/(h·ft²·°F)
  • Dry kiln-seasoned softwood framing lumber stud conductivity 0.85 Btu·in/(h·ft²·°F)
  • Standard gypsum drywall interior plasterboard panel 1.1 Btu·in/(h·ft²·°F)

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

  • High-purity electrical copper metal thermal conductor at 20°C 0.95 cal/(s·cm·°C)
  • Commercial aluminum metal heat sink thermal conductivity 0.5 cal/(s·cm·°C)
  • Freshwater lake surface ice thermal conductivity at 0°C 0.0053 cal/(s·cm·°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 Btu (IT) inch/hour/sq. foot/°F to Calorie (IT)/second/centimeter/°C

Converting Btu (IT) inch/hour/sq. foot/°F (Btu·in/(h·ft²·°F)) to Calorie (IT)/second/centimeter/°C (cal/(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. 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 Btu (IT) inch/hour/sq. foot/°F equals 0.000344482 Calorie (IT)/second/centimeter/°C, while 1 cal/(s·cm·°C) equals 2902.905973 Btu·in/(h·ft²·°F).

Direct Factor1 Btu·in/(h·ft²·°F) = 0.000344482 cal/(s·cm·°C)
Inverse Ratio1 cal/(s·cm·°C) = 2902.905973 Btu·in/(h·ft²·°F)
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 Btu·in/(h·ft²·°F) = 0.144228 watt per meter kelvin (W/(m·K))
2. Target SI Bridge (ktarget):1 cal/(s·cm·°C) = 418.68 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Btu (IT) inch/hour/sq. foot/°F → Calorie (IT)/second/centimeter/°C:V(cal/(s·cm·°C)) = V(Btu·in/(h·ft²·°F)) × ( 0.144228 / 418.68 ) = V(Btu·in/(h·ft²·°F)) × 0.000344482
Mathematical FormulaValue in Calorie (IT)/second/centimeter/°C = Value in Btu (IT) inch/hour/sq. foot/°F × 0.00034448239Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 Btu·in/(h·ft²·°F), applying the conversion factor yields exactly 0.0861206 cal/(s·cm·°C). At larger operational scale, 5000 Btu (IT) inch/hour/sq. foot/°F corresponds to 1.722412 cal/(s·cm·°C).

Inverse check: 1 cal/(s·cm·°C) = 2902.905973 Btu·in/(h·ft²·°F).

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

Btu (IT) inch/hour/sq. foot/°F

Btu·in/(h·ft²·°F)
Imperial / US

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

Applications & Practical Context

In practical thermal conductivity terms, a residential fiberglass batt thermal wall insulation (R-13) equals 0.28 Btu·in/(h·ft²·°F), a dry kiln-seasoned softwood framing lumber stud conductivity equals 0.85 Btu·in/(h·ft²·°F), a standard gypsum drywall interior plasterboard panel equals 1.1 Btu·in/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu·in/(h·ft²·°F) corresponds to 0.144228 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu·in/(h·ft²·°F) = 0.144228 W/(m·K)

Calorie (IT)/second/centimeter/°C

cal/(s·cm·°C)
Standard Unit

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

Applications & Practical Context

In practical thermal conductivity terms, a high-purity electrical copper metal thermal conductor at 20°C equals 0.95 cal/(s·cm·°C), a commercial aluminum metal heat sink thermal conductivity equals 0.5 cal/(s·cm·°C), a freshwater lake surface ice thermal conductivity at 0°C equals 0.0053 cal/(s·cm·°C).

Physical Setup

A physical magnitude of 1 cal/(s·cm·°C) corresponds to 418.68 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 cal/(s·cm·°C) = 418.68 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 Btu·in/(h·ft²·°F) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 28.8456 W/m²
Equals 0.02885 kW/m² • 9.144 BTU/(h·ft²) • 0.00068896 cal/(s·cm²)
SI Heat Flux
28.8456
W/m²
Watts per Square Meter
Solar / Combustion
0.02885
kW/m²
Kilowatts per Square Meter
US Building Envelope
9.144
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00068896
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.04135
Ly/min
Langley per Minute
Furnace Flux
2.884558 × 10⁻⁵
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 Btu·in/(h·ft²·°F) × 0.14422789 = 0.14422789 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 = (0.14422789 W/(m·K)) × (200 K/m) = 28.845578 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 28.845578 × 1 = 28.8456 W/m² (Watts per Square Meter) • kW/m²: 28.845578 × 0.001 = 0.02885 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 28.845578 × 0.317 = 9.144 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 28.845578 × 2.3885 × 10⁻⁵ = 0.00068896 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 28.845578 × 0.001433 = 0.04135 Ly/min (Langley per Minute) • MW/m²: 28.845578 × 1 × 10⁻⁶ = 2.884558 × 10⁻⁵ 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 0.00034448239 calories (it)/second/centimeter/°c (cal/(s·cm·°C)) in 1 btu (it) inch/hour/sq. foot/°f (Btu·in/(h·ft²·°F)). To calculate larger amounts manually, simply multiply your total number of btu (it) inches/hour/sq. foot/°f by the conversion multiplier of 0.00034448239.

The mathematical formula to convert btu (it) inches/hour/sq. foot/°f to calories (it)/second/centimeter/°c is: [value] * 0.00034448239 = calories (it)/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 (it)/second/centimeter/°c back to btu (it) inches/hour/sq. foot/°f, you must divide your starting value by 0.00034448239. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (it)/second/centimeter/°c input field.

1 Calorie (IT)/second/centimeter/°C is larger than 1 Btu (IT) inch/hour/sq. foot/°F. Specifically, 1 Btu (IT) inch/hour/sq. foot/°F equals 0.00034448239 calories (it)/second/centimeter/°c, meaning 1 Calorie (IT)/second/centimeter/°C is 2902.906 times larger than 1 Btu (IT) inch/hour/sq. foot/°F (a difference of 3.46 orders of magnitude). Expressing measurements in btu (it) inches/hour/sq. foot/°f requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Btu (IT) inch/hour/sq. foot/°F converts to 0.00034448239 calories (it)/second/centimeter/°c. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.