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Btu (it) Feet/hour/sq. foot/°F to Btu (th) Inches/hour/sq. foot/°F Converter (Btu·ft/(h·ft²·°F) to Btu (th)·in/(h·ft²·°F))

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Live Conversion • ISO 80000-5:2019 Certified
1 Btu (IT) foot/hour/sq. foot/°F = 12.00803059 Btu (th) inch/hour/sq. foot/°F
1 Btu·ft/(h·ft²·°F) = 12.008031 Btu (th)·in/(h·ft²·°F) • 1 Btu (th)·in/(h·ft²·°F) = 0.0832776 Btu·ft/(h·ft²·°F)
Btu (IT) foot/hour/sq. foot/°F to Btu (th) inch/hour/sq. foot/°F: One Btu (IT) foot/hour/sq. foot/°F is equal to 12.00803059 Btu (th) Inches/hour/sq. foot/°F.
Certified Authority Value
12.00803059
Btu (th)·in/(h·ft²·°F)
Exact: 1 Btu (th)·in/(h·ft²·°F) ≡ 0.08327760262 Btu·ft/(h·ft²·°F)
Btu·ft/(h·ft²·°F)
Btu·ft/(h·ft²·°F)
Btu (th)·in/(h·ft²·°F)
Btu (th)·in/(h·ft²·°F) 12.00803059
Quick Values:
Conversion Formula
To convert Btu (IT) foot/hour/sq. foot/°F to Btu (th) inch/hour/sq. foot/°F, multiply by 12.00803059
Btu·ft/(h·ft²·°F) × 12.00803059 = Btu (th)·in/(h·ft²·°F)

Calculation: 1 Btu·ft/(h·ft²·°F) × 12.00803059 = 12.00803059 Btu (th)·in/(h·ft²·°F)

Common Btu (IT) foot/hour/sq. foot/°F to Btu (th) inch/hour/sq. foot/°F Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Btu (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)) and Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)).

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Btu (IT) foot/hour/sq. foot/°F to Btu (th) inch/hour/sq. foot/°F: Primary Direct Table (15 Steps)
Btu (IT) foot/hour/sq. foot/°F to Btu (th) inch/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu·ft/(h·ft²·°F) 0.012008 Btu (th)·in/(h·ft²·°F) 1.201 × 10⁻²
0.01 Btu·ft/(h·ft²·°F) 0.12008 Btu (th)·in/(h·ft²·°F) 1.201 × 10⁻¹
0.1 Btu·ft/(h·ft²·°F) 1.200803 Btu (th)·in/(h·ft²·°F) 1.201 × 10⁰
0.5 Btu·ft/(h·ft²·°F) 6.004015 Btu (th)·in/(h·ft²·°F) 6.004 × 10⁰
1 Btu·ft/(h·ft²·°F) 12.008031 Btu (th)·in/(h·ft²·°F) 1.201 × 10¹
2 Btu·ft/(h·ft²·°F) 24.016061 Btu (th)·in/(h·ft²·°F) 2.402 × 10¹
5 Btu·ft/(h·ft²·°F) 60.040153 Btu (th)·in/(h·ft²·°F) 6.004 × 10¹
10 Btu·ft/(h·ft²·°F) 120.080306 Btu (th)·in/(h·ft²·°F) 1.201 × 10²
20 Btu·ft/(h·ft²·°F) 240.160612 Btu (th)·in/(h·ft²·°F) 2.402 × 10²
25 Btu·ft/(h·ft²·°F) 300.200765 Btu (th)·in/(h·ft²·°F) 3.002 × 10²
50 Btu·ft/(h·ft²·°F) 600.40153 Btu (th)·in/(h·ft²·°F) 6.004 × 10²
100 Btu·ft/(h·ft²·°F) 1200.803059 Btu (th)·in/(h·ft²·°F) 1.201 × 10³
250 Btu·ft/(h·ft²·°F) 3002.007648 Btu (th)·in/(h·ft²·°F) 3.002 × 10³
500 Btu·ft/(h·ft²·°F) 6004.015296 Btu (th)·in/(h·ft²·°F) 6.004 × 10³
1000 Btu·ft/(h·ft²·°F) 12008.030593 Btu (th)·in/(h·ft²·°F) 1.201 × 10⁴
Btu (th) inch/hour/sq. foot/°F to Btu (IT) foot/hour/sq. foot/°F: Reciprocal Summary
Btu (th) inch/hour/sq. foot/°F to Btu (IT) foot/hour/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)·in/(h·ft²·°F) 0.0832776 Btu·ft/(h·ft²·°F) 8.328 × 10⁻²
5 Btu (th)·in/(h·ft²·°F) 0.416388 Btu·ft/(h·ft²·°F) 4.164 × 10⁻¹
10 Btu (th)·in/(h·ft²·°F) 0.832776 Btu·ft/(h·ft²·°F) 8.328 × 10⁻¹
50 Btu (th)·in/(h·ft²·°F) 4.16388 Btu·ft/(h·ft²·°F) 4.164 × 10⁰
100 Btu (th)·in/(h·ft²·°F) 8.32776 Btu·ft/(h·ft²·°F) 8.328 × 10⁰

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) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)) and Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)):

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

  • Liquid water thermal conductivity in cooling tower systems 0.35 Btu·ft/(h·ft²·°F)
  • Standard architectural building window float glass panel 0.55 Btu·ft/(h·ft²·°F)
  • Cast aluminum automotive engine cylinder head material 120 Btu·ft/(h·ft²·°F)

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

  • Rigid extruded polystyrene XPS foam thermal insulation panel 0.2 Btu (th)·in/(h·ft²·°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 Btu (IT) foot/hour/sq. foot/°F to Btu (th) inch/hour/sq. foot/°F

Converting Btu (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)) 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 Btu (IT) foot/hour/sq. foot/°F equals 12.008031 Btu (th) inch/hour/sq. foot/°F, while 1 Btu (th)·in/(h·ft²·°F) equals 0.0832776 Btu·ft/(h·ft²·°F).

Direct Factor1 Btu·ft/(h·ft²·°F) = 12.008031 Btu (th)·in/(h·ft²·°F)
Inverse Ratio1 Btu (th)·in/(h·ft²·°F) = 0.0832776 Btu·ft/(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·ft/(h·ft²·°F) = 1.730735 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 Btu (IT) foot/hour/sq. foot/°F → Btu (th) inch/hour/sq. foot/°F:V(Btu (th)·in/(h·ft²·°F)) = V(Btu·ft/(h·ft²·°F)) × ( 1.730735 / 0.144131 ) = V(Btu·ft/(h·ft²·°F)) × 12.008031
Mathematical FormulaValue in Btu (th) inch/hour/sq. foot/°F = Value in Btu (IT) foot/hour/sq. foot/°F × 12.00803059Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 Btu·ft/(h·ft²·°F), applying the conversion factor yields exactly 3002.007648 Btu (th)·in/(h·ft²·°F). At larger operational scale, 480 Btu (IT) foot/hour/sq. foot/°F corresponds to 5763.854685 Btu (th)·in/(h·ft²·°F).

Inverse check: 1 Btu (th)·in/(h·ft²·°F) = 0.0832776 Btu·ft/(h·ft²·°F).

Understanding Btu (IT) foot/hour/sq. foot/°F and Btu (th) inch/hour/sq. foot/°F

Btu (IT) foot/hour/sq. foot/°F

Btu·ft/(h·ft²·°F)
Imperial / US

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

Applications & Practical Context

In practical thermal conductivity terms, a liquid water thermal conductivity in cooling tower systems equals 0.35 Btu·ft/(h·ft²·°F), a standard architectural building window float glass panel equals 0.55 Btu·ft/(h·ft²·°F), a cast aluminum automotive engine cylinder head material equals 120 Btu·ft/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu·ft/(h·ft²·°F) corresponds to 1.730735 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu·ft/(h·ft²·°F) = 1.730735 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 Btu·ft/(h·ft²·°F) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 346.1469 W/m²
Equals 0.3461 kW/m² • 109.728 BTU/(h·ft²) • 0.00826758 cal/(s·cm²)
SI Heat Flux
346.1469
W/m²
Watts per Square Meter
Solar / Combustion
0.3461
kW/m²
Kilowatts per Square Meter
US Building Envelope
109.728
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00826758
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.4961
Ly/min
Langley per Minute
Furnace Flux
0.00034615
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 Btu·ft/(h·ft²·°F) × 1.73073467 = 1.73073467 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 = (1.73073467 W/(m·K)) × (200 K/m) = 346.146933 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 346.146933 × 1 = 346.1469 W/m² (Watts per Square Meter) • kW/m²: 346.146933 × 0.001 = 0.3461 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 346.146933 × 0.317 = 109.728 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 346.146933 × 2.3885 × 10⁻⁵ = 0.00826758 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 346.146933 × 0.001433 = 0.4961 Ly/min (Langley per Minute) • MW/m²: 346.146933 × 1 × 10⁻⁶ = 0.00034615 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 12.00803059 btu (th) inches/hour/sq. foot/°f (Btu (th)·in/(h·ft²·°F)) in 1 btu (it) foot/hour/sq. foot/°f (Btu·ft/(h·ft²·°F)). To calculate larger amounts manually, simply multiply your total number of btu (it) feet/hour/sq. foot/°f by the conversion multiplier of 12.00803059.

The mathematical formula to convert btu (it) feet/hour/sq. foot/°f to btu (th) inches/hour/sq. foot/°f is: [value] * 12.00803059 = 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 btu (it) feet/hour/sq. foot/°f, you must divide your starting value by 12.00803059. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th) inch/hour/sq. foot/°f input field.

1 Btu (IT) foot/hour/sq. foot/°F is larger than 1 Btu (th) inch/hour/sq. foot/°F. Specifically, 1 Btu (IT) foot/hour/sq. foot/°F equals exactly 12.00803059 btu (th) inches/hour/sq. foot/°f, making it 12.008 times larger (a difference of 1.08 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 Btu (IT) foot/hour/sq. foot/°F converts to 12.00803059 btu (th) inches/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.