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

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Live Conversion • ISO 80000-5:2019 Certified
1 Btu (th) foot/hour/sq. foot/°F = 0.0033311041 Btu (IT) inch/second/sq. foot/°F
1 Btu (th)·ft/(h·ft²·°F) = 0.0033311 Btu·in/(s·ft²·°F) • 1 Btu·in/(s·ft²·°F) = 300.200765 Btu (th)·ft/(h·ft²·°F)
Btu (th) foot/hour/sq. foot/°F to Btu (IT) inch/second/sq. foot/°F: One Btu (th) foot/hour/sq. foot/°F is equal to 0.0033311041 Btu (it) Inches/second/sq. foot/°F.
Certified Authority Value
0.00333110
Btu·in/(s·ft²·°F)
Exact: 1 Btu·in/(s·ft²·°F) ≡ 300.2007648184 Btu (th)·ft/(h·ft²·°F)
Btu (th)·ft/(h·ft²·°F)
Btu (th)·ft/(h·ft²·°F)
Swap to Btu (IT) inch/second/sq. foot/°F to Btu (th) foot/hour/sq. foot/°F
Swap to Btu (IT) inch/second/sq. foot/°F to Btu (th) foot/hour/sq. foot/°F
Btu·in/(s·ft²·°F)
Btu·in/(s·ft²·°F) 0.0033311041
Quick Values:
Conversion Formula
To convert Btu (th) foot/hour/sq. foot/°F to Btu (IT) inch/second/sq. foot/°F, multiply by 0.0033311041
Btu (th)·ft/(h·ft²·°F) × 0.0033311041 = Btu·in/(s·ft²·°F)

Calculation: 1 Btu (th)·ft/(h·ft²·°F) × 0.0033311041 = 0.0033311041 Btu·in/(s·ft²·°F)

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

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

Tap any row to calculate
Btu (th) foot/hour/sq. foot/°F to Btu (IT) inch/second/sq. foot/°F: Primary Direct Table (15 Steps)
Btu (th) foot/hour/sq. foot/°F to Btu (IT) inch/second/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu (th)·ft/(h·ft²·°F) 3.331104 × 10⁻⁶ Btu·in/(s·ft²·°F) 3.331 × 10⁻⁶
0.01 Btu (th)·ft/(h·ft²·°F) 3.331104 × 10⁻⁵ Btu·in/(s·ft²·°F) 3.331 × 10⁻⁵
0.1 Btu (th)·ft/(h·ft²·°F) 0.00033311 Btu·in/(s·ft²·°F) 3.331 × 10⁻⁴
0.5 Btu (th)·ft/(h·ft²·°F) 0.00166555 Btu·in/(s·ft²·°F) 1.666 × 10⁻³
1 Btu (th)·ft/(h·ft²·°F) 0.0033311 Btu·in/(s·ft²·°F) 3.331 × 10⁻³
2 Btu (th)·ft/(h·ft²·°F) 0.00666221 Btu·in/(s·ft²·°F) 6.662 × 10⁻³
5 Btu (th)·ft/(h·ft²·°F) 0.0166555 Btu·in/(s·ft²·°F) 1.666 × 10⁻²
10 Btu (th)·ft/(h·ft²·°F) 0.033311 Btu·in/(s·ft²·°F) 3.331 × 10⁻²
20 Btu (th)·ft/(h·ft²·°F) 0.0666221 Btu·in/(s·ft²·°F) 6.662 × 10⁻²
25 Btu (th)·ft/(h·ft²·°F) 0.0832776 Btu·in/(s·ft²·°F) 8.328 × 10⁻²
50 Btu (th)·ft/(h·ft²·°F) 0.166555 Btu·in/(s·ft²·°F) 1.666 × 10⁻¹
100 Btu (th)·ft/(h·ft²·°F) 0.33311 Btu·in/(s·ft²·°F) 3.331 × 10⁻¹
250 Btu (th)·ft/(h·ft²·°F) 0.832776 Btu·in/(s·ft²·°F) 8.328 × 10⁻¹
500 Btu (th)·ft/(h·ft²·°F) 1.665552 Btu·in/(s·ft²·°F) 1.666 × 10⁰
1000 Btu (th)·ft/(h·ft²·°F) 3.331104 Btu·in/(s·ft²·°F) 3.331 × 10⁰
Btu (IT) inch/second/sq. foot/°F to Btu (th) foot/hour/sq. foot/°F: Reciprocal Summary
Btu (IT) inch/second/sq. foot/°F to Btu (th) foot/hour/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu·in/(s·ft²·°F) 300.200765 Btu (th)·ft/(h·ft²·°F) 3.002 × 10²
5 Btu·in/(s·ft²·°F) 1501.003824 Btu (th)·ft/(h·ft²·°F) 1.501 × 10³
10 Btu·in/(s·ft²·°F) 3002.007648 Btu (th)·ft/(h·ft²·°F) 3.002 × 10³
50 Btu·in/(s·ft²·°F) 15010.038241 Btu (th)·ft/(h·ft²·°F) 1.501 × 10⁴
100 Btu·in/(s·ft²·°F) 30020.076482 Btu (th)·ft/(h·ft²·°F) 3.002 × 10⁴
View Complete 15-Row Btu (IT) inch/second/sq. foot/°F to Btu (th) foot/hour/sq. foot/°F 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 Btu (th) foot/hour/sq. foot/°F (Btu (th)·ft/(h·ft²·°F)) and Btu (IT) inch/second/sq. foot/°F (Btu·in/(s·ft²·°F)):

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

  • Commercial carbon structural steel beam thermal conductivity 26 Btu (th)·ft/(h·ft²·°F)

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

  • Aerospace heat exchanger copper-alloy thermal conductor 0.077 Btu·in/(s·ft²·°F)

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

Converting Btu (th) foot/hour/sq. foot/°F (Btu (th)·ft/(h·ft²·°F)) to Btu (IT) inch/second/sq. foot/°F (Btu·in/(s·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 (th) foot/hour/sq. foot/°F equals 0.0033311 Btu (IT) inch/second/sq. foot/°F, while 1 Btu·in/(s·ft²·°F) equals 300.200765 Btu (th)·ft/(h·ft²·°F).

Direct Factor1 Btu (th)·ft/(h·ft²·°F) = 0.0033311 Btu·in/(s·ft²·°F)
Inverse Ratio1 Btu·in/(s·ft²·°F) = 300.200765 Btu (th)·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 (th)·ft/(h·ft²·°F) = 1.729577 watt per meter kelvin (W/(m·K))
2. Target SI Bridge (ktarget):1 Btu·in/(s·ft²·°F) = 519.2204 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Btu (th) foot/hour/sq. foot/°F → Btu (IT) inch/second/sq. foot/°F:V(Btu·in/(s·ft²·°F)) = V(Btu (th)·ft/(h·ft²·°F)) × ( 1.729577 / 519.2204 ) = V(Btu (th)·ft/(h·ft²·°F)) × 0.0033311
Mathematical FormulaValue in Btu (IT) inch/second/sq. foot/°F = Value in Btu (th) foot/hour/sq. foot/°F × 0.0033311041Direct computational formula applied for standard conversion.
Worked Example

Converting 8 Btu (th)·ft/(h·ft²·°F) yields an exact output of 0.0266488 Btu·in/(s·ft²·°F) in Btu (IT) inch/second/sq. foot/°F. Under higher industrial throughput, 100 Btu (th)·ft/(h·ft²·°F) translates to 0.33311 Btu·in/(s·ft²·°F).

Inverse check: 1 Btu·in/(s·ft²·°F) = 300.200765 Btu (th)·ft/(h·ft²·°F).

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

Btu (th) foot/hour/sq. foot/°F

Btu (th)·ft/(h·ft²·°F)
Imperial / US

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

Applications & Practical Context

In practical thermal conductivity terms, a commercial carbon structural steel beam thermal conductivity equals 26 Btu (th)·ft/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu (th)·ft/(h·ft²·°F) corresponds to 1.729577 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu (th)·ft/(h·ft²·°F) = 1.729577 W/(m·K)

Btu (IT) inch/second/sq. foot/°F

Btu·in/(s·ft²·°F)
Imperial / US

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

Applications & Practical Context

In practical thermal conductivity terms, a aerospace heat exchanger copper-alloy thermal conductor equals 0.077 Btu·in/(s·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu·in/(s·ft²·°F) corresponds to 519.2204 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu·in/(s·ft²·°F) = 519.2204 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 (th)·ft/(h·ft²·°F) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 345.9154 W/m²
Equals 0.3459 kW/m² • 109.6546 BTU/(h·ft²) • 0.00826205 cal/(s·cm²)
SI Heat Flux
345.9154
W/m²
Watts per Square Meter
Solar / Combustion
0.3459
kW/m²
Kilowatts per Square Meter
US Building Envelope
109.6546
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00826205
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.4958
Ly/min
Langley per Minute
Furnace Flux
0.00034592
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 Btu (th)·ft/(h·ft²·°F) × 1.72957721 = 1.72957721 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 = (1.72957721 W/(m·K)) × (200 K/m) = 345.915441 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 345.915441 × 1 = 345.9154 W/m² (Watts per Square Meter) • kW/m²: 345.915441 × 0.001 = 0.3459 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 345.915441 × 0.317 = 109.6546 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 345.915441 × 2.3885 × 10⁻⁵ = 0.00826205 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 345.915441 × 0.001433 = 0.4958 Ly/min (Langley per Minute) • MW/m²: 345.915441 × 1 × 10⁻⁶ = 0.00034592 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 0.0033311041 btu (it) inches/second/sq. foot/°f (Btu·in/(s·ft²·°F)) in 1 btu (th) foot/hour/sq. foot/°f (Btu (th)·ft/(h·ft²·°F)). To calculate larger amounts manually, simply multiply your total number of btu (th) feet/hour/sq. foot/°f by the conversion multiplier of 0.0033311041.

The mathematical formula to convert btu (th) feet/hour/sq. foot/°f to btu (it) inches/second/sq. foot/°f is: [value] * 0.0033311041 = btu (it) inches/second/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 (it) inches/second/sq. foot/°f back to btu (th) feet/hour/sq. foot/°f, you must divide your starting value by 0.0033311041. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (it) inch/second/sq. foot/°f input field.

1 Btu (IT) inch/second/sq. foot/°F is larger than 1 Btu (th) foot/hour/sq. foot/°F. Specifically, 1 Btu (th) foot/hour/sq. foot/°F equals 0.0033311041 btu (it) inches/second/sq. foot/°f, meaning 1 Btu (IT) inch/second/sq. foot/°F is 300.2008 times larger than 1 Btu (th) foot/hour/sq. foot/°F (a difference of 2.48 orders of magnitude). Expressing measurements in btu (th) feet/hour/sq. foot/°f requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Btu (th) foot/hour/sq. foot/°F converts to 0.0033311041 btu (it) inches/second/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.