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Btus (th)/cubic foot to Btu (IT)/gallons (US) Converter (Btu (th)/ft³ to Btu/gal (US))

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1 Btu (th)/cubic foot = 0.13359099 Btu (IT)/gallon (US)
1 Btu (th)/ft³ = 0.133591 Btu/gal (US) • 1 Btu/gal (US) = 7.485535 Btu (th)/ft³
Btu (th)/cubic foot to Btu (IT)/gallon (US): One Btu (th)/cubic foot is equal to 0.13359099 Btu (IT)/gallons (US).
Certified Authority Value
0.13359099
Btu/gal (US)
Exact: 1 Btu/gal (US) ≡ 7.4855346333 Btu (th)/ft³
Btu (th)/ft³
Btu (th)/ft³
Btu/gal (US)
Btu/gal (US) 0.13359099
Quick Values:
Conversion Formula
To convert Btu (th)/cubic foot to Btu (IT)/gallon (US), multiply by 0.13359099
Btu (th)/ft³ × 0.13359099 = Btu/gal (US)

Calculation: 1 Btu (th)/ft³ × 0.13359099 = 0.13359099 Btu/gal (US)

Common Btu (th)/cubic foot to Btu (IT)/gallon (US) Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Btu (th)/cubic foot (Btu (th)/ft³) and Btu (IT)/gallon (US) (Btu/gal (US)).

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Btu (th)/cubic foot to Btu (IT)/gallon (US): Primary Direct Table (15 Steps)
Btu (th)/cubic foot to Btu (IT)/gallon (US) Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu (th)/ft³ 0.000133591 Btu/gal (US) 1.336 × 10⁻⁴
0.01 Btu (th)/ft³ 0.00133591 Btu/gal (US) 1.336 × 10⁻³
0.1 Btu (th)/ft³ 0.0133591 Btu/gal (US) 1.336 × 10⁻²
0.5 Btu (th)/ft³ 0.0667955 Btu/gal (US) 6.68 × 10⁻²
1 Btu (th)/ft³ 0.133591 Btu/gal (US) 1.336 × 10⁻¹
2 Btu (th)/ft³ 0.267182 Btu/gal (US) 2.672 × 10⁻¹
5 Btu (th)/ft³ 0.667955 Btu/gal (US) 6.68 × 10⁻¹
10 Btu (th)/ft³ 1.33591 Btu/gal (US) 1.336 × 10⁰
20 Btu (th)/ft³ 2.67182 Btu/gal (US) 2.672 × 10⁰
25 Btu (th)/ft³ 3.339775 Btu/gal (US) 3.34 × 10⁰
50 Btu (th)/ft³ 6.67955 Btu/gal (US) 6.68 × 10⁰
100 Btu (th)/ft³ 13.359099 Btu/gal (US) 1.336 × 10¹
250 Btu (th)/ft³ 33.397748 Btu/gal (US) 3.34 × 10¹
500 Btu (th)/ft³ 66.795496 Btu/gal (US) 6.68 × 10¹
1000 Btu (th)/ft³ 133.590992 Btu/gal (US) 1.336 × 10²
Btu (IT)/gallon (US) to Btu (th)/cubic foot: Reciprocal Summary
Btu (IT)/gallon (US) to Btu (th)/cubic foot Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu/gal (US) 7.485535 Btu (th)/ft³ 7.486 × 10⁰
5 Btu/gal (US) 37.427673 Btu (th)/ft³ 3.743 × 10¹
10 Btu/gal (US) 74.855346 Btu (th)/ft³ 7.486 × 10¹
50 Btu/gal (US) 374.276732 Btu (th)/ft³ 3.743 × 10²
100 Btu/gal (US) 748.553463 Btu (th)/ft³ 7.486 × 10²

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)/cubic foot (Btu (th)/ft³) and Btu (IT)/gallon (US) (Btu/gal (US)):

Btu (th)/cubic foot References:

  • Municipal utility coal gas manufactured fuel gas heating value 550 Btu (th)/ft³

Btu (IT)/gallon (US) References:

  • Refined automotive unleaded gasoline energy content (114,000 Btu/gal) 114000 Btu/gal (US)
  • Refined automotive diesel fuel No. 2 energy density 138500 Btu/gal (US)
  • Liquefied petroleum gas LPG propane vehicle fuel energy 91500 Btu/gal (US)
  • Pure denatured ethanol E100 renewable biofuel energy 76000 Btu/gal (US)
ISQ Dimension: [M L⁻¹ T⁻²] Coherent SI Unit: joule per cubic meter (J/m³) Thermodynamics & Heat Transfer

How to Convert Btu (th)/cubic foot to Btu (IT)/gallon (US)

Converting Btu (th)/cubic foot (Btu (th)/ft³) to Btu (IT)/gallon (US) (Btu/gal (US)) is a core calculation in Volumetric Energy Density, which quantifies the energetic output yield released per unit volume of fuel. 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)/cubic foot equals 0.133591 Btu (IT)/gallon (US), while 1 Btu/gal (US) equals 7.485535 Btu (th)/ft³.

Direct Factor1 Btu (th)/ft³ = 0.133591 Btu/gal (US)
Inverse Ratio1 Btu/gal (US) = 7.485535 Btu (th)/ft³
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 (joule per cubic meter (J/m³)) 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)/ft³ = 37233.963332 joule per cubic meter (J/m³)
2. Target SI Bridge (ktarget):1 Btu/gal (US) = 278716.122055 joule per cubic meter (J/m³)
Step-by-step substitution for Btu (th)/cubic foot → Btu (IT)/gallon (US):V(Btu/gal (US)) = V(Btu (th)/ft³) × ( 37233.963332 / 278716.122055 ) = V(Btu (th)/ft³) × 0.133591
Mathematical FormulaValue in Btu (IT)/gallon (US) = Value in Btu (th)/cubic foot × 0.13359099Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Btu (th)/cubic foot (Btu (th)/ft³) to Btu (IT)/gallon (US) (Btu/gal (US)): multiply 2.5 by 0.133591 to get 0.333977 Btu/gal (US). At an industrial engineering scale, 100 Btu (th)/ft³ converts to 13.359099 Btu/gal (US).

Inverse check: 1 Btu/gal (US) = 7.485535 Btu (th)/ft³.

Understanding Btu (th)/cubic foot and Btu (IT)/gallon (US)

Btu (th)/cubic foot

Btu (th)/ft³
Imperial / US

A Btu (th)/cubic foot (Btu (th)/ft³) is an imperial and US customary unit for volumetric energy density.

Applications & Practical Context

In practical fuel efficiency volume terms, a municipal utility coal gas manufactured fuel gas heating value equals 550 Btu (th)/ft³.

Physical Setup

A physical magnitude of 1 Btu (th)/ft³ corresponds to 37233.963332 J/m³ in standard SI measurement.

Conversion to SI Unit: joule per cubic meter (J/m³)
1 Btu (th)/ft³ = 37233.963332 J/m³

Btu (IT)/gallon (US)

Btu/gal (US)
Imperial / US

A Btu (IT)/gallon (US) (Btu/gal (US)) is an imperial and US customary unit for volumetric energy density.

Applications & Practical Context

In practical fuel efficiency volume terms, a refined automotive unleaded gasoline energy content (114,000 Btu/gal) equals 114000 Btu/gal (US), a refined automotive diesel fuel No. 2 energy density equals 138500 Btu/gal (US), a liquefied petroleum gas LPG propane vehicle fuel energy equals 91500 Btu/gal (US).

Physical Setup

A physical magnitude of 1 Btu/gal (US) corresponds to 278716.122055 J/m³ in standard SI measurement.

Conversion to SI Unit: joule per cubic meter (J/m³)
1 Btu/gal (US) = 278716.122055 J/m³

Domain Metrology & Engineering Applications

Governing Law & Equation

Volumetric Heat Release in Combustible Fluids

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using continuous gas flow calorimeters (Junkers-type), gas chromatographs with calculated heating value modules, and bomb calorimeters coupled to densitometers.

Primary Industry Sectors

Applied across natural gas pipeline custody transfer, liquefied petroleum gas (LPG) marketing, compressed hydrogen tank vehicle range modeling, and marine fuel bunkering under international metrology standard ASTM D4809, ISO 80000-5:2019.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ASTM D4809, ISO 80000-5:2019 and the BIPM SI Brochure (9th Edition). Governed by Volumetric Heat Release in Combustible Fluids under ISO 80000 dimensional vector [M L⁻¹ T⁻²].

Multi-Variable Engineering Bridge Combustion Enthalpy & Volumetric Energy

Volumetric Energy Density to Thermal Energy Bridge (Joules • Kilojoules • Megajoules • kWh • BTU)

Calculate total thermal heat energy E = H_v × V across fuel and gas volumes, bridging volumetric energy density [M L⁻¹ T⁻²] with total enthalpy [M L² T⁻²].

E = H_v × V
Vector: [J/m³] × [m³] → [J]
Live Calculated Bridge Equivalent:
1 Btu (th)/ft³ at 1 m³ Domestic Natural Gas Supply = 37233.9633 J
Equals 37.234 kJ • 0.037234 MJ • 0.0103428 kWh
SI Energy
37233.9633
J
Joules
Thermal Scale
37.234
kJ
Kilojoules
Bulk Energy
0.037234
MJ
Megajoules
Electric Utility Meter
0.0103428
kWh
Kilowatt-Hours
Battery Capacity
10.3428
Wh
Watt-Hours
Imperial Thermal
35.291
BTU
British Thermal Units
  1. 1. Normalize Input to SI Base Unit (J/m³):
    H_v = 1 Btu (th)/ft³ × 37233.96333199 = 37233.96333199 J/m³
  2. 2. Apply Engineering Parameter (V):
    Selected condition: 1 m³ Domestic Natural Gas Supply at V = 1 m³
  3. 3. Execute Governing Physical Law in SI Units:
    E = H_v × V = (37233.96333199 J/m³) × (1 m³) = 37233.963332 J
  4. 4. Convert to Standard Engineering Units:
    • J: 37233.963332 × 1 = 37233.9633 J (Joules) • kJ: 37233.963332 × 0.001 = 37.234 kJ (Kilojoules) • MJ: 37233.963332 × 1 × 10⁻⁶ = 0.037234 MJ (Megajoules) • kWh: 37233.963332 × 2.7778 × 10⁻⁷ = 0.0103428 kWh (Kilowatt-Hours) • Wh: 37233.963332 × 0.0002778 = 10.3428 Wh (Watt-Hours) • BTU: 37233.963332 × 0.0009478 = 35.291 BTU (British Thermal Units)
Explore Full Energy Converter →
Engineering Substance / Operating Standard Parameter Value (m³) Reference State / Condition Typical Industrial & Engineering Application
1 m³ Domestic Natural Gas Supply 1 1.0 m³ (1,000 L) Standard European residential gas meter volume
Commercial Boiler Daily Burn (10 m³) 10 10.0 m³ Commercial hydronic heating daily gas volume
Industrial Ceramic Kiln Batch (100 m³) 100 100.0 m³ Industrial furnace heating gas charge
Gas Turbine Firing Volume (1,000 m³) 1000 1,000 m³ Combined cycle power plant hourly firing
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Frequently Asked Questions

There are exactly 0.13359099 btu (it)/gallons (us) (Btu/gal (US)) in 1 btu (th)/cubic foot (Btu (th)/ft³). To calculate larger amounts manually, simply multiply your total number of btus (th)/cubic foot by the conversion multiplier of 0.13359099.

The mathematical formula to convert btus (th)/cubic foot to btu (it)/gallons (us) is: [value] * 0.13359099 = btu (it)/gallons (us). 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)/gallons (us) back to btus (th)/cubic foot, you must divide your starting value by 0.13359099. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (it)/gallon (us) input field.

1 Btu (IT)/gallon (US) is larger than 1 Btu (th)/cubic foot. Specifically, 1 Btu (th)/cubic foot equals 0.13359099 btu (it)/gallons (us), meaning 1 Btu (IT)/gallon (US) is 7.4855 times larger than 1 Btu (th)/cubic foot (a difference of 0.87 orders of magnitude). Expressing measurements in btus (th)/cubic foot requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Btu (th)/cubic foot converts to 0.13359099 btu (it)/gallons (us). Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.