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Calories (th)/second/cm² to Btus (IT)/hour/sq. foot Converter (cal (th)/(s·cm²) to Btu/(h·ft²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/second/cm² = 13263.20978236 BTU (IT)/hour/sq. foot
1 cal (th)/(s·cm²) = 13263.209782 Btu/(h·ft²) • 1 Btu/(h·ft²) = 7.539653 × 10⁻⁵ cal (th)/(s·cm²)
Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot: One Calorie (th)/second/cm² is equal to 13263.20978236 Btus (IT)/hour/sq. foot.
Certified Authority Value
13263.20978236
Btu/(h·ft²)
Exact: 1 Btu/(h·ft²) ≡ 7.5396530433 × 10⁻⁵ cal (th)/(s·cm²)
cal (th)/(s·cm²)
cal (th)/(s·cm²)
Swap to BTU (IT)/hour/sq. foot to Calorie (th)/second/cm²
Swap to BTU (IT)/hour/sq. foot to Calorie (th)/second/cm²
Btu/(h·ft²)
Btu/(h·ft²) 13263.20978236
Quick Values:
Conversion Formula
To convert Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot, multiply by 13263.20978236
cal (th)/(s·cm²) × 13263.20978236 = Btu/(h·ft²)

Calculation: 1 cal (th)/(s·cm²) × 13263.20978236 = 13263.20978236 Btu/(h·ft²)

Common Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Calorie (th)/second/cm² (cal (th)/(s·cm²)) and BTU (IT)/hour/sq. foot (Btu/(h·ft²)).

Tap any row to calculate
Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot: Primary Direct Table (15 Steps)
Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(s·cm²) 13.26321 Btu/(h·ft²) 1.326 × 10¹
0.01 cal (th)/(s·cm²) 132.632098 Btu/(h·ft²) 1.326 × 10²
0.1 cal (th)/(s·cm²) 1326.320978 Btu/(h·ft²) 1.326 × 10³
0.5 cal (th)/(s·cm²) 6631.604891 Btu/(h·ft²) 6.632 × 10³
1 cal (th)/(s·cm²) 13263.209782 Btu/(h·ft²) 1.326 × 10⁴
2 cal (th)/(s·cm²) 26526.419565 Btu/(h·ft²) 2.653 × 10⁴
5 cal (th)/(s·cm²) 66316.048912 Btu/(h·ft²) 6.632 × 10⁴
10 cal (th)/(s·cm²) 132632.097824 Btu/(h·ft²) 1.326 × 10⁵
20 cal (th)/(s·cm²) 265264.195647 Btu/(h·ft²) 2.653 × 10⁵
25 cal (th)/(s·cm²) 331580.244559 Btu/(h·ft²) 3.316 × 10⁵
50 cal (th)/(s·cm²) 663160.489118 Btu/(h·ft²) 6.632 × 10⁵
100 cal (th)/(s·cm²) 1326320.978236 Btu/(h·ft²) 1.326 × 10⁶
250 cal (th)/(s·cm²) 3315802.445589 Btu/(h·ft²) 3.316 × 10⁶
500 cal (th)/(s·cm²) 6631604.891178 Btu/(h·ft²) 6.632 × 10⁶
1000 cal (th)/(s·cm²) 1.326321 × 10⁷ Btu/(h·ft²) 1.326 × 10⁷
BTU (IT)/hour/sq. foot to Calorie (th)/second/cm²: Reciprocal Summary
BTU (IT)/hour/sq. foot to Calorie (th)/second/cm² Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu/(h·ft²) 7.539653 × 10⁻⁵ cal (th)/(s·cm²) 7.54 × 10⁻⁵
5 Btu/(h·ft²) 0.000376983 cal (th)/(s·cm²) 3.77 × 10⁻⁴
10 Btu/(h·ft²) 0.000753965 cal (th)/(s·cm²) 7.54 × 10⁻⁴
50 Btu/(h·ft²) 0.00376983 cal (th)/(s·cm²) 3.77 × 10⁻³
100 Btu/(h·ft²) 0.00753965 cal (th)/(s·cm²) 7.54 × 10⁻³
View Complete 15-Row BTU (IT)/hour/sq. foot to Calorie (th)/second/cm² 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/cm² (cal (th)/(s·cm²)) and BTU (IT)/hour/sq. foot (Btu/(h·ft²)):

Calorie (th)/second/cm² References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 0.032529 cal (th)/(s·cm²)
  • Clear sky direct midday summer sunlight striking sea level ground 0.023901 cal (th)/(s·cm²)
  • Human body resting thermal metabolic heat radiation to room 0.001195 cal (th)/(s·cm²)
  • Overcast winter day diffuse solar irradiance at sea level 0.00239 cal (th)/(s·cm²)

BTU (IT)/hour/sq. foot References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 431.43 Btu/(h·ft²)
  • Clear sky direct midday summer sunlight striking sea level ground 317 Btu/(h·ft²)
  • Human body resting thermal metabolic heat radiation to room 15.8499 Btu/(h·ft²)
  • Overcast winter day diffuse solar irradiance at sea level 31.6998 Btu/(h·ft²)

Tap any benchmark above to automatically calculate its exact equivalent in BTU (IT)/hour/sq. foot.

ISQ Dimension: [M T⁻³] Coherent SI Unit: watt per square meter (W/m²) Thermodynamics & Heat Transfer

How to Convert Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot

Converting Calorie (th)/second/cm² (cal (th)/(s·cm²)) to BTU (IT)/hour/sq. foot (Btu/(h·ft²)) is a core calculation in Heat Flux Density, which measures the rate of thermal energy transfer radiating or conducting through a unit area per second. 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/cm² equals 13263.209782 BTU (IT)/hour/sq. foot, while 1 Btu/(h·ft²) equals 7.539653 × 10⁻⁵ cal (th)/(s·cm²).

Direct Factor1 cal (th)/(s·cm²) = 13263.209782 Btu/(h·ft²)
Inverse Ratio1 Btu/(h·ft²) = 7.539653 × 10⁻⁵ cal (th)/(s·cm²)
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 square meter (W/m²)) 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·cm²) = 41840 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 Btu/(h·ft²) = 3.154591 watt per square meter (W/m²)
Step-by-step substitution for Calorie (th)/second/cm² → BTU (IT)/hour/sq. foot:V(Btu/(h·ft²)) = V(cal (th)/(s·cm²)) × ( 41840 / 3.154591 ) = V(cal (th)/(s·cm²)) × 13263.209782
Mathematical FormulaValue in BTU (IT)/hour/sq. foot = Value in Calorie (th)/second/cm² × 13263.20978236Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 24 Calorie (th)/second/cm² (cal (th)/(s·cm²)) produces 318317.034777 BTU (IT)/hour/sq. foot (Btu/(h·ft²)). In heavy-duty utility and industrial workloads, 240 cal (th)/(s·cm²) equals 3183170.347766 Btu/(h·ft²).

Inverse check: 1 Btu/(h·ft²) = 7.539653 × 10⁻⁵ cal (th)/(s·cm²).

Understanding Calorie (th)/second/cm² and BTU (IT)/hour/sq. foot

Calorie (th)/second/cm²

cal (th)/(s·cm²)
Standard Unit

A Calorie (th)/second/cm² (cal (th)/(s·cm²)) is a recognized unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solar constant extraterrestrial solar irradiance at top of atmosphere equals 0.032529 cal (th)/(s·cm²), a clear sky direct midday summer sunlight striking sea level ground equals 0.023901 cal (th)/(s·cm²), a human body resting thermal metabolic heat radiation to room equals 0.001195 cal (th)/(s·cm²).

Physical Setup

A physical magnitude of 1 cal (th)/(s·cm²) corresponds to 41840 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 cal (th)/(s·cm²) = 41840 W/m²

BTU (IT)/hour/sq. foot

Btu/(h·ft²)
Imperial / US

A BTU (IT)/hour/sq. foot (Btu/(h·ft²)) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solar constant extraterrestrial solar irradiance at top of atmosphere equals 431.43 Btu/(h·ft²), a clear sky direct midday summer sunlight striking sea level ground equals 317 Btu/(h·ft²), a human body resting thermal metabolic heat radiation to room equals 15.8499 Btu/(h·ft²).

Physical Setup

A physical magnitude of 1 Btu/(h·ft²) corresponds to 3.154591 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu/(h·ft²) = 3.154591 W/m²

Domain Metrology & Engineering Applications

Governing Law & Equation

Thermal Transmission Flux (q = Q̇ / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using Schmidt-Boelter heat flux gauges, differential thermopile foil transducers, and calibrated Gardon radiant gauges.

Primary Industry Sectors

Applied across rocket nozzle combustion chamber analysis, fire resistance testing (ASTM E119), furnace wall heat loss auditing, and hypersonic aerothermal design under international metrology standard ISO 80000-5:2019, ASME PTC 19.3.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASME PTC 19.3 and the BIPM SI Brochure (9th Edition). Governed by Thermal Transmission Flux (q = Q̇ / A) under ISO 80000 dimensional vector [M T⁻³].

Multi-Variable Engineering Bridge Thermal Radiation & Power Dissipation

Heat Flux Density to Total Thermal Power Bridge (Watts • Kilowatts • Megawatts • BTU/h • Horsepower)

Calculate total continuous heat dissipation power P = q" × A across surface barriers and exchangers, bridging heat flux density [M T⁻³] with thermal power [M L² T⁻³].

P = q" × A
Vector: [W/m²] × [m²] → [W]
Live Calculated Bridge Equivalent:
1 cal (th)/(s·cm²) at Industrial Hydronic Radiator Panel (8 m²) = 334720 W
Equals 334.72 kW • 0.33472 MW • 448.8669 hp
SI Power
334720
W
Watts
Grid / Utility
334.72
kW
Kilowatts
Power Plant
0.33472
MW
Megawatts
Mechanical Rating
448.8669
hp
Horsepower (Mechanical)
Metric Horsepower
455.0925
PS
Metric Horsepower (PS)
HVAC Thermal Rating
1142112.05
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 cal (th)/(s·cm²) × 41840 = 41840 W/m²
  2. 2. Apply Engineering Parameter (A):
    Selected condition: Industrial Hydronic Radiator Panel (8 m²) at A = 8 m²
  3. 3. Execute Governing Physical Law in SI Units:
    P = q" × A = (41840 W/m²) × (8 m²) = 334720 W
  4. 4. Convert to Standard Engineering Units:
    • W: 334720 × 1 = 334720 W (Watts) • kW: 334720 × 0.001 = 334.72 kW (Kilowatts) • MW: 334720 × 1 × 10⁻⁶ = 0.33472 MW (Megawatts) • hp: 334720 × 0.001341 = 448.8669 hp (Horsepower (Mechanical)) • PS: 334720 × 0.00136 = 455.0925 PS (Metric Horsepower (PS)) • BTU/h: 334720 × 3.4121 = 1142112.05 BTU/h (BTU per Hour)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
Residential Window Glazing (4 m²) 4 4.0 m² Double-pane exterior window glass aperture
Industrial Hydronic Radiator Panel (8 m²) 8 8.0 m² Convective space heating radiator surface
Shell & Tube Heat Exchanger (50 m²) 50 50.0 m² Industrial process fluid cooling bundle
Power Boiler Waterwall (200 m²) 200 200.0 m² Thermal power plant steam generator wall
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Frequently Asked Questions

There are exactly 13263.20978236 btus (it)/hour/sq. foot (Btu/(h·ft²)) in 1 calorie (th)/second/cm² (cal (th)/(s·cm²)). To calculate larger amounts manually, simply multiply your total number of calories (th)/second/cm² by the conversion multiplier of 13263.20978236.

The mathematical formula to convert calories (th)/second/cm² to btus (it)/hour/sq. foot is: [value] * 13263.20978236 = btus (it)/hour/sq. foot. 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 btus (it)/hour/sq. foot back to calories (th)/second/cm², you must divide your starting value by 13263.20978236. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (it)/hour/sq. foot input field.

1 Calorie (th)/second/cm² is larger than 1 BTU (IT)/hour/sq. foot. Specifically, 1 Calorie (th)/second/cm² equals exactly 13263.20978236 btus (it)/hour/sq. foot, making it 13263.2098 times larger (a difference of 4.12 orders of magnitude). Therefore, quantities expressed in btus (it)/hour/sq. foot require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (th)/second/cm² converts to 13263.20978236 btus (it)/hour/sq. foot. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.