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Calories (it)/second/square centimeter/°C to Btus (th)/hour/square foot/°F Converter (cal/(s·cm²·°C) to Btu (th)/(h·ft²·°F))

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1 Calorie (IT)/second/square centimeter/°C = 7378.31071067 Btu (th)/hour/square foot/°F
1 cal/(s·cm²·°C) = 7378.310711 Btu (th)/(h·ft²·°F) • 1 Btu (th)/(h·ft²·°F) = 0.000135532 cal/(s·cm²·°C)
Calorie (IT)/second/square centimeter/°C to Btu (th)/hour/square foot/°F: One Calorie (IT)/second/square centimeter/°C is equal to 7378.31071067 Btus (th)/hour/square foot/°F.
Certified Authority Value
7378.31071067
Btu (th)/(h·ft²·°F)
Exact: 1 Btu (th)/(h·ft²·°F) ≡ 0.0001355323785 cal/(s·cm²·°C)
cal/(s·cm²·°C)
cal/(s·cm²·°C)
Btu (th)/(h·ft²·°F)
Btu (th)/(h·ft²·°F) 7378.31071067
Quick Values:
Conversion Formula
To convert Calorie (IT)/second/square centimeter/°C to Btu (th)/hour/square foot/°F, multiply by 7378.31071067
cal/(s·cm²·°C) × 7378.31071067 = Btu (th)/(h·ft²·°F)

Calculation: 1 cal/(s·cm²·°C) × 7378.31071067 = 7378.31071067 Btu (th)/(h·ft²·°F)

Common Calorie (IT)/second/square centimeter/°C to Btu (th)/hour/square foot/°F Calculations

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

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Calorie (IT)/second/square centimeter/°C to Btu (th)/hour/square foot/°F: Primary Direct Table (15 Steps)
Calorie (IT)/second/square centimeter/°C to Btu (th)/hour/square foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal/(s·cm²·°C) 7.378311 Btu (th)/(h·ft²·°F) 7.378 × 10⁰
0.01 cal/(s·cm²·°C) 73.783107 Btu (th)/(h·ft²·°F) 7.378 × 10¹
0.1 cal/(s·cm²·°C) 737.831071 Btu (th)/(h·ft²·°F) 7.378 × 10²
0.5 cal/(s·cm²·°C) 3689.155355 Btu (th)/(h·ft²·°F) 3.689 × 10³
1 cal/(s·cm²·°C) 7378.310711 Btu (th)/(h·ft²·°F) 7.378 × 10³
2 cal/(s·cm²·°C) 14756.621421 Btu (th)/(h·ft²·°F) 1.476 × 10⁴
5 cal/(s·cm²·°C) 36891.553553 Btu (th)/(h·ft²·°F) 3.689 × 10⁴
10 cal/(s·cm²·°C) 73783.107107 Btu (th)/(h·ft²·°F) 7.378 × 10⁴
20 cal/(s·cm²·°C) 147566.214213 Btu (th)/(h·ft²·°F) 1.476 × 10⁵
25 cal/(s·cm²·°C) 184457.767767 Btu (th)/(h·ft²·°F) 1.845 × 10⁵
50 cal/(s·cm²·°C) 368915.535533 Btu (th)/(h·ft²·°F) 3.689 × 10⁵
100 cal/(s·cm²·°C) 737831.071067 Btu (th)/(h·ft²·°F) 7.378 × 10⁵
250 cal/(s·cm²·°C) 1844577.677667 Btu (th)/(h·ft²·°F) 1.845 × 10⁶
500 cal/(s·cm²·°C) 3689155.355334 Btu (th)/(h·ft²·°F) 3.689 × 10⁶
1000 cal/(s·cm²·°C) 7378310.710667 Btu (th)/(h·ft²·°F) 7.378 × 10⁶
Btu (th)/hour/square foot/°F to Calorie (IT)/second/square centimeter/°C: Reciprocal Summary
Btu (th)/hour/square foot/°F to Calorie (IT)/second/square centimeter/°C Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)/(h·ft²·°F) 0.000135532 cal/(s·cm²·°C) 1.355 × 10⁻⁴
5 Btu (th)/(h·ft²·°F) 0.000677662 cal/(s·cm²·°C) 6.777 × 10⁻⁴
10 Btu (th)/(h·ft²·°F) 0.00135532 cal/(s·cm²·°C) 1.355 × 10⁻³
50 Btu (th)/(h·ft²·°F) 0.00677662 cal/(s·cm²·°C) 6.777 × 10⁻³
100 Btu (th)/(h·ft²·°F) 0.0135532 cal/(s·cm²·°C) 1.355 × 10⁻²

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 (IT)/second/square centimeter/°C (cal/(s·cm²·°C)) and Btu (th)/hour/square foot/°F (Btu (th)/(h·ft²·°F)):

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

  • High-velocity liquid sodium fast reactor heat exchanger core 0.5 cal/(s·cm²·°C)

Btu (th)/hour/square foot/°F References:

  • Heavy masonry uninsulated cavity wall overall U-factor 0.45 Btu (th)/(h·ft²·°F)
ISQ Dimension: [M T⁻³ Θ⁻¹] Coherent SI Unit: watt per square meter kelvin (W/(m²·K)) Thermodynamics & Heat Transfer

How to Convert Calorie (IT)/second/square centimeter/°C to Btu (th)/hour/square foot/°F

Converting Calorie (IT)/second/square centimeter/°C (cal/(s·cm²·°C)) to Btu (th)/hour/square foot/°F (Btu (th)/(h·ft²·°F)) is a core calculation in Heat Transfer Coefficient, which quantifies the proportionality constant between the heat flux and the thermodynamic driving temperature difference. 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 (IT)/second/square centimeter/°C equals 7378.310711 Btu (th)/hour/square foot/°F, while 1 Btu (th)/(h·ft²·°F) equals 0.000135532 cal/(s·cm²·°C).

Direct Factor1 cal/(s·cm²·°C) = 7378.310711 Btu (th)/(h·ft²·°F)
Inverse Ratio1 Btu (th)/(h·ft²·°F) = 0.000135532 cal/(s·cm²·°C)
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 kelvin (W/(m²·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 cal/(s·cm²·°C) = 41867.98188 watt per square meter kelvin (W/(m²·K))
2. Target SI Bridge (ktarget):1 Btu (th)/(h·ft²·°F) = 5.674467 watt per square meter kelvin (W/(m²·K))
Step-by-step substitution for Calorie (IT)/second/square centimeter/°C → Btu (th)/hour/square foot/°F:V(Btu (th)/(h·ft²·°F)) = V(cal/(s·cm²·°C)) × ( 41867.98188 / 5.674467 ) = V(cal/(s·cm²·°C)) × 7378.310711
Mathematical FormulaValue in Btu (th)/hour/square foot/°F = Value in Calorie (IT)/second/square centimeter/°C × 7378.31071067Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Calorie (IT)/second/square centimeter/°C (cal/(s·cm²·°C)) to Btu (th)/hour/square foot/°F (Btu (th)/(h·ft²·°F)): multiply 50 by 7378.310711 to get 368915.535533 Btu (th)/(h·ft²·°F). At an industrial engineering scale, 2500 cal/(s·cm²·°C) converts to 1.844578 × 10⁷ Btu (th)/(h·ft²·°F).

Inverse check: 1 Btu (th)/(h·ft²·°F) = 0.000135532 cal/(s·cm²·°C).

Understanding Calorie (IT)/second/square centimeter/°C and Btu (th)/hour/square foot/°F

Calorie (IT)/second/square centimeter/°C

cal/(s·cm²·°C)
Standard Unit

A Calorie (IT)/second/square centimeter/°C (cal/(s·cm²·°C)) is a recognized unit for heat transfer coefficient.

Applications & Practical Context

In practical heat transfer coefficient terms, a high-velocity liquid sodium fast reactor heat exchanger core equals 0.5 cal/(s·cm²·°C).

Physical Setup

A physical magnitude of 1 cal/(s·cm²·°C) corresponds to 41867.98188 W/(m²·K) in standard SI measurement.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 cal/(s·cm²·°C) = 41867.98188 W/(m²·K)

Btu (th)/hour/square foot/°F

Btu (th)/(h·ft²·°F)
Imperial / US

A Btu (th)/hour/square foot/°F (Btu (th)/(h·ft²·°F)) is an imperial and US customary unit for heat transfer coefficient.

Applications & Practical Context

In practical heat transfer coefficient terms, a heavy masonry uninsulated cavity wall overall U-factor equals 0.45 Btu (th)/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu (th)/(h·ft²·°F) corresponds to 5.674467 W/(m²·K) in standard SI measurement.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 Btu (th)/(h·ft²·°F) = 5.674467 W/(m²·K)

Domain Metrology & Engineering Applications

Governing Law & Equation

Newton's Law of Cooling (q = h · ΔT)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using surface heat flux transducer plates coupled with surface RTD arrays, and wind tunnel boundary layer calorimeters.

Primary Industry Sectors

Applied across industrial heat exchanger rating, nuclear reactor cooling loop simulation, electronics forced-air cooling, and architectural U-value certification under international metrology standard ISO 80000-5:2019, ASME PTC.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASME PTC and the BIPM SI Brochure (9th Edition). Governed by Newton's Law of Cooling (q = h · ΔT) under ISO 80000 dimensional vector [M T⁻³ Θ⁻¹].

Multi-Variable Engineering Bridge Convective Thermodynamics & Cooling

Heat Transfer Coefficient to Convective Flux Bridge (W/m² • kW/m² • BTU/(h·ft²) • cal/(s·cm²))

Calculate Newton’s law of cooling convective heat flux q" = h × ΔT across convective film temperature drops, bridging heat transfer coefficient [M T⁻³ Θ⁻¹] with heat flux [M T⁻³].

q" = h × ΔT
Vector: [W/(m²·K)] × [K] → [W/m²]
Live Calculated Bridge Equivalent:
1 cal/(s·cm²·°C) at Forced Air Duct Cooling (ΔT = 25 K) = 1046699.547 W/m²
Equals 1046.6995 kW/m² • 331802.0775 BTU/(h·ft²) • 24.999989 cal/(s·cm²)
SI Heat Flux
1046699.547
W/m²
Watts per Square Meter
Solar / Combustion
1046.6995
kW/m²
Kilowatts per Square Meter
US Building Envelope
331802.0775
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
24.999989
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
1500.2693
Ly/min
Langley per Minute
Furnace Flux
1.0467
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m²·K)):
    h = 1 cal/(s·cm²·°C) × 41867.98187954 = 41867.98187954 W/(m²·K)
  2. 2. Apply Engineering Parameter (ΔT):
    Selected condition: Forced Air Duct Cooling (ΔT = 25 K) at ΔT = 25 K
  3. 3. Execute Governing Physical Law in SI Units:
    q" = h × ΔT = (41867.98187954 W/(m²·K)) × (25 K) = 1046699.546988 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 1046699.546988 × 1 = 1046699.547 W/m² (Watts per Square Meter) • kW/m²: 1046699.546988 × 0.001 = 1046.6995 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 1046699.546988 × 0.317 = 331802.0775 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 1046699.546988 × 2.3885 × 10⁻⁵ = 24.999989 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 1046699.546988 × 0.001433 = 1500.2693 Ly/min (Langley per Minute) • MW/m²: 1046699.546988 × 1 × 10⁻⁶ = 1.0467 MW/m² (Megawatts per Square Meter)
Explore Full Heat Flux Density Converter →
Engineering Substance / Operating Standard Parameter Value (K) Reference State / Condition Typical Industrial & Engineering Application
Natural Air Convection (ΔT = 15 K) 15 ΔT = 15 K (15°C) Still room air room heating surface delta
Forced Air Duct Cooling (ΔT = 25 K) 25 ΔT = 25 K (25°C) Forced fan ventilation heatsink airflow
Forced Liquid Water Cooling (ΔT = 30 K) 30 ΔT = 30 K Pumped liquid cold plate or engine jacket
Nucleate Boiling Heat Transfer (ΔT = 50 K) 50 ΔT = 50 K Boiler evaporator tube wall boundary
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Frequently Asked Questions

There are exactly 7378.31071067 btus (th)/hour/square foot/°f (Btu (th)/(h·ft²·°F)) in 1 calorie (it)/second/square centimeter/°c (cal/(s·cm²·°C)). To calculate larger amounts manually, simply multiply your total number of calories (it)/second/square centimeter/°c by the conversion multiplier of 7378.31071067.

The mathematical formula to convert calories (it)/second/square centimeter/°c to btus (th)/hour/square foot/°f is: [value] * 7378.31071067 = btus (th)/hour/square 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 btus (th)/hour/square foot/°f back to calories (it)/second/square centimeter/°c, you must divide your starting value by 7378.31071067. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/hour/square foot/°f input field.

1 Calorie (IT)/second/square centimeter/°C is larger than 1 Btu (th)/hour/square foot/°F. Specifically, 1 Calorie (IT)/second/square centimeter/°C equals exactly 7378.31071067 btus (th)/hour/square foot/°f, making it 7378.3107 times larger (a difference of 3.87 orders of magnitude). Therefore, quantities expressed in btus (th)/hour/square foot/°f require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (IT)/second/square centimeter/°C converts to 7378.31071067 btus (th)/hour/square foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.