Calories (it)/second/square centimeter/°C to Btus (th)/hour/square foot/°F Converter (cal/(s·cm²·°C) to Btu (th)/(h·ft²·°F))
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)).
| 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 |
| 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
Tap to load into converterTo 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)
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).
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:
1 cal/(s·cm²·°C) = 41867.98188 watt per square meter kelvin (W/(m²·K))1 Btu (th)/(h·ft²·°F) = 5.674467 watt per square meter kelvin (W/(m²·K))V(Btu (th)/(h·ft²·°F)) = V(cal/(s·cm²·°C)) × ( 41867.98188 / 5.674467 ) = V(cal/(s·cm²·°C)) × 7378.310711Value in Btu (th)/hour/square foot/°F = Value in Calorie (IT)/second/square centimeter/°C × 7378.31071067Direct computational formula applied for standard conversion.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)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).
A physical magnitude of 1 cal/(s·cm²·°C) corresponds to 41867.98188 W/(m²·K) in standard SI measurement.
1 cal/(s·cm²·°C) = 41867.98188 W/(m²·K)Btu (th)/hour/square foot/°F
Btu (th)/(h·ft²·°F)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).
A physical magnitude of 1 Btu (th)/(h·ft²·°F) corresponds to 5.674467 W/(m²·K) in standard SI measurement.
1 Btu (th)/(h·ft²·°F) = 5.674467 W/(m²·K)Domain Metrology & Engineering Applications
Newton's Law of Cooling (q = h · ΔT)
Rigorously quantified in laboratory and field settings using surface heat flux transducer plates coupled with surface RTD arrays, and wind tunnel boundary layer calorimeters.
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.
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].
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
[W/(m²·K)] × [K] → [W/m²]
-
1. Normalize Input to SI Base Unit (W/(m²·K)):
h = 1 cal/(s·cm²·°C) × 41867.98187954 = 41867.98187954 W/(m²·K) -
2. Apply Engineering Parameter (ΔT):
Selected condition: Forced Air Duct Cooling (ΔT = 25 K) at ΔT = 25 K -
3. Execute Governing Physical Law in SI Units:
q" = h × ΔT = (41867.98187954 W/(m²·K)) × (25 K) = 1046699.546988 W/m² -
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)
| 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 |
Frequently Asked Questions
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Physically Coupled Thermodynamics & Heat Converters
Explore interconnected physical dimension converters within the Thermodynamics & Heat cluster (ISO 80000-5:2019).