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Calorie (th)/second to Btu (IT)/hour (cal (th)/s to Btu/h) Converter

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Live Conversion • ISO 80000-4:2019 Certified
1 Calorie (th)/second = 14.27640059 Btu (IT)/hour
1 cal (th)/s = 14.276401 Btu/h • 1 Btu/h = 0.0700457 cal (th)/s
Calorie (th)/second to Btu (IT)/hour: One Calorie (th)/second is equal to 14.27640059 Btus (it)/hour.
Certified Authority Value
14.27640059
Btu/h
Exact: 1 Btu/h ≡ 0.07004566687 cal (th)/s
cal (th)/s
cal (th)/s
Swap to Btu (IT)/hour to Calorie (th)/second
Btu/h
Btu/h 14.27640059
Quick Values:
1 cal (th)/s 5 cal (th)/s 10 cal (th)/s 25 cal (th)/s 50 cal (th)/s 100 cal (th)/s 250 cal (th)/s 500 cal (th)/s 1,000 cal (th)/s
Conversion Formula
To convert Calorie (th)/second to Btu (IT)/hour, multiply by 14.27640059
cal (th)/s × 14.27640059 = Btu/h

Calculation: 1 cal (th)/s × 14.27640059 = 14.27640059 Btu/h

Common Calorie (th)/second to Btu (IT)/hour Calculations

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

Tap any row to calculate
Btu (IT)/hour to Calorie (th)/second: Reciprocal Summary
Btu (IT)/hour to Calorie (th)/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu/h is equal to 0.0700457 cal (th)/s (Calorie (th)/second) 7.005 × 10⁻²
5 Btu/h is equal to 0.350228 cal (th)/s (Calorie (th)/second) 3.502 × 10⁻¹
10 Btu/h is equal to 0.700457 cal (th)/s (Calorie (th)/second) 7.005 × 10⁻¹
50 Btu/h is equal to 3.502283 cal (th)/s (Calorie (th)/second) 3.502 × 10⁰
100 Btu/h is equal to 7.004567 cal (th)/s (Calorie (th)/second) 7.005 × 10⁰
View Complete 15-Row Btu (IT)/hour to Calorie (th)/second 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 (cal (th)/s) and Btu (IT)/hour (Btu/h):

Calorie (th)/second References:

  • Thermochemical calorie per second heat transfer rate (4.184 W) 1 cal_th/s

Btu (IT)/hour References:

  • Commercial residential central air conditioner cooling power capacity (1 ton / 12,000 BTU/h) 12000 BTU/h
  • Standard residential natural gas kitchen cooking range surface burner 10000 BTU/h
  • Residential whole-home gas heating furnace thermal input rating 80000 BTU/h

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

ISQ Dimension: [M L² T⁻³] Coherent SI Unit: watt (W) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Calorie (th)/second to Btu (IT)/hour

Converting Calorie (th)/second (cal (th)/s) to Btu (IT)/hour (Btu/h) is a core calculation in Power, which measures the rate of energy expenditure, conversion, or work transfer per unit of time. 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 equals 14.276401 Btu (IT)/hour, while 1 Btu/h equals 0.0700457 cal (th)/s.

Direct Factor1 cal (th)/s = 14.276401 Btu/h
Inverse Ratio1 Btu/h = 0.0700457 cal (th)/s
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 (W)) 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 = 4.184 watt (W)
2. Target SI Bridge (ktarget):1 Btu/h = 0.293071 watt (W)
Step-by-step substitution for Calorie (th)/second → Btu (IT)/hour:V(Btu/h) = V(cal (th)/s) × ( 4.184 / 0.293071 ) = V(cal (th)/s) × 14.276401
Mathematical FormulaValue in Btu (IT)/hour = Value in Calorie (th)/second × 14.27640059Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 15 cal (th)/s, applying the conversion factor yields exactly 214.146009 Btu/h. At larger operational scale, 240 Calorie (th)/second corresponds to 3426.336142 Btu/h.

Inverse check: 1 Btu/h = 0.0700457 cal (th)/s.

Understanding Calorie (th)/second and Btu (IT)/hour

Calorie (th)/second

cal (th)/s
Standard Unit

A Calorie (th)/second (cal (th)/s) is a recognized unit for power.

Applications & Practical Context

In practical power terms, a thermochemical calorie per second heat transfer rate (4.184 W) equals 1 cal_th/s.

Physical Setup

A power rating of 1 cal (th)/s corresponds to 4.184 W (transferring energy at a rate of 4.184 joules per second).

Conversion to SI Unit: watt (W)
1 cal (th)/s = 4.184 W

Btu (IT)/hour

Btu/h
Imperial / US

A Btu (IT)/hour (Btu/h) is an imperial and US customary unit for power.

Applications & Practical Context

In practical power terms, a commercial residential central air conditioner cooling power capacity (1 ton / 12,000 BTU/h) equals 12000 BTU/h, a standard residential natural gas kitchen cooking range surface burner equals 10000 BTU/h, a residential whole-home gas heating furnace thermal input rating equals 80000 BTU/h.

Physical Setup

A power rating of 1 Btu/h corresponds to 0.293071 W (transferring energy at a rate of 0.293071 joules per second).

Conversion to SI Unit: watt (W)
1 Btu/h = 0.293071 W

Domain Metrology & Engineering Applications

Governing Law & Equation

Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using precision digital power analyzers (Yokogawa-type), absorption water-brake dynamometers, and RF thermistor bolometer mounts.

Primary Industry Sectors

Applied across electric vehicle powertrain dyno testing, renewable solar inverter rating, industrial steam turbine generation, and data center power management under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Btu (IT)/hour
Thermochemical calorie per second heat transfer rate (4.184 W)1 cal_th/s14.276401 Btu/h
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v) under ISO 80000 dimensional vector [M L² T⁻³].

Multi-Variable Engineering Bridge Grid Energy & Industrial Work

Continuous Power & Operating Duration Bridge (kWh • Megajoules • BTU • Average Power • Battery Runtime)

Bridge instantaneous work rate [M L² T⁻³] and accumulated energy consumption [M L² T⁻²] over operational shifts and duty cycles via the work-power equation E = P × t.

E = P × t
Live Calculated Bridge Equivalent:
1 cal (th)/s at 1-Hour Standard Benchmark Runtime = 0.004184 kWh
Equals 0.01506 MJ • 14.28 BTU • 15062.4 J
Utility Standard
0.004184
kWh
Kilowatt-Hours
SI Metric Energy
0.01506
MJ
Megajoules
HVAC & Thermal
14.28
BTU
British Thermal Units
SI Base Unit
15062.4
J
Joules
Grid Power Scale
4.184 × 10⁻⁶
MWh
Megawatt-Hours
Mechanical Work
0.005611
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 cal (th)/s × 4.184 = 4.184 W
  2. 2. Apply Engineering Parameter (t):
    Selected condition: 1-Hour Standard Benchmark Runtime at t = 3600 Seconds / Hours
  3. 3. Execute Governing Physical Law in SI Units:
    E = P × t = (4.184) × (3600) = 15062.4 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 15062.4 × 2.7778 × 10⁻⁷ = 0.004184 kWh (Kilowatt-Hours) • MJ: 15062.4 × 1 × 10⁻⁶ = 0.01506 MJ (Megajoules) • BTU: 15062.4 × 0.0009478 = 14.28 BTU (British Thermal Units) • J: 15062.4 × 1 = 15062.4 J (Joules) • MWh: 15062.4 × 2.7778 × 10⁻¹⁰ = 4.184 × 10⁻⁶ MWh (Megawatt-Hours) • hp·h: 15062.4 × 3.7251 × 10⁻⁷ = 0.005611 hp·h (Horsepower-Hours)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (Seconds / Hours) Reference State / Condition Typical Industrial & Engineering Application
1-Second Pulse (Inrush / Circuit Breaker) 1 1.0 second Motor inrush peak & capacitor discharge
1-Minute Short Cycle (Microwave / Lift) 60 60 seconds Elevator transit & commercial appliance duty
1-Hour Standard Benchmark Runtime 3600 3,600 seconds Standard utility kilowatt-hour energy basis
8-Hour Factory Shift (Industrial Machinery) 28800 8.0 hours Single industrial production line workday
24-Hour Continuous Day (Data Center / Pump) 86400 24.0 hours Always-on server racks & municipal water treatment
7-Day Continuous Week (Chemical Refining) 604800 168.0 hours Continuous manufacturing process plant run
30-Day Monthly Billing Cycle 2592000 720.0 hours Electric utility meter billing period
365-Day Annual Base Load Operation 3.1536 × 10⁷ 8,760 hours Grid generator annual capacity factor calculation
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Frequently Asked Questions

There are exactly 14.27640059 btus (it)/hour (Btu/h) in 1 calorie (th)/second (cal (th)/s). To calculate larger amounts manually, simply multiply your total number of calories (th)/second by the conversion multiplier of 14.27640059.

The mathematical formula to convert calories (th)/second to btus (it)/hour is: [value] * 14.27640059 = btus (it)/hour. 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 back to calories (th)/second, you must divide your starting value by 14.27640059. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (it)/hour input field.

1 Calorie (th)/second is larger than 1 Btu (IT)/hour. Specifically, 1 Calorie (th)/second equals exactly 14.27640059 btus (it)/hour, making it 14.2764 times larger (a difference of 1.15 orders of magnitude). Therefore, quantities expressed in btus (it)/hour require a larger numerical value to represent the same physical amount.

A typical thermochemical calorie per second heat transfer rate (4.184 W) measures 1 cal_th/s, which corresponds to 14.2764 Btu It Per Hour (Btu (IT)/hour).

There are 14.2764 Btu/h in 1 cal (th)/s. This is derived from standard definitions where 1 Btu (IT) = 1055.056 J and 1 cal (th) = 4.184 J, converting seconds to hours.

To convert thermal power in calories (th) per second to Btu (IT) per hour, multiply the value by 14.2764. The mathematical equation is V(Btu/h) = V(cal (th)/s) × 14.2764.

To convert Btu (IT)/hour back to calories (th) per second, multiply the Btu/h value by 0.0700457. The formula is V(cal (th)/s) = V(Btu/h) × 0.0700457.

The Btu (IT) per hour is the standard metric used in the North American HVAC industry to rate heating, ventilation, and air conditioning equipment capacities, such as chillers and furnaces.

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