British thermal units per second (Btu/s) to Milliwatts (mW) conversion

British thermal units per second to Milliwatts conversion table

British thermal units per second (Btu/s)Milliwatts (mW)
00
11055055.9990844
22110111.9981687
33165167.9972531
44220223.9963374
55275279.9954218
66330335.9945061
77385391.9935905
88440447.9926749
99495503.9917592
1010550559.990844
2021101119.981687
3031651679.972531
4042202239.963374
5052752799.954218
6063303359.945061
7073853919.935905
8084404479.926749
9094955039.917592
100105505599.90844
10001055055999.0844

How to convert british thermal units per second to milliwatts?

Converting between British thermal units per second (BTU/s) and Milliwatts (mW) involves understanding the relationship between these two units of power. Here’s how to approach this conversion:

Understanding the Conversion

The British thermal unit (BTU) is a traditional unit of energy, while the Watt (W) is the SI unit of power. Milliwatts (mW) are simply a smaller unit of power, where 1 W = 1000 mW.

  • Conversion Factor: 1 BTU/s is equivalent to approximately 1055.06 Watts.

Converting BTU/s to Milliwatts

To convert British thermal units per second to Milliwatts, you'll use the following conversion factor:

1BTU/s1055.06W1 \, \text{BTU/s} \approx 1055.06 \, \text{W}

Since 1W=1000mW1 \, \text{W} = 1000 \, \text{mW}, we can further convert Watts to Milliwatts:

1BTU/s1055.06W×1000mWW1 \, \text{BTU/s} \approx 1055.06 \, \text{W} \times 1000 \, \frac{\text{mW}}{\text{W}}

1BTU/s1,055,060mW1 \, \text{BTU/s} \approx 1,055,060 \, \text{mW}

Therefore, 1 British thermal unit per second is approximately 1,055,060 Milliwatts.

Converting Milliwatts to BTU/s

To convert Milliwatts to BTU/s, you simply reverse the process.

First, convert Milliwatts to Watts:

1mW=11000W=0.001W1 \, \text{mW} = \frac{1}{1000} \, \text{W} = 0.001 \, \text{W}

Next, convert Watts to BTU/s using the inverse of our original conversion factor:

1W11055.06BTU/s1 \, \text{W} \approx \frac{1}{1055.06} \, \text{BTU/s}

1mW0.001W×11055.06BTU/sW1 \, \text{mW} \approx 0.001 \, \text{W} \times \frac{1}{1055.06} \, \frac{\text{BTU/s}}{\text{W}}

1mW9.478×107BTU/s1 \, \text{mW} \approx 9.478 \times 10^{-7} \, \text{BTU/s}

Therefore, 1 Milliwatt is approximately 9.478×1079.478 \times 10^{-7} British thermal units per second.

Step-by-Step Instructions:

Converting BTU/s to mW:

  1. Start with BTU/s: Note the value in British thermal units per second that you want to convert.
  2. Multiply by 1,055,060: Multiply the BTU/s value by 1,055,060 to get the equivalent value in Milliwatts.

Converting mW to BTU/s:

  1. Start with mW: Note the value in Milliwatts that you want to convert.
  2. Multiply by 9.478×1079.478 \times 10^{-7}: Multiply the Milliwatts value by 9.478×1079.478 \times 10^{-7} to get the equivalent value in BTU/s.

Historical Context and Facts

  • James Prescott Joule (1818-1889): Although not directly related to BTU, Joule's work on the mechanical equivalent of heat was fundamental to understanding energy transfer. His experiments demonstrated that mechanical work could be converted into heat, and vice versa, laying the groundwork for understanding the relationships between different energy units. https://www.britannica.com/biography/James-Prescott-Joule
  • The BTU is still commonly used in the United States to measure the heating value of fuels and the capacity of heating and cooling systems, despite the increasing global adoption of the SI system.

Real-World Examples

Here are a few scenarios where converting between BTU/s and Milliwatts might be useful:

  1. HVAC Systems: Estimating the heat transfer rate of small components in HVAC systems. For example, the heat generated by a small electronic control unit might be expressed in Milliwatts, while the overall cooling capacity of the system is rated in BTU/s or BTU/hour.

  2. Electronics Cooling: Analyzing the thermal performance of electronic devices. For example, a microchip might generate a few Watts of heat (thousands of Milliwatts), while the cooling system's capacity could be related to removing a certain number of BTU/s from the device.

  3. Scientific Research: Calculating energy transfer rates in experiments. In calorimetry, small heat flows might be measured in Milliwatts, and researchers may need to convert these measurements to BTU/s for comparison with historical data or equipment specifications.

  4. Power Plants: Analyzing the thermal efficiency of a power plant. Small losses of energy are often measured in Milliwatts. Those losses may be converted to BTU/s for comparison with historical data or equipment specifications.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Milliwatts to other unit conversions.

What is British thermal units per second?

British thermal units per second (BTU/s) is a unit of power representing the amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit in one second. It's a measure of the rate at which energy is transferred or consumed. It is commonly used in the United States in power, steam generation, heating, and air conditioning industries.

Understanding British Thermal Units (BTU)

Before diving into BTU/s, let's understand what BTU represents. One BTU is approximately:

  • The energy produced by burning one match.
  • The amount of energy needed to heat about 1 pound (0.45 kg) of water by about 1°F1°F (0.56°C) at its maximum density.
  • About 1055 Joules.

Defining British Thermal Units per Second

British thermal units per second is measurement of Power. As a standard formula power is:

Power=EnergyTimePower = \frac{Energy}{Time}

The formula to calculate BTU/s from BTU is simple, and is shown below:

BTU/s=BTUSecondBTU/s = \frac{BTU}{Second}

Conversion to Other Units

Here's how BTU/s relates to other common power units:

  • 1 BTU/s = 1055.06 Joules/s (Watts)
  • 1 BTU/s ≈ 1.055 Kilowatts (kW)
  • 1 BTU/s ≈ 1.41 Horsepower (hp)

Real-World Examples and Applications

BTU/s is frequently encountered when discussing the power output or consumption of various systems:

  • Heating and Cooling Systems: Large HVAC systems (like those in commercial buildings) are often rated in BTU/s to indicate their heating or cooling capacity.
  • Power Plants: The rate at which a power plant generates energy can be expressed in BTU/s.
  • Industrial Processes: Many industrial processes that involve heat transfer use BTU/s as a measure of power.
  • Geothermal energy: Geothermal gradient is commonly measured in BTU/hr/ftBTU/hr/ft (British thermal units per hour per foot).

Important Considerations

British thermal unit is an imperial unit. Although it is still used in the power industry, It is considered obsolete. SI unit for the same purpose is Watt.

What is Milliwatts?

Milliwatts are a unit of power, commonly used to measure small amounts of electrical or other forms of power. Understanding milliwatts helps in various applications from electronics to radio communication.

Milliwatts Defined

A milliwatt (mW) is a unit of power in the International System of Units (SI). It is equal to one-thousandth (1/1000) of a watt. Since a watt is a joule per second, a milliwatt represents 0.001 joules of energy being converted or consumed per second.

Mathematically:

1mW=11000W=0.001W1 mW = \frac{1}{1000} W = 0.001 W

How Milliwatts Are Formed

The term "milliwatt" is derived from the SI prefix "milli-", which denotes a factor of 10310^{-3} or 1/1000, combined with the unit of power, the watt (W). The watt, in turn, is named after James Watt, a Scottish inventor and mechanical engineer known for his improvements to the steam engine.

Real-World Examples of Milliwatts

Milliwatts are commonly encountered in situations involving low power consumption:

  • Small Electronic Devices: Many portable electronic devices like headphones, smartwatches, and sensors operate in the milliwatt range to conserve battery life.
  • Laser Pointers: The output power of laser pointers is often limited to a few milliwatts to ensure safety.
  • Radio Transmitters: Low-power radio transmitters, such as those used in wireless sensor networks or short-range communication devices, may have output powers measured in milliwatts.
  • Hearing Aids: Hearing aids consume very little power, typically measured in milliwatts.
  • Medical Devices: Certain medical devices, like implanted sensors, use milliwatts of power for operation.

Power Calculations & Conversions

Understanding the relationship between milliwatts, volts, and amps is crucial in electronics. Power (P) in watts can be calculated using the following formulas:

  • P=VIP = VI (where V is voltage in volts and I is current in amperes)
  • P=I2RP = I^2R (where I is current in amperes and R is resistance in ohms)
  • P=V2RP = \frac{V^2}{R} (where V is voltage in volts and R is resistance in ohms)

To convert from watts to milliwatts, multiply by 1000. To convert from milliwatts to watts, divide by 1000.

For example, if a device operates at 5 volts and draws 0.1 amperes of current, the power consumption is:

P=5V0.1A=0.5W=500mWP = 5V * 0.1A = 0.5 W = 500 mW

James Watt and the Development of Power Measurement

While milliwatts are a modern unit, they're directly related to the watt, named after James Watt. Watt's improvements to the steam engine were pivotal in the Industrial Revolution. He also developed the concept of horsepower as a unit of power, which later led to the standardization of the watt as the SI unit of power.

Read more about James Watt and the History of the Watt in britannica

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  • Wattage
  • Voltage
  • Current
  • Energy efficiency
  • SI units
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  • mW to W conversion

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Complete British thermal units per second conversion table

Enter # of British thermal units per second
Convert 1 Btu/s to other unitsResult
British thermal units per second to Watts (Btu/s to W)1055.0559990844
British thermal units per second to Milliwatts (Btu/s to mW)1055055.9990844
British thermal units per second to Kilowatts (Btu/s to kW)1.0550559990844
British thermal units per second to Megawatts (Btu/s to MW)0.001055055999084
British thermal units per second to Gigawatts (Btu/s to GW)0.000001055055999084
British thermal units per second to Horsepower (metric) (Btu/s to PS)1.4344769438213
British thermal units per second to Foot-pounds per second (Btu/s to ft-lb/s)778.16937
British thermal units per second to Horsepower (British) (Btu/s to hp)1.4148534