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Gigajoules to Milliwatt-hours conversion

Gigajoules to Milliwatt-hours conversion table

Gigajoules (GJ)Milliwatt-hours (mWh)
00
1277777777.77778
2555555555.55556
3833333333.33333
41111111111.1111
51388888888.8889
61666666666.6667
71944444444.4444
82222222222.2222
92500000000
102777777777.7778
205555555555.5556
308333333333.3333
4011111111111.111
5013888888888.889
6016666666666.667
7019444444444.444
8022222222222.222
9025000000000
10027777777777.778
1000277777777777.78

How to convert gigajoules to milliwatt-hours?

Certainly! To convert gigajoules (GJ) to milliwatt-hours (mWh), you'll need to follow a few conversion steps through intermediary units, since a direct conversion between these two specific units isn't commonly given.

Start by understanding the base conversions: 1 gigajoule (GJ) is equal to 10910^9 joules (J). 1 watt-hour (Wh) is equal to 3600 joules (J) because there are 3600 seconds in an hour and 1 watt is defined as 1 joule per second.

Given this, we can use the following steps:

  1. 1 GJ=109 J1 \text{ GJ} = 10^9 \text{ J}.
  2. Convert joules to watt-hours: 109 J3600 J/Wh\frac{10^9 \text{ J}}{3600 \text{ J/Wh}}.
  3. Convert watt-hours to milliwatt-hours: (109 J3600 J/Wh)×103(\frac{10^9 \text{ J}}{3600 \text{ J/Wh}}) \times 10^3.

Let's do the math: 1 GJ=109 J3600≈2.777×105 Wh1 \text{ GJ} = \frac{10^9 \text{ J}}{3600} \approx 2.777 \times 10^5 \text{ Wh} 1 GJ≈2.777×105 Wh×1031 \text{ GJ} \approx 2.777 \times 10^5 \text{ Wh} \times 10^3 1 GJ≈2.777×108 mWh1 \text{ GJ} \approx 2.777 \times 10^8 \text{ mWh}

Therefore, 1 gigajoule is equal to approximately 277,778,000 milliwatt-hours (mWh).

Real-World Examples of Gigajoules

Here are some examples to give you perspective on the magnitude of a gigajoule:

  1. Natural Gas:

    • 1 gigajoule (GJ) of natural gas is roughly equivalent to the energy content in 25.5 cubic meters of natural gas.
    • A typical household consuming natural gas may use around 100 to 200 GJ for heating per year, depending on the size of the house and the climate.

  2. Electricity Consumption:

    • A gigajoule corresponds to 277.78 kilowatt-hours (kWh).
    • An average American household uses around 877 kWh per month, which is roughly equivalent to 3.16 GJ.

  3. Fuel Energy:

    • 1 liter of gasoline contains about 34.8 megajoules (MJ), so approximately 28.7 liters of gasoline have an energy content of about 1 gigajoule.
    • Similarly, 1 gallon of gasoline contains around 121 MJ, so nearly 8.3 gallons would equate to 1 GJ.

  4. Food Energy:

    • An average human diet provides around 2,000 to 2,500 kilocalories per day. Since 1 kilocalorie is approximately 4.184 kilojoules (kJ), daily food intake for a human is about 8.4 to 10.5 MJ. Thus, in a year, a person consumes about 3 to 3.8 GJ of energy through food.

Understanding these conversions and examples highlights the practical applications of energy measurement in various fields.

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 Milliwatt-hours to other unit conversions.

What is gigajoules?

A gigajoule (GJ) is a unit of energy, specifically a large unit of measurement for electrical and thermal energy.

One gigajoule is equal to one billion joules. To put that in perspective:

  • 1 joule is the amount of energy required to lift an object weighing about 2 pounds up 3 feet.
  • 1 megajoule (MJ) is equal to 1 million joules, which is a significant amount of energy but still relatively small compared to what we use on a daily basis.
  • 1 gigajoule (GJ), on the other hand, is equivalent to:
    • About 277.8 kilowatt-hours (kWh) or 0.2778 megawatt-hours (MWh).
    • The energy produced by burning about 200 kilograms (440 pounds) of gasoline.
    • Enough electricity to power a typical household for about 24 hours.

Gigajoules are often used in the context of:

  • Energy production and consumption (e.g., electrical power plants, oil refineries)
  • Thermal energy storage (e.g., large-scale heat pumps, industrial processes)
  • Renewable energy sources (e.g., solar panels, wind turbines)

I hope that helps you understand gigajoules better!

What is milliwatt-hours?

A Milliwatt-hour is a unit of energy and its units, kWh, are formed with W for watt and h for hour from SI unit system combined with letter m, metric prefix, for 0.001 or 10−310^{-3}. Its definition, in the context of electricity, is the energy of one watt power flowing for one hour.

Followings equivalent equations are identical but in different units. Please note that factor 10−310^{-3} is representing Milli prefix in mWh unit.

1mWh=10−3∗Pt=10−3∗IVt=3600∗10−3∗J=2.247∗1022∗10−3eV=8.598∗105∗10−3cal1 mWh = 10^{-3}*Pt = 10^{-3}*IVt = 3600 * 10^{-3}*J = 2.247 * 10^{22} * 10^{-3} eV = 8.598*10^5 * 10^{-3} cal

P−PowerP - Power
t−Time (in hours. Multiply by 3600 to convert to seconds)t - Time \text{ (in hours. Multiply by 3600 to convert to seconds)}
I−CurrentI - Current V−VoltsV - Volts
J−JoulesJ - Joules
eV−ElectronvolteV - Electronvolt
cal−Caloriescal - Calories

Wikipedia page for Kilowatt-hour (watt-hour redirected to kWh) UCI article on Energy Units and Conversions Ian Woofenden's explanation on difference between Watts and Watt-Hours

Complete Gigajoules conversion table

Enter # of Gigajoules
Convert 1 GJ to other unitsResult
Gigajoules to Watt-seconds (GJ to Ws)1000000000
Gigajoules to Watt-minutes (GJ to Wm)16666666.666667
Gigajoules to Watt-hours (GJ to Wh)277777.77777778
Gigajoules to Milliwatt-hours (GJ to mWh)277777777.77778
Gigajoules to Kilowatt-hours (GJ to kWh)277.77777777778
Gigajoules to Megawatt-hours (GJ to MWh)0.2777777777778
Gigajoules to Gigawatt-hours (GJ to GWh)0.0002777777777778
Gigajoules to Joules (GJ to J)1000000000
Gigajoules to Kilojoules (GJ to kJ)1000000
Gigajoules to Megajoules (GJ to MJ)1000
Gigajoules to calories (GJ to cal)239005736.13767
Gigajoules to Kilocalories (GJ to kcal)239005.73613767

Energy conversions