Kilocalories (kcal) to Gigawatt-hours (GWh) conversion

Kilocalories to Gigawatt-hours conversion table

Kilocalories (kcal)Gigawatt-hours (GWh)
00
11.1622222222222e-9
22.3244444444444e-9
33.4866666666667e-9
44.6488888888889e-9
55.8111111111111e-9
66.9733333333333e-9
78.1355555555556e-9
89.2977777777778e-9
91.046e-8
101.1622222222222e-8
202.3244444444444e-8
303.4866666666667e-8
404.6488888888889e-8
505.8111111111111e-8
606.9733333333333e-8
708.1355555555556e-8
809.2977777777778e-8
901.046e-7
1001.1622222222222e-7
10000.000001162222222222

How to convert kilocalories to gigawatt-hours?

Converting between kilocalories (kcal) and gigawatt-hours (GWh) involves bridging two different scales of energy measurement. Kilocalories are commonly used in nutrition and dietetics, while gigawatt-hours are used to measure large-scale energy production and consumption.

Understanding the Conversion

To convert between these units, it's essential to know the conversion factors. These factors are based on the definitions of the units in terms of joules, the SI unit of energy.

  • 1 kilocalorie (kcal) = 4184 joules (J)
  • 1 gigawatt-hour (GWh) = 3.6×10123.6 \times 10^{12} joules (J)

Converting Kilocalories to Gigawatt-hours

To convert 1 kcal to GWh, follow these steps:

  1. Convert kcal to joules:

    1 kcal×4184Jkcal=4184 J1 \text{ kcal} \times 4184 \frac{\text{J}}{\text{kcal}} = 4184 \text{ J}

  2. Convert joules to gigawatt-hours:

    4184 J÷(3.6×1012JGWh)1.1622×109 GWh4184 \text{ J} \div (3.6 \times 10^{12} \frac{\text{J}}{\text{GWh}}) \approx 1.1622 \times 10^{-9} \text{ GWh}

Therefore, 1 kilocalorie is approximately 1.1622×1091.1622 \times 10^{-9} gigawatt-hours.

Converting Gigawatt-hours to Kilocalories

To convert 1 GWh to kcal, follow these steps:

  1. Convert GWh to joules:

    1 GWh×(3.6×1012JGWh)=3.6×1012 J1 \text{ GWh} \times (3.6 \times 10^{12} \frac{\text{J}}{\text{GWh}}) = 3.6 \times 10^{12} \text{ J}

  2. Convert joules to kilocalories:

    3.6×1012 J÷4184Jkcal8.604×108 kcal3.6 \times 10^{12} \text{ J} \div 4184 \frac{\text{J}}{\text{kcal}} \approx 8.604 \times 10^{8} \text{ kcal}

Therefore, 1 gigawatt-hour is approximately 8.604×1088.604 \times 10^{8} kilocalories.

Interesting Facts and Laws

The conversion of energy from one form to another is governed by the laws of thermodynamics, specifically the first law, which states that energy cannot be created or destroyed, only transformed from one form to another. This principle is fundamental to understanding why we can convert between different units of energy, such as kilocalories and gigawatt-hours.

Real-World Examples

While directly converting between kilocalories and gigawatt-hours isn't common in everyday contexts, here are scenarios where understanding the scale of these units can be relevant:

  1. Diet and Energy Production: A typical adult might consume around 2000 kcal per day. A small wind turbine might generate 1 GWh of electricity per year. The energy from many people's daily food intake would be needed to match the energy generated by a wind turbine in a year.

  2. Exercise and Power Plants: Burning 500 kcal during a workout is a tiny amount compared to the output of a power plant generating electricity in GWh.

  3. Food Production and National Energy Consumption: The total kilocalories produced by a country's agricultural sector compared to its total energy consumption in gigawatt-hours can illustrate how food production relates to overall energy needs.

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 Gigawatt-hours to other unit conversions.

What is Kilocalories?

Kilocalories (kcal), often referred to as Calories (with a capital "C") in the context of food and nutrition, represent the amount of energy required to raise the temperature of one kilogram of water by one degree Celsius. It's a larger unit of energy than the calorie (small "c"), where 1 kcal = 1000 calories. Kilocalories are a way to quantify the energy content of food and the energy expenditure of physical activities.

Understanding Kilocalories

Kilocalories are a unit of heat energy. Essentially, they tell us how much energy is stored within the chemical bonds of food molecules. When we metabolize food, these bonds are broken, releasing energy that our bodies use to fuel various functions.

The Relationship between Kilocalories and Calories

It's crucial to understand the distinction between a calorie (cal) and a kilocalorie (kcal). Although the terms are often used interchangeably, particularly in nutrition contexts, they are not equivalent.

  • calorie (cal): The amount of energy needed to raise the temperature of 1 gram of water by 1 degree Celsius.
  • kilocalorie (kcal): The amount of energy needed to raise the temperature of 1 kilogram of water by 1 degree Celsius.

The relationship is simply:

1 kcal=1000 cal1 \text{ kcal} = 1000 \text{ cal}

The "Calorie" listed on food labels is actually a kilocalorie. This is important to keep in mind when tracking your daily energy intake.

How Kilocalories are Determined

The energy content of food is typically determined by a process called bomb calorimetry. A food sample is burned inside a sealed container (the bomb calorimeter) surrounded by water. The heat released from burning the food raises the temperature of the water, and this temperature change is used to calculate the food's kilocalorie content.

Macronutrients and Kilocalories

The primary sources of kilocalories in our diet are macronutrients:

  • Carbohydrates: Provide approximately 4 kcal per gram.
  • Proteins: Provide approximately 4 kcal per gram.
  • Fats: Provide approximately 9 kcal per gram.
  • Alcohol: Provides approximately 7 kcal per gram.

Kilocalories and Energy Balance

Maintaining a healthy weight depends on energy balance, which is the relationship between kilocalories consumed and kilocalories expended.

  • Weight gain: Occurs when you consume more kilocalories than you expend.
  • Weight loss: Occurs when you expend more kilocalories than you consume.
  • Weight maintenance: Occurs when kilocalories consumed equal kilocalories expended.

Real-World Examples of Kilocalorie Content

Here are some examples of the kilocalorie content of common foods and activities:

  • One medium apple: Approximately 95 kcal.
  • One slice of whole wheat bread: Approximately 70 kcal.
  • 100g of chicken breast: Approximately 165 kcal.
  • One hour of moderate-intensity walking: Burns approximately 200-300 kcal (depending on body weight and pace).

Historical Context and Notable Figures

While not directly associated with a "law," Wilbur Olin Atwater was a pioneering chemist in the late 19th and early 20th centuries who made significant contributions to our understanding of human nutrition and metabolism. He developed a system for calculating the energy values of foods, laying the groundwork for the kilocalorie values we use today. He investigated how the body uses food and developed the Atwater system, which is still used today to calculate the caloric content of foods.

Interesting Facts

  • The human brain, despite being only about 2% of body weight, consumes roughly 20% of the body's daily energy expenditure.
  • Basal Metabolic Rate (BMR) is the number of kilocalories your body burns at rest to maintain basic bodily functions. It varies from person to person based on factors like age, sex, weight, and height. You can estimate your BMR using online calculators.
  • "Empty calories" refer to foods that provide kilocalories but lack significant nutritional value (vitamins, minerals, fiber). Examples include sugary drinks and processed snacks.

What is Gigawatt-hours?

Gigawatt-hours (GWh) is a unit of energy representing one billion watt-hours. It's commonly used to quantify large amounts of electrical energy production or consumption. Let's break down what this means and explore its significance.

Understanding Gigawatt-hours

A gigawatt-hour represents the amount of energy equivalent to one gigawatt (one billion watts) operating for one hour. Since power is the rate at which energy is used or generated, a gigawatt-hour is a measure of total energy transferred or consumed over time.

The relationship between power, energy and time is:

Energy=Power×TimeEnergy = Power \times Time

Where:

  • Energy is in Gigawatt-hours (GWh)
  • Power is in Gigawatts (GW)
  • Time is in hours (h)

Formation of Gigawatt-hours

Gigawatt-hours are formed by scaling up from smaller units of energy:

  • Watt (W): The base unit of power in the SI system. It measures the rate of energy transfer.
  • Watt-hour (Wh): The amount of energy consumed by a 1-watt device operating for 1 hour.
  • Kilowatt-hour (kWh): 1,000 watt-hours. Commonly used on electricity bills.
  • Megawatt-hour (MWh): 1,000 kilowatt-hours or 1,000,000 watt-hours.
  • Gigawatt-hour (GWh): 1,000 megawatt-hours or 1,000,000,000 watt-hours.

Real-World Examples

  • Annual energy consumption of a city: A medium-sized city might consume several GWh of electricity per year.
  • Power plant output: A large coal or nuclear power plant can generate multiple GWh of electricity per day.
  • Renewable energy: A large wind farm or solar power plant can produce hundreds of GWh of electricity per year. For example, the average offshore wind farm generates around 1.4 GWh per turbine.
  • Data centers: Large data centers are big energy consumer. An average data center can consume around 1 GWh per year. However, bigger data centers can consume more than that.
  • Electric vehicle production Tesla's GigaFactory in Nevada consumes around 92 GWh per year
  • Battery storage Utility-scale battery storage such as Moss Landing Energy Storage Facility can supply 3GWh of energy.

Energy Consumption Context

To put Gigawatt-hours in perspective, it's good to understand the scale of consumption it represents. For example, The U.S. Energy Information Administration (EIA) estimates that the total U.S. electricity generation in 2022 was about 4,235 terawatt-hours (TWh). That's 4,235,000 GWh!

Associated Laws and Facts

While there isn't a specific law directly associated with gigawatt-hours, the increasing importance of energy efficiency and renewable energy sources has led to numerous policies and regulations aimed at reducing energy consumption and promoting the use of cleaner energy. This indirectly impacts the relevance and monitoring of GWh as a key metric.

For example, the European Union has set targets for reducing greenhouse gas emissions and increasing the share of renewable energy in its energy mix. These targets are often measured and tracked using GWh as a key indicator. You can see more about EU's 2030 climate & energy framework in Climate and energy framework at Council of the EU website.

Complete Kilocalories conversion table

Enter # of Kilocalories
Convert 1 kcal to other unitsResult
Kilocalories to Watt-seconds (kcal to Ws)4184
Kilocalories to Watt-minutes (kcal to Wm)69.733333333333
Kilocalories to Watt-hours (kcal to Wh)1.1622222222222
Kilocalories to Milliwatt-hours (kcal to mWh)1162.2222222222
Kilocalories to Kilowatt-hours (kcal to kWh)0.001162222222222
Kilocalories to Megawatt-hours (kcal to MWh)0.000001162222222222
Kilocalories to Gigawatt-hours (kcal to GWh)1.1622222222222e-9
Kilocalories to Joules (kcal to J)4184
Kilocalories to Kilojoules (kcal to kJ)4.184
Kilocalories to Megajoules (kcal to MJ)0.004184
Kilocalories to Gigajoules (kcal to GJ)0.000004184
Kilocalories to calories (kcal to cal)1000