Verify the claim made at the start of this chapter that the Sun produces more energy per second than all the electric power plants on Earth could generate in a half-million years. Estimate or look up how many power plants there are on the planet, and how much energy an average power plant produces. Be sure to account for different kinds of power-for example, coal, nuclear, wind.

Short Answer

Expert verified
The Sun produces more energy in one second than all of Earth's power plants do in half a million years.

Step by step solution

01

Approximate the number of power plants on Earth

Estimate or look up the current number of power plants around the globe. Consider including different types such as coal, nuclear, hydroelectric, and wind. For simplicity, let's assume there are about 50,000 power plants on Earth.
02

Estimate energy production per power plant

Determine the average amount of energy each power plant produces per year. Assume an average power plant generates approximately 500 megawatts (MW) of power, which translates to 500 MW * 8760 hours/year = 4.38 million megawatt-hours (MWh) annually.
03

Calculate total energy production from all power plants per year

Multiply the number of power plants by the average energy production per plant per year: 50,000 power plants * 4.38 million MWh/plant/year = 219 billion MWh/year.
04

Convert energy production to a half-million years

Calculate the total energy produced by all power plants in 500,000 years: 219 billion MWh/year * 500,000 years = 1.095 * 10^{17} MWh.
05

Estimate the Sun's energy output per second

The Sun's output is approximately 3.8 * 10^{26} Watts (or Joules/second), which when converted to MWh per second is 3.8 * 10^{20} MWh/second.
06

Compare the Sun's output to Earth's power plants

Compare the total energy produced by Earth's power plants in a half-million years to one second of the Sun's energy: 1.095 * 10^{17} MWh < 3.8 * 10^{20} MWh. Thus, the Sun produces far more energy in one second than Earth's power plants produce in 500,000 years.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Power Plants Energy Output
Electric power plants are facilities that generate electricity by converting various types of energy like coal, nuclear, hydroelectric, and wind energy into electrical power. On Earth, there are various kinds of power plants:
- **Coal plants** burn fossil fuels to heat water and generate steam that drives turbines.
- **Nuclear power plants** use nuclear fission reactions to produce steam that powers turbines.
- **Hydroelectric dams** use the flow of water to turn turbines directly.
- **Wind farms** harness wind energy to generate electricity with large wind turbines.
It's estimated that there are about 50,000 power plants across the globe. An average power plant produces approximately 500 megawatts (MW) of power. This translates to about 4.38 million megawatt-hours (MWh) annually.
Global Energy Production
Global energy production is the total energy generated by all power plants around the world. To get a sense of this, consider that there are roughly 50,000 power plants worldwide, each producing 4.38 million megawatt-hours (MWh) each year. This sums up to 219 billion MWh/year in terms of global energy production. This energy powers homes, industries, and keeps our society functioning. Energy sources vary widely across the globe, with different regions relying more on certain types of power plants based on resources availability and policies.

This diverse energy mix ensures a reliable supply of energy but also comes with the challenge of balancing and integrating various energy sources into the grid.

Energy Comparison
Comparing the energy output of the Sun to all the power plants on Earth highlights an astounding difference. The Sun produces about 3.8 * 10^{26} Watts, or 3.8 * 10^{20} megawatt-hours (MWh) per second! In contrast, all the power plants on Earth combined produce 219 billion MWh annually.

This means:
- In one year, Earth's power plants produce 2.19*10^11 MWh
- In 1 million years, they produce roughly 2.19*10^{17} MWh
This immense amount of energy falls short hugely when compared to the Sun's energy production for only one second, which is 3.8 * 10^{20} MWh per second.

This comparison truly underscores the Sun's incredible power and highlights our dependency on its energy, even indirectly through various forms like solar power. Understanding these magnitudes helps appreciate the vast energy scales of our universe.

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Most popular questions from this chapter

Energy is produced primarily in the center of the Sun because a. the strong nuclear force is too weak elsewhere. b. that's where neutrinos are created. c. that's where most of the helium is. d. the outer parts have lower temperatures and pressures.

True or false: The Maunder Minimum shows a correlation between low solar activity and a cooler climate on Earth. This correlation means that the low solar activity definitely caused the cooler climate.

Coronal mass ejections a. carry away 1 percent of the mass of the Sun each year. b. are caused by breaking magnetic fields. c. are always emitted in the direction of Earth. d. are unimportant to life on Earth.

(a) Go to the National Ignition Facility (NIF) website (https://lasers.llnl.gov/about/nif). Under "Programs," click on "Internal Fusion Energy" and then "How to Make a Star."How are lasers used in experiments to develop controlled nuclear fusion on Earth? How does the fusion reaction here differ from that in the Sun? (b) An alternative approach is to fuse \(^{3} \mathrm{He}+^{3} \mathrm{He}\) instead of the hydrogen isotopes. But on Earth, \(^{3} \mathrm{He}\) is found in limited supply. \(^{3}\) He is in much greater abundance on the Moon, so some people propose setting up mining colonies on the Moon to extract \(^{3}\) He for fusion reactions on Earth. Do a search on "helium 3 moon." Which countries are talking about going to the Moon for this purpose? What is the timeline for when this might happen? What are the difficulties?

Energy balance in the Sun means that a. the Sun does not change over time. b. the Sun absorbs and emits equal amounts of energy. c. radiation pressure balances the weight of overlying layers. d. energy produced in the core equals energy emitted at the surface.

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