World energy consumption, averaged over a year, is currently...

World energy consumption, averaged over a year, is currently around 18 'TW $\left(18 \times 10^{12} \mathrm{~W}\right)$. The average solar irradiance at Earth's surface is around $20 \mathrm{MJ} / \mathrm{m}^2$ per day. What fraction of the surface area of the Farth would be required to provide all energy needs from solar power, if the conversion efficiency is $10 \%$ ?

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Key Concepts

Conversion Efficiency

Conversion efficiency refers to the percentage of available energy that can be successfully converted into a useful form, such as electricity. In the context of solar power, it determines how effectively a solar panel or other technology transforms solar irradiance into usable electrical energy, influencing the overall design and area needed for energy capture.

Unit Conversion and Estimation

This concept involves converting between different units of energy and power, such as converting daily energy values to continuous power values. It also includes using these conversions to make order?of-magnitude estimates to determine the scale—such as the area required—to meet a specific energy demand.

World Energy Consumption

This concept involves understanding the total amount of energy used by society over a given period, typically expressed in power units such as watts or terawatts. It serves as a benchmark to evaluate the scale of energy production or capture systems required to meet societal needs.

Solar Irradiance

Solar irradiance is the power per unit area received from the Sun, typically measured in energy per unit area per unit time. It provides a measure of how much energy is available from sunlight at the Earth’s surface, which is crucial for determining potential energy yields from solar power systems.

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