Solved: ?The total rate at which power is used by humans worldwide is approximately 15

Chapter 1, Problem 1.87

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The total rate at which power is used by humans worldwide is approximately 15 TW (terawatts). The solar flux averaged over the sunlit half of Earth is 680 W/m2 (assuming no clouds). The area of Earth’s disc as seen from the Sun is 1.28  1014 m2. The surface area of Earth is approximately 197,000,000 square miles. How much of Earth’s surface would we need to cover with solar energy collectors to power the planet for use by all humans? Assume that the solar energy collectors can convert only 10% of the available sunlight into useful power.

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