How Do You Calculate the Mass of All the Water on Earth?

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SUMMARY

The mass of all the water on Earth can be calculated using the formula density = mass/volume. Given that water covers approximately 2/3 of the Earth's surface, the volume can be estimated by multiplying 2/3 by the Earth's surface area and the average depth of the oceans. Although this calculation assumes that seawater has the same density as freshwater, it provides a reasonable approximation for the mass of Earth's water. Clarification on the specific parameters provided in the question is essential for accurate calculations.

PREREQUISITES
  • Understanding of basic physics concepts, specifically density and volume calculations.
  • Familiarity with Earth's surface area and ocean depth metrics.
  • Knowledge of the difference between freshwater and seawater densities.
  • Basic mathematical skills for performing calculations.
NEXT STEPS
  • Research the average depth of the world's oceans to refine volume calculations.
  • Learn about the surface area of Earth and its implications for water coverage.
  • Investigate the density variations between freshwater and seawater.
  • Explore advanced methods for calculating mass in fluid dynamics.
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Students in physics or environmental science, educators teaching Earth science, and anyone interested in hydrology or geophysics.

Brewer
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If I've been given the density of water, how do I go about calculating the mass of all the water on Earth.

Of course, density = m/v, and whilst water covers 2/3 (?) of the Earths surface, how can I work this into the volume? Would it be the 2/3 * surface area of Earth * average depth of the oceans?

This is assuming that sea water has the same density as fresh water (which is obviously not the case, but still - its what the question states)
 
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That equation is a good approximation if the surface area of the Earth around the depth you are told is comparable to the surface area of the surface of the earth. I'm a little unsure what you're actually given in the question and what you're not, though.
 

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