Calculating the mass of the earth's atmosphere

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SUMMARY

The total mass of the Earth's atmosphere can be calculated using the formula for pressure at sea level and the gravitational force. The relevant choices for the mass of the atmosphere are provided, with the correct answer being approximately 5 E18 kg. The discussion emphasizes that knowledge of the atmosphere's depth or density is not necessary for this calculation, focusing instead on the relationship between pressure and force.

PREREQUISITES
  • Understanding of basic physics concepts such as pressure and force.
  • Familiarity with the gravitational constant (g).
  • Knowledge of the formula PA = F (Pressure Area = Force).
  • Basic mathematical skills for manipulating scientific notation.
NEXT STEPS
  • Research the relationship between atmospheric pressure and altitude.
  • Learn about the composition and structure of the Earth's atmosphere.
  • Study the gravitational force and its impact on atmospheric mass calculations.
  • Explore advanced topics in fluid dynamics related to atmospheric science.
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Students studying physics, educators teaching atmospheric science, and anyone interested in understanding the calculations related to the Earth's atmosphere.

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Homework Statement


Given that the radius of the Earth is 6.4 x 10^6 m, the total mass of the Earth's atmosphere is approximately________kg?

Choices:
a) 5 E16
b) 1 E18
c)5 E18
d)1 E20
e) 5 E9

Homework Equations



What is the depth of the Earth's atmosphere? What is the density?

The Attempt at a Solution

 
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You don't need to know the depth of the Earth's atmosphere to answer this question, or it's density. What is the pressure at sea level? Pressure is what divided by what?
 
OHHH okay. PA=F. Then can find mass. (divide by g) YAY thank you!
 

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