How to calculate atmospheric pressure?

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Discussion Overview

The discussion revolves around calculating atmospheric pressure based on the composition of an atmosphere, the mass of the planet, and its dimensions. Participants explore the necessary parameters and equations for determining atmospheric pressure, addressing both theoretical and practical aspects of the calculation.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants suggest that knowing the mass of the atmosphere is essential for calculating atmospheric pressure.
  • Others clarify that the composition of the atmosphere should include the quantity of each gas to determine the total mass accurately.
  • One participant proposes that to find atmospheric pressure, one can divide the weight of the atmosphere by the total surface area of the planet.
  • There is a discussion about the units used for weight and surface area, with one participant noting discrepancies in their calculations for Earth's atmospheric pressure.
  • Another participant points out potential arithmetic errors and emphasizes the importance of using the correct radius of the Earth in calculations.
  • Concerns are raised about the precision of the computed output relative to the input values.
  • One participant mentions the need to multiply by gravitational acceleration (g) in their calculations.

Areas of Agreement / Disagreement

Participants generally agree on the need for specific parameters to calculate atmospheric pressure, but there are multiple competing views regarding the correct approach and units to use. The discussion remains unresolved regarding the exact calculations and results.

Contextual Notes

Participants express uncertainty about the correct values for the radius of the Earth and the implications of using different units in their calculations. There are also discussions about the significance of precision in the results based on the input data.

The Exestentialist
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Let's say I had the composition of an atmosphere, the mass of the planet it was on, and the diameter/density of said planet. First, what else, if anything, would I need to find the atmospheric pressure? Second, what would the equation for doing so be?
 
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You need the mass of the atmosphere.
 
DrStupid said:
You need the mass of the atmosphere.
By composition, I meant quantity of each gas.
 
The Exestentialist said:
By composition, I meant quantity of each gas.
If you know the total mass of each gas separately then you know the total mass of all the gasses put together.

If you know only the percentages (by weight) then what you know will not help you find the pressure you seek.
 
To get the pressure at the surface, which is usually referred to as the atmospheric pressure, just divide the weight of the atmosphere mg by the total surface area of the planet.
 
Chestermiller said:
To get the pressure at the surface, which is usually referred to as the atmospheric pressure, just divide the weight of the atmosphere mg by the total surface area of the planet.
In what units? I tried this with Earth's atmosphere and I didn't get the right answer.
 
The Exestentialist said:
In what units? I tried this with Earth's atmosphere and I didn't get the right answer.
What units did you use for the weight of the Earth's atmosphere and the surface area of the planet and what answer did you get?
 
jbriggs444 said:
What units did you use for the weight of the Earth's atmosphere and the surface area of the planet and what answer did you get?
I used 5.1x1018 kg for the atmosphere's weight and 4*π*12,742,0002 m2 for the surface area of the Earth. I got 2,499,684 kg/m2
 
The Exestentialist said:
I used 5.1x1018 kg for the atmosphere's weight and 4*π*12,742,0002 m2 for the surface area of the Earth. I got 2,499,684 kg/m2
Check your arithmetic and check your figure for the radius of the Earth in meters. I get around 11,000 kg/m2 on the back of an envelope.

Edit: 7 significant figures of computed output on an input that is only stated to 2 digits reflects more precision than is justified.
 
  • #10
Radius. Sigh. I hate when I make stupid mistakes like that. Thank you all for your help.
 
  • #11
The Exestentialist said:
In what units? I tried this with Earth's atmosphere and I didn't get the right answer.
Pa
 
  • #12
jbriggs444 said:
Check your arithmetic and check your figure for the radius of the Earth in meters. I get around 11,000 kg/m2 on the back of an envelope.

Edit: 7 significant figures of computed output on an input that is only stated to 2 digits reflects more precision than is justified.
Don't forget to multiply by g.
 
  • #13
Chestermiller said:
Don't forget to multiply by g.
I was assuming kilograms-force, but yes, I agree.
 

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