The ideal gas law can be rearranged as a function of density (d) to drop the volume term.

So PV = nRT solved for T and include density ---->

T = P/Rd/n or T = Pn/Rd

This is the mean temperature (T in kelvin), mean pressure (P in KPa), mean density (d in kg/m^3) and the universal gas constant (R at 8.314 J/mol-K).

Mean surface pressure of Venus is 92.1 atmospheres = 9332 KPa.

Mean surface density of Venus is 67 kg/m^3.

Mean moles is 43.45

T = 9332*43.45/8.314*67 = 727.91 K = 454.76 C

Wiki says the following:

LINK

So the ideal gas law is off by 7.25 degrees C through this exercise. But that can be attributed to an inaccurate density published in wiki. If the density were 66.43 kg/m^3 instead of the documented 67 kg/m^3 the ideal gas law would have nailed the surface temperature published in wiki.

ETA: Here is a quote from a scientific paper on the density of Venus atmosphere:

quote:
Atmospheric density at the surface is about 65 kg m-3

LINK

So there is a little dependency between Wiki and this paper.

This post was edited on 6/4/19 at 5:17 pm

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Posted by Duke

Twin Lakes, CO

Member since Jan 2008

35710 posts

Posted on 6/4/19 at 5:15 pm to GumboPot

quote:
The ideal gas law can be rearranged as a function of density (d) to drop the volume term.

You set the temperature when you set the density. Of course it works out.

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Posted by WorkinDawg

Atlanta

Member since Sep 2012

9341 posts

Posted on 6/4/19 at 5:15 pm to GumboPot

quote:
The ideal gas law can be rearranged as a function of density (d) to drop the volume term.

So PV = nRT solved for T and include density ---->

T = P/Rd/n or T = Pn/Rd

This is the mean temperature (T in kelvin), mean pressure (P in KPa), mean density (d in kg/m^3) and the universal gas constant (R at 8.314 J/mol-K).

Mean surface pressure of Venus is 92.1 atmospheres = 9332 KPa.

Mean surface density of Venus is 67 kg/m^3.

Mean moles is 43.45

T = 9332*43.45/8.314*67 = 727.91 K = 454.76 C

Wiki says the following:

LINK

So the ideal gas law is off by 7.25 degrees C through this exercise. But that can be attributed to an inaccurate density published in wiki. If the density were 66.43 kg/m^3 instead of the documented 67 kg/m^3 the ideal gas law would have nailed the surface temperature published in wiki.

I was just about to say this

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Posted by PhDoogan

Member since Sep 2018

14947 posts

Posted on 6/4/19 at 7:23 pm to GumboPot

quote:

Is there proof that CO2 causes warming?
quote:
Can I impose on you to do that math for this chem/bio major?

The ideal gas law can be rearranged as a function of density (d) to drop the volume term.

So PV = nRT solved for T and include density ---->

T = P/Rd/n or T = Pn/Rd

This is the mean temperature (T in kelvin), mean pressure (P in KPa), mean density (d in kg/m^3) and the universal gas constant (R at 8.314 J/mol-K).

Mean surface pressure of Venus is 92.1 atmospheres = 9332 KPa.

Mean surface density of Venus is 67 kg/m^3.

Mean moles is 43.45

T = 9332*43.45/8.314*67 = 727.91 K = 454.76 C

Wiki says the following:

LINK

So the ideal gas law is off by 7.25 degrees C through this exercise. But that can be attributed to an inaccurate density published in wiki. If the density were 66.43 kg/m^3 instead of the documented 67 kg/m^3 the ideal gas law would have nailed the surface temperature published in wiki.

ETA: Here is a quote from a scientific paper on the density of Venus atmosphere:

quote:
Atmospheric density at the surface is about 65 kg m-3

LINK

So there is a little dependency between Wiki and this paper.