Ideal gas question(thermal physics)

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Homework Help Overview

The discussion revolves around estimating the number of air molecules in an average-sized room using the ideal gas law. Participants are exploring the necessary parameters such as pressure, volume, and temperature to apply the relevant equations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster considers estimating the number of moles of air and multiplying by Avogadro's number to find the total number of molecules. Some participants question the values for pressure, volume, and temperature in a typical room setting.

Discussion Status

Participants are actively discussing the appropriate values for pressure and temperature, with some providing specific estimates. There is a focus on ensuring the correct units are used and clarifying assumptions about the room's dimensions.

Contextual Notes

There is a mention of the need to convert temperature to Kelvin and ensure pressure is in SI units. The dimensions of the room are also being debated, with some participants suggesting a more typical size than initially proposed.

Benzoate
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Homework Statement



estimate the number of air molecules in an average sized room

Homework Equations



possible equation: N=n*N(a) , N(a) being avogradro number. N being the number of molecules. PV=RTn

The Attempt at a Solution



So should I guesstimate what n should be and the multiply that by avogradro number to get my total number of molecules. Or maybe I should apply the Ideal gas equation to find n and then multiply n by N(a) to calculate N
 
Last edited:
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What is the P,V and T in an ordinary room?
 
malawi_glenn said:
What is the P,V and T in an ordinary room?

Room temperature is around 21 degrees celsius, P=1.01*10^5 pascals, and I guess in order to get the volume, I assume the room is equal to the shape of a cube and the length of an average room is around 25 meters. I can now calculate my volume by cubing the length of the side of the room./
 
Benzoate said:
Room temperature is around 21 degrees celsius, P=1.01*10^5 pascals, and I guess in order to get the volume, I assume the room is equal to the shape of a cube and the length of an average room is around 25 meters. I can now calculate my volume by cubing the length of the side of the room./


Check what you just wrote.. temp must be in kelvnin, and preassure in Si-units. And you have a VERY large room :P biggern than my house :)


let T = 300K, P = 1*10^5 N/m^2, and an average room is like 2.5m from floor to ceiling and 5m x 5m.
 

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