Help is needed for converting units of a simple formula

  • Thread starter Thread starter han_123
  • Start date Start date
  • Tags Tags
    Formula Units
Click For Summary

Discussion Overview

The discussion revolves around converting a volume mixing ratio from [m3/m3] to [molecules/cm3], given specific conditions such as temperature (293K) and air density (1 kg/m3). The scope includes theoretical understanding and practical application of gas laws and conversions related to mixing ratios.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant asks how to convert a volume mixing ratio [m3/m3] to [molecules/cm3] under the given conditions.
  • Another participant notes that [m3/m3] is dimensionless while [molecules/cm3] has a physical dimension of L^-3, suggesting more details are needed for assistance.
  • Several participants reference Avogadro's hypothesis and the ideal gas law (PV = nRT) as foundational concepts for the conversion process.
  • There is confusion expressed about how to perform the conversion when only temperature and air density are provided.
  • A hint is provided that density at a given temperature can be used to find pressure, implying a potential method for the conversion.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the conversion process and the necessary details required to perform it. There is no consensus on a specific method or solution, and multiple viewpoints on the approach to the problem are presented.

Contextual Notes

Participants highlight limitations in the information provided, including the need for additional details about the exercise and the relationship between volume mixing ratios and molecular counts.

han_123
Messages
3
Reaction score
0
please post this type of questions in the homework forums, filling out the template
How would you convert a volume mixing ratio [m3/m3] to the units of [molecules/cm3]? The temperature is given to be 293K and the air density is 1 kg/m3. Please help!
 
Physics news on Phys.org
[m3/m3] has no physical dimension but [molecules/cm3] has physical dimension of L^-3. I am afraid some more details of the exercise are required to help you.
 
Do you know Avogadro's hypothesis?

And do you know how to convert gas volume to number of moles? Number of moles to number of molecules?
 
  • Like
Likes   Reactions: Bystander
Borek said:
Do you know Avogadro's hypothesis?

And do you know how to convert gas volume to number of moles? Number of moles to number of molecules?
Hi! Well not exactly. I know there is the ideal gas formula PV = nRT and that a mole contains the Avogadro number of molecules.

However, I am confused about how to convert a volume mixing ratio [m3/m3] or [mol/mol] to the units of [molecules/cm3] when only the temperature is given to be 293K and the air density is 1 kg/m3.

The goal is to find whenever a gas is mixed into an airspace at a certain ratio then how many molecules of that gas are to be found in one cm3.
 
anuttarasammyak said:
[m3/m3] has no physical dimension but [molecules/cm3] has physical dimension of L^-3. I am afraid some more details of the exercise are required to help you.
The volume mixing ratio can also be given in [mol/mol]. How do you convert a mol of gas into the number of molecules when only the air density and temperature are given?

The goal is to find whenever a gas is mixed into an airspace at a certain ratio then how many molecules of that gas are to be found in one cm3.
 
Hint: density at a given temperature is enough to find the pressure.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
6K
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
9
Views
4K
  • · Replies 9 ·
Replies
9
Views
8K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
10K
Replies
1
Views
2K