Help is needed for converting units of a simple formula

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SUMMARY

The discussion focuses on converting a volume mixing ratio from [m3/m3] to [molecules/cm3] using the ideal gas law and Avogadro's hypothesis. The temperature is specified as 293K and the air density as 1 kg/m3. Participants emphasize the need to understand how to convert gas volume to moles and subsequently to molecules, highlighting the importance of density in determining pressure for calculations. The conversion process is essential for determining the number of gas molecules present in a specified volume of air.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Familiarity with Avogadro's hypothesis
  • Knowledge of unit conversions between volume and moles
  • Basic principles of gas density and its relation to temperature
NEXT STEPS
  • Study the ideal gas law and its applications in real-world scenarios
  • Learn about Avogadro's number and its significance in chemistry
  • Research methods for converting gas volume to moles and then to molecules
  • Explore the relationship between gas density, temperature, and pressure
USEFUL FOR

Chemists, environmental scientists, and anyone involved in atmospheric studies or gas mixing calculations will benefit from this discussion.

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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!
 
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[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?
 
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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.
 

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