(simple?) question on number of molecules in an area

In summary, the number of molecules in a given area can be calculated by dividing the area by the molecule's diameter, and then multiplying that by the Avogadro's number (6.02 x 10^23). It can also be determined experimentally using techniques such as scanning electron microscopy or atomic force microscopy. The number of molecules in an area is directly proportional to the concentration of a substance, and can be affected by factors such as temperature, pressure, and the type of substance present. However, the number of molecules in an area is not constant and can change depending on the conditions and environment.
  • #1
rwooduk
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Homework Statement


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Homework Equations


Please see below.

The Attempt at a Solution



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I'm probably being really stupid here but how can the number of molecules equal

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If we integrate we get a volume multiplied by density, how can that equal a number of particles?
 
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  • #2
##\rho## is not a mass density (kg/m3) but a particle density (number of particles/m3).
 
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  • #3
BvU said:
##\rho## is not a mass density (kg/m3) but a particle density (number of particles/m3).

Of course! many thanks for clearing this up.
 

1. How do you calculate the number of molecules in a given area?

The number of molecules in a given area can be calculated by dividing the area by the molecule's diameter, and then multiplying that by the Avogadro's number (6.02 x 10^23).

2. Can the number of molecules in an area be determined experimentally?

Yes, the number of molecules in an area can be determined experimentally by using techniques such as scanning electron microscopy or atomic force microscopy.

3. How does the number of molecules in an area relate to the concentration of a substance?

The number of molecules in an area is directly proportional to the concentration of a substance. As the concentration increases, the number of molecules in that area will also increase.

4. What factors can affect the number of molecules in an area?

The number of molecules in an area can be affected by various factors such as temperature, pressure, and the type of substance present in the area.

5. Is the number of molecules in an area constant?

No, the number of molecules in an area is not constant. It can change depending on the conditions and environment of the area, such as changes in temperature or pressure.

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