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The mean free path for helium at a certain temperature and pressure is 2.10×10−7m. The radius of a helium atom can be taken as 1.10×10−11m. What is the measure of the density of helium under those conditions

(a) in molecules per cubic meter?
(b) in moles per cubic meter?

User OverD
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Final answer:

To calculate the density of helium under certain conditions, one can use the volume of the helium atom and the number of atoms per cubic meter. The density can be measured in molecules per cubic meter or moles per cubic meter.

Step-by-step explanation:

The density of helium can be measured in molecules per cubic meter and moles per cubic meter. To calculate the density in molecules per cubic meter, we need to first find the volume of the helium atom.

The volume can be calculated using the radius of the helium atom, which is given as 1.10×10^(-11)m. The volume of a sphere can be found using the formula V = (4/3)πr^3. Once we have the volume of a helium atom, we can find the number of helium atoms per cubic meter by dividing the volume of a cubic meter by the volume of a helium atom.

To calculate the density in moles per cubic meter, we need to convert the number of helium atoms per cubic meter to moles. This can be done by dividing the number of helium atoms per cubic meter by Avogadro's number (6.022 × 10^23).

By using the given information and the formulas mentioned above, the density of helium can be calculated. Please note that the temperature and pressure values are not provided in the question, so it is not possible to give an exact answer.

However, the method to calculate the density is explained.

User Cromir
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