A flexible weather balloon contains helium gas at a volume of 855 L. Initially, the balloon is at sea level, where the temperatu
re is 25oC and the barometric pressure is 0.947 atm. The balloon then rises to an altitude of 5500 ft, where the pressure is 0.783 atm and the temperature is 15oC. What is the change in the volume of the balloon as it ascends from sea level to 5500?
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The mean free path of the O₂ molecule is m.
The mean free path of the O₂ molecule is calculated by the formula -
λ =
In this formula, λ represents mean free path of gas, d represents diameter and n is number of molecules.
As per the known fact, 1 mole of gas occupies 22.4 liter at STP.
So. 1 liter of O₂ gas will have number of moles =
Number of moles = 0.045
Also, we are aware that 1 mole contains molecules.
So, 0.045 moles will contain number of molecules =
Number of molecules = molecules
Now, keeping the values in formula to find mean free path of gas -
λ =
λ =
λ = m
Hence, the mean free path of the O₂ molecule is m.
Learn more about calculation of mean free path -
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