At about what pressure would the mean free path of an air

Chapter 1, Problem 63P

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QUESTION:

Problem 63P

At about what pressure would the mean free path of an air molecule at room temperature equal 10 cm, the size of a typical laboratory apparatus?

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QUESTION:

Problem 63P

At about what pressure would the mean free path of an air molecule at room temperature equal 10 cm, the size of a typical laboratory apparatus?

ANSWER:

Step 1

The mean free path of the molecule of the gas is given by

We also know that

Using the above two equation we can write that

Using this formula we have to calculate the pressure at which the mean free path  will be equal to the 10 cm.

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