Answer: Modern vacuum pumps make it easy to attain

Chapter 18, Problem 24E

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QUESTION:

Problem 24E

Modern vacuum pumps make it easy to attain pressures of the order of 10-13 atm in the laboratory. Consider a volume of air and treat the air as an ideal gas. (a) At a pressure of 9.00 X 10-14 atm and an ordinary temperature of 300.0 K, how many molecules are present in a volume of 1.00 cm3? (b) How many molecules would be present at the same temperature but at 1.00 atm instead?

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QUESTION:

Problem 24E

Modern vacuum pumps make it easy to attain pressures of the order of 10-13 atm in the laboratory. Consider a volume of air and treat the air as an ideal gas. (a) At a pressure of 9.00 X 10-14 atm and an ordinary temperature of 300.0 K, how many molecules are present in a volume of 1.00 cm3? (b) How many molecules would be present at the same temperature but at 1.00 atm instead?

ANSWER:
Step 1 of 3

We will use the ideal gas equation to calculate the number of atoms.

The ideal gas equation is

Here  is the boltzmann constant and N is the number of atoms. Using, so we have

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