Solution Found!
Answer: Modern vacuum pumps make it easy to attain
Chapter 18, Problem 24E(choose chapter or problem)
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?
Questions & Answers
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: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