
Concept explainers
(a)
Interpretation:
Mean free path of Argon gas has to be calculated.
Concept Introduction:
Mean free path: It is the average distance travelled by a particle between two collisions. It can be calculated using the given formula.
Here,
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
Here,
n is the moles of gas
P is the Pressure
V is the Volume
T is the Temperature
R is the gas constant
(a)

Answer to Problem 119QRT
Mean free path of Argon gas is
Explanation of Solution
Diameter of the atom is determined as follows,
Volume occupied by
Therefore, number of molecules of Argon gas is calculated as given below,
Mean free path of Argon gas is calculated as follows,
(b)
Interpretation:
Mean free path is how many times higher than the diameter of Argon atom has to be calculated.
(b)

Answer to Problem 119QRT
Mean free path is 1390 times higher than the diameter of Argon atom.
Explanation of Solution
Diameter of the atom is determined as follows,
Mean free path of Argon gas is
Mean free path can be compared with the diameter as shown below,
Therefore, mean free path is 1390 times higher than the diameter of Argon atom.
(c)
Interpretation:
Pressure required to change the mean free path of Argon has to be calculated.
Concept Introduction:
Mean free path: It is the average distance travelled by a particle between two collisions. It can be calculated using the given formula.
Here,
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
Here,
n is the moles of gas
P is the Pressure
V is the Volume
T is the Temperature
R is the gas constant
(c)

Answer to Problem 119QRT
Pressure required to change the mean free path of Argon is
Explanation of Solution
Diameter of the atom is determined as follows,
Number of molecules of Argon gas present in
Ratio of moles to liters is calculated to obtain the pressure.
Pressure required to change the mean free path of Argon is calculated using
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Chapter 8 Solutions
Chemistry: The Molecular Science
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