Worksheet: Mean Free Path of Gas Molecules
In this worksheet, we will practice applying the mean free path of a particle in an ideal gas given the pressure and temperature of the gas.
For the equations of hydrodynamics to apply to a highly compressible fluid, the mean free path must be much less than the linear size of a volume , where is a small volume of fluid. For air in the stratosphere at a temperature of 220 K and a pressure of 5.8 kPa, determine the value of that is 100 times greater than the mean free path of molecules in the air. Use a value of m as the effective radius of the molecules in air.
The mean free path for helium at a certain temperature and pressure is m. Use a value of m for the radius of a helium atom.
What is the density of helium under these conditions in molecules per cubic meter?
- A molecules/m3
- B molecules/m3
- C molecules/m3
- D molecules/m3
- E molecules/m3
What is the density of helium under these conditions in moles per cubic meter?
- A mol/m3
- B mol/m3
- C mol/m3
- D mol/m3
- E mol/m3
Find the total number of collisions between molecules in 1.70 s interval within 1.25 L of nitrogen gas that is at a temperature of and at a pressure of 1.00 atm. Use m as the effective radius of a nitrogen molecule and use a value of 28.0 g/mol for the molar mass of nitrogen. Consider that each collision involves two molecules, therefore if a molecule collides with a molecule during a time interval, the collision of either molecule or molecule is counted, but not both.