Will these changes increase, decrease, or have no effect on the mean free path of the molecules in a gas sample?

increasing temperature.

We are asked to determine the effect of an increase in temperature on the mean free path of the molecules in a gas sample.

Recall:

The mean free path is the average distance a gas molecule will travel before colliding with another molecule, and it is related to the relative velocities and densities of potential collision partners. Assuming ideal gas behavior, the mean free path, *λ*, between two gas-phase molecules can be related to the temperature *T* and pressure *P* within an enclosed system (such as a molecular beam chamber) as follows:

$\overline{){\mathbf{\lambda}}{\mathbf{=}}\frac{\mathbf{RT}}{\sqrt{\mathbf{2}{\mathbf{\pi d}}^{\mathbf{2}}}\mathbf{}{\mathbf{N}}_{\mathbf{A}}\mathbf{P}}}$

Kinetic Molecular Theory

Kinetic Molecular Theory

Kinetic Molecular Theory

Kinetic Molecular Theory