A Nitrogen Molecule Has a Diameter of About $0.29 \mathrm{~nm}$ the Mean Free Path of a Nitrogen Molecule in

A nitrogen molecule has a diameter of about $0.29 \mathrm{~nm}$ . The mean free path of a nitrogen molecule in a tank of dry nitrogen at room temperature $(293 \mathrm{~K})$ and standard pressure $(1 \mathrm{~atm})$ is about $0.10 \mu \mathrm{m}$ . A tank containing nitrogen at standard temperature $(273 \mathrm{~K})$ and pressure has volume $\mathrm{V}$ . If the tank is compressed by means of a piston to $20 \%$ of its original volume, what is the mean free path for a nitrogen molecule under the new conditions?

A) $0.125 \mu \mathrm{m}$
B) $0.112 \mu \mathrm{m}$
C) $0.020 \mu \mathrm{m}$
D) $0.080 \mu \mathrm{m}$