Learning Goal:

To practice Problem$-$Solving Strategy $18\mathrm{.}2$ Kinetic$-$molecular theory

At what temperature is the root$-$mean$-$square speed of nitrogen molecules equal to the root$-$mean$-$square speed of hydrogen molecules at $20\mathrm{.}0C?$

The molar mass of a nitrogen atom is $14\mathrm{.}0\frac{g}{m}ol$ and the molar mass of a hydrogen atom is $1\mathrm{.}01\frac{g}{m}ol.$

Part A

Below is a list of some of the relevant quantities in this problem; Subscripts $H_2$ and $N_2$ refer to the hydrogen and nitrogen molecules, respectively. Which of the following quantities are known?

Check all that apply.