A bottle contains 1.0 mol He (g) and a second bottle contains 1.0 mol Ar (g) at the same temperature. At that temperature, the root mean square speed of He is 1477 m· s^–1 and that of Ar is 467 m· s^–1. What is the ratio of the number of He atoms in the first bottle to the number of Ar atoms in the second bottle having these speeds? Assume that both gases behave ideally.