1. Calculate the rms speed of helium atoms near the surface of the Sun at a temperature of about `6000\ K`.

2. Show that the rms speed of molecules in a gas is given by `v_(rms) = sqrt(3P//ρ)`, where `P` is the pressure in the gas, and `ρ` is the gas density.

3. Show that for a mixture of two gases at the same temperature, the ratio of their rms speeds is equal to the inverse ratio of the square roots of their molecular masses.