There are two important isotopes of uranium- ²³⁵U and ²³⁸U; these isotopes are nearly identical chemically but have different atomic masses. Only ²³⁵U is very useful in nuclear reactors. One of the techniques for separating them (gas diffusion) is based on the different average velocities v_rms of uranium hexafluoride gas, UF₆.

(a) The molecular masses for ²³⁵U UF₆ and ²³⁸U UF₆ are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of their average velocities? 

(b) At what temperature would their average velocities differ by 1.00 m/s? (c) Do your answers in this problem imply that this technique may be difficult?