Question

The two isotopes of uranium, 235U (atomic mass 235.04 amu) and 238U (atomic mass 238.05 amu),...

The two isotopes of uranium, 235U (atomic mass 235.04 amu) and 238U (atomic mass 238.05 amu), can be separated by a gas-diffusion process by combining them with fluorine to make the gaseous compound UF6 (atomic mass of fluorine is 18.998 amu).

Part A

Calculate the ratio of the rms speeds of these molecules for the two isotopes, at constant T.

Express your answer using five significant figures.

(vrms)235UF6(vrms)238UF6

vrms235UF6vrms238UF6

=

nothing

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Solution)

The atomic weight of the fluorine is 19 The molecular weight of the 23SUF, 349 g/mol 23SUF, 352g/mol According to kinetic theory of gases, it can be demonstrated that the RMS average speecd of the molecule is RT NI Therefore, the ratio of the speeds, at any given temperature is BRT 352) 3RT 349) 352 349 -1.0042

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