Two isotopes of uranium, 235U and 238U (the superscripts refer to their atomic m

Question

Two isotopes of uranium, 235U and 238U (the superscripts refer to their atomic masses), can be separated by a gas diffusion process by combining them with fluorine to make the gaseous compound UF6.

Part A

Calculate the ratio of the rms speeds of these molecules for the two isotopes, at constant T. Use Appendix F in the textbook for masses.

Express your answer using four significant figures.

vrms235UF6/vrms238UF6 = Two isotopes of uranium. 235 and 238 U the U superscripts refer to their atomic masses), can be separated by a gas diffusion process by combining them with fluorine to make the gaseous compound UF Calculate the ratio of the rms speeds of these molecules for the two isotopes, at constant T Use Appendix F in the textbook for masses. Express your answer using four significant figures. vrTrns 235UF orms 238UF

Explanation / Answer

RMS speed is given by:

Vrms = sqrt (3RT/m)

Since Temperature is constant

Vrms2/Vrms1 = sqrt (m1/m2)

Mass of 235U = m1 = 349 gm/mol

Mass of 238U = m2 = 352 gm/mol

So ratio will be

Vrms1/Vrms2 = sqrt (m2/m1)

= sqrt (352/349) = 1.00429

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