There are two important isotopes of uranium, 235 U and 238 U ; these isotopes are nearly identical chemically but have different atomic masses. Only 235 U is very useful in nuclear reactors. Separating the isotopes is called uranium enrichment (and is often in the news as of this writing, because of concerns that some countries are enriching uranium with the goal of making nuclear weapons.) One of the techniques for enrichment, gas diffusion, is based on the different molecular speeds of uranium hexafluoride gas, UF6 . (a) The molar masses of 235 U and 238 UF6 are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of their typical speeds vrms ? (b) At what temperature would their typical speeds differ by1.00 m/s? (c) Do your answers in this problem imply that this technique may be difficult?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 14OQ: An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900...
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There are two important isotopes of uranium, 235 U and 238 U ; these isotopes are nearly identical chemically but have different atomic masses. Only 235 U is very useful in nuclear reactors. Separating the isotopes is called uranium enrichment (and is often in the news as of this writing, because of concerns that some countries are enriching uranium with the goal of making nuclear weapons.) One of the techniques for enrichment, gas diffusion, is based on the different molecular speeds of uranium hexafluoride gas, UF6 . (a) The molar masses of 235 U and 238 UF6 are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of their typical speeds vrms ? (b) At what temperature would their typical speeds differ by
1.00 m/s? (c) Do your answers in this problem imply that this technique may be difficult?

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