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# Uranium has two common isotopes, with atomic masses of 238

ISBN: 9780201380279 40

## Solution for problem 20P Chapter 1

An Introduction to Thermal Physics | 1st Edition

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Problem 20P

Uranium has two common isotopes, with atomic masses of 238 and 235. One way to separate these isotopes is to combine the uranium with fluorine to make uranium hexafluoride gas, UF6, then exploit the difference in the average thermal speeds of molecules containing the different isotopes. Calculate the rms speed of each type of molecule at room temperature, and compare them.

Step-by-Step Solution:

Step 1:

To find the rms speed of the molecules UF6 and UF6

Molar mass of Uranium 235 M235 = 235.043 g/mol

Molar mass of Uranium 238 M238 = 238.028 g/mol

Molar mass of Fluorine MF = 18.998

Assume the value of room temperature T = 300 K

Step 2:

The Uranium isotopes combine with fluorine to make uranium hexafluoride gas (UF6). Both isotopes provide unique molecules and they show differ in their rms speed.

Uranium hexafluoride gas consist of one Uranium atom and 6 fluorine atoms. Hence the molar masses of the UF6 molecules can be calculated as follows.

Molar mass of UF6 MUF6-235 = 235.043+6*18.998

MUF6-235 = 349.0 g/mol

Molar mass of UF6 MUF6-238 = 238.028 +6*18.998

MUF6-235 = 352.0 g/mol

Step 3:

Rms speed of a gas molecule

=

Where R is gas constant

R = 8.134 J.mol-1K-1

Step 4 of 6

Step 5 of 6

##### ISBN: 9780201380279

An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. The full step-by-step solution to problem: 20P from chapter: 1 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. The answer to “Uranium has two common isotopes, with atomic masses of 238 and 235. One way to separate these isotopes is to combine the uranium with fluorine to make uranium hexafluoride gas, UF6, then exploit the difference in the average thermal speeds of molecules containing the different isotopes. Calculate the rms speed of each type of molecule at room temperature, and compare them.” is broken down into a number of easy to follow steps, and 61 words. Since the solution to 20P from 1 chapter was answered, more than 325 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. This full solution covers the following key subjects: Isotopes, uranium, Masses, combine, common. This expansive textbook survival guide covers 10 chapters, and 454 solutions.

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