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Physical Properties of Boron Family

Uranium has t...

Question

Uranium has two isotopes of masses $235$ and $238$ units. If both of them are present in uranium hexafluoride gas, find the percentage ratio of difference in rms velocities of two isotopes to the rms velocity of heavier isotope

1.64

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0.064

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0.64

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6.4

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Solution

The correct option is C $0.64$
$V = \sqrt{\frac{γ R T}{M}} \frac{V_{1} - V_{2}}{V_{2}} \times 100 = \frac{\sqrt{M_{1}} - \sqrt{M_{2}}}{\sqrt{M_{2}}} \times 100 = \frac{\sqrt{238} - \sqrt{235}}{\sqrt{235}} \times 100 = 0.64$

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An element with atomic mass z has two isotopes having atomic masses (z-1) and (z+2). Find out the percentage abundance of heavier isotope.

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