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

Options

  1. A1.64
  2. B0.064
  3. C0.64
  4. D6.4

Correct answer

C. 0.64

Step-by-step solution

Given, Mass of first uranium isotope =238 units Mass of second uranium isotope =235 units We know that, aligned & v_ rms & = R T M & v_ rms & 1 M aligned So, the percentage ratio of difference in rms velocity of isotopes is given by aligned & V_ rms ₂ -V_ rms ₁ V_ rms ₂ 100 & = M₁ - M₂ M₁ 100 & = 238 - 235 238 100 aligned aligned & = 15.427-15.329 15.427 100= 0.097 15.427 100 & =6.34 10⁻³ 100=0.634 0.64 aligned

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