TS EAMCET · Physics · Kinetic Theory of Gases
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.
- A 1.64
- B 0.064
- C 0.64
- D 6.4
Answer & Solution
Correct Answer
(C) 0.64
Step-by-step Solution
Detailed explanation
Given, Mass of first uranium isotope \(=238\) units Mass of second uranium isotope \(=235\) units We know that, \[ \begin{aligned} & v_{\text {rms }} & =\sqrt{\frac{\gamma R T}{M}} \\ \Rightarrow & v_{\text {rms }} & \propto \frac{1}{\sqrt{M}} \end{aligned} \] So, the percentage…
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