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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

The rms speed of N _ 2 molecules in a gas is u . If the temperature...

The rms speed of N2{N}_{2} molecules in a gas is u\text{u}. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

Options

  1. A2u2\text{u}
  2. B4u4u
  3. C14u14u
  4. D2u\sqrt{2} \text{u}

Correct answer

A. 2u2\text{u}

Step-by-step solution

u1u2=n1T1n2T2=n×T2n×2T=14=12\dfrac{u1}{u2} = \sqrt{\dfrac{{n}_{1}{T}_{1}}{{n}_{2}{T}_{2}}} = \sqrt{\dfrac{n \times T}{2n \times 2T}} = \sqrt{\dfrac{1}{4}} = \dfrac{1}{2}
∴u2=2u1∴ {u}_{2} = 2{u}_{1}
Therefore, If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes double.
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