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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Chemistry
Chapter
States of Matter

AIIMS 2008 · Chemistry · States of Matter

The root mean square speed of the molecules of diatomic gas is u ....

The root mean square speed of the molecules of diatomic gas is uu. When the temperature is doubled, the molecules dissociate into two atoms. The new rms speed of the atom is

Options

  1. A(\sqrt{2} u)
  2. Buu
  3. C2u2 u
  4. D4u4 u.

Correct answer

C. 2u2 u

Step-by-step solution

u=3RTMu=\sqrt{\frac{3 R T}{M}} If T=2TT=2 T and M=M/2M=M / 2, then u1=3R×2TM/2u_1=\sqrt{\frac{3 R \times 2 T}{M / 2}} ∴u1u=4=2\therefore \quad \frac{u_1}{u}=\sqrt{4}=2
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