Q79 / 180 · AIIMS 2008 · Chemistry

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

  • A
    \(\sqrt{2} u\)
  • B
    \(u\)
  • Correct answer
    C
    \(2 u\)
  • D
    \(4 u\).

Solution

$u=\sqrt{\frac{3 R T}{M}}$ If $T=2 T$ and $M=M / 2$, then $u_1=\sqrt{\frac{3 R \times 2 T}{M / 2}}$ $\therefore \quad \frac{u_1}{u}=\sqrt{4}=2$

Hence, the correct answer is option: 'C'.

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