Question

The rms speed of oxygen molecules at a certain temperature T is v. If the temperature is doubled and oxygen gas dissociates into atomic oxygen, then the rms speed.

• A. doubles
• B. None of above
• C. quadrupled
• D. remains same

Answer 1

The correct option is A doubles

Formula used: $v_{rms}=\sqrt{\frac{3RT}{M}}$

The root Mean square velocity is given by

$v_{rms}=\sqrt{\frac{3RT}{M}}$

Given: $M^{\prime }=\frac{M}{2},T^{\prime }=2T$

$v_{rms}=\sqrt{\frac{3RT}{M}}$

$v^{\prime }=\sqrt{\frac{3R\left(2T\right)}{M/2}}=2\sqrt{\frac{3RT}{M}}=2v_{rms}$

FINAL ANSWER: (b)