What will be the effect on the root mean square velocity of oxygen molecules if the temperagture is doubled and oxygen molecule dissociates into atomic oxygen?

Option 1 -

The velocity of atomic oxygen remains same

Option 2 -

The velocity of atomic oxygen doubles

Option 3 -

The velocity of atomic oxygen becomes half

Option 4 -

The velocity of atomic oxygen becomes four times

3 Views | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

2 months ago

Correct Option - 2

Detailed Solution:

V_rms = $\sqrt[]{\frac{3 R T}{M}}$

V_rms’ = $\sqrt[]{\frac{3 R T_{f}}{m_{f}}} = \sqrt[]{\frac{3 R \times 2 T \times 2}{M}}$ $[\begin{matrix} G i v e n, T_{f} = 2 T & M_{f} = \frac{M}{2} \end{matrix}]$

$= 2 \sqrt[]{\frac{3 R T}{M}}$

V_rms’ = 2V_rms

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