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Thermodynamics Part 3

Section: Physics

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Question : 34 of 100

Marks: +1, -0

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

[28-Jun-2022-Shift-2]

The velocity of atomic oxygen remains same
The velocity of atomic oxygen doubles
The velocity of atomic oxygen becomes half
The velocity of atomic oxygen becomes four times

Solution:

As

v_{\text{r m s}} = \sqrt{\;\frac{3 R T}{M_0}}

T

is doubled and oxygen molecule is dissociated into atomic oxygen molar mass is halved.

So,

v_{\text{r m s}}' = \sqrt{\;\frac{3 R T \times 2 T_0}{\frac{M_0}{2}}} = 2 v_{\text{r m s}}

So velocity of atomic oxygen is doubled.

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