First slide

Kinetic theory of ideal gases

Question

The root mean square (rms) speed of oxygen molecules (O₂) at a certain absolute temperature is v. If the temperature is doubled and oxygen gas dissociates into atomic oxygen, rms speed would be

Easy

A

v
B

$\sqrt{2} v$
C

$2 v$
D

$2 \sqrt{2} v$

Solution

$v = \sqrt{\frac{3 R T}{M}} α \sqrt{\frac{T}{M}}$
Temperature is doubled. When gas dissociates, molecular weight halves. So, velocity doubles.

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