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? (a) The velocity of atomic oxygen remains same (b) The velocity of atomic oxygen doubles (c) The velocity of atomic oxygen becomes half (d) The velocity of atomic oxygen becomes four times

Answer: (b). vrms ∝ √(T/M) T → 2T, M → M/2: T/M becomes 4 times, vrms becomes 2 times So the answer is (b) the velocity doubles.

What will be the effect on the root mean square velocity of oxygen… | JEE Main 2022 (28 Jun, Shift 2)

Q55JEE Main 2022 · 28 JUN · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

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?

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Answer: (b)

$v_{rms} \propto \sqrt{\frac{T}{M}}$
$T \to 2T$ , $M \to \frac{M}{2}$ : $\frac{T}{M}$ becomes 4 times, $v_{rms}$ becomes 2 times
So the answer is (b) the velocity doubles.

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Molecular Speeds & Maxwell Distribution question from JEE Main 2022 (28 Jun, Shift 2)

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