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Question: The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled,...

The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is –

A

2\sqrt{2}v

B

v

C

2v

D

4v

Answer

2v

Explanation

Solution

VRMS = 3RTM.W.\sqrt{\frac{3RT}{M.W.}} \ (2v)