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What is the ratio of root mean square speed of 16 grams of Oxygen to 4 grams of hydrogen?

(a) 2

(b) 3

(c) 4

(d) 1

I have been asked this question in an interview for internship.

This interesting question is from States of Matter in chapter States of Matter of Chemistry – Class 11

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The correct answer is (a) 2

The explanation: The formula of root mean square speed of particles is given as \(\sqrt{3RT/M}\). We know that the velocity of gas molecules is inversely proportional to the root over the mass of the gas here the mass of oxygen to the mass of hydrogen ratio is the answer. So \(\sqrt{16/4}\) = 2.

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