What is the ratio of the velocities of 2 moles of hydrogen to five moles of helium?(a) \(\sqrt{14}\)(b) \(\sqrt{10}\)(c) \(\sqrt{20}\)(d) \(\sqrt{50}\)The question was posed to me by my school teacher while I was bunking the class.This key question is from States of Matter topic in chapter States of Matter of Chemistry – Class 11

What is the ratio of the velocities of 2 moles of hydrogen to five mol

1.	What is the ratio of the velocities of 2 moles of hydrogen to five moles of helium?(a) \(\sqrt{14}\)(b) \(\sqrt{10}\)(c) \(\sqrt{20}\)(d) \(\sqrt{50}\)The question was posed to me by my school teacher while I was bunking the class.This key question is from States of Matter topic in chapter States of Matter of Chemistry – Class 11
Answer» The correct choice is (b) \(\sqrt{10}\) Best explanation: The formula of average speed is given by \(\sqrt{2RT/M}\). We KNOW that the velocity of gas molecules is inversely PROPORTIONAL to the root over the MASS of the gas. So here the RATIO of velocities is \(\sqrt{5×4/2×1}\) = \(\sqrt{10}\).

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