A rigid cylinder with a frictionless

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

A rigid cylinder with a frictionless, movable piston contains equal numbers of molecules of two monatomic ideal gases. Gas A has a molar mass of 20 g mol−120\,\text{g\,mol}^{-1} and gas B has a molar mass of 80 g mol−180\,\text{g\,mol}^{-1}. Initially the entire mixture is at 300 K300\,\text{K}. The gas mixture is then heated to 600 K600\,\text{K} while the piston allows the pressure to remain constant. What is the ratio of the final root-mean-square speed of gas A molecules to the initial root-mean-square speed of gas B molecules? (a) 2.02.0 (b) 2.82.8 (c) 1.41.4 (d) 4.04.0

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