Chemistry

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\,\text{g\,mol}^{-1}

and gas B has a molar mass of

80\,\text{g\,mol}^{-1}

. Initially the entire mixture is at

300\,\text{K}

. The gas mixture is then heated to

600\,\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)

2.0

2.8

1.4

4.0

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