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(C) According to the ideal gas law $PV = nRT$,since $P$,$V$,and $T$ are the same for all vessels,the number of moles $n$ is the same. By Avogadro's la

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The root mean square speed of helium is the largest.

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(C) According to the ideal gas law $PV = nRT$,since $P$,$V$,and $T$ are the same for all vessels,the number of moles $n$ is the same. By Avogadro's law,the number of molecules is the same in all vessels.The root mean square speed $(V_{rms})$ of gas molecules is given by the formula:$V_{rms} = \sqrt{\frac{3RT}{M}}$where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.Since $R$ and $T$ are constant,$V_{rms} \propto \frac{1}{\sqrt{M}}$.The molar masses are:$M_{He} = 4 	ext{ g/mol}$$M_{F_2} = 38 	ext{ g/mol}$$M_{SF_6} = 146 	ext{ g/mol}$Since helium has the smallest molar mass,it will have the largest root mean square speed.

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic),the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement among the following is:

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