At (35^{circ} mathrm{C}), the root-mean-square speed of a certain monatomic ideal gas is (186 mathrm{~m} / mathrm{s}).

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At \(35^{\circ} \mathrm{C}\), the root-mean-square speed of a certain monatomic ideal gas is \(186 \mathrm{~m} / \mathrm{s}\).

(a) What is the mass of each atom?

(b) What is the average kinetic energy of a typical atom at that temperature?

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