An empty (2.00-mathrm{L}) soft drink bottle is filled with (0.0100 mathrm{~mol}) of a monatomic ideal gas at

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An empty \(2.00-\mathrm{L}\) soft drink bottle is filled with \(0.0100 \mathrm{~mol}\) of a monatomic ideal gas at atmospheric pressure \(\left(1.01 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\right)\).

(a) What is the average kinetic energy of each gas particle in the bottle?

(b) Compare the value you obtained in part \(a\) with the kinetic energy of a bacterium of mass \(1.0 \times 10^{-14} \mathrm{~kg}\) moving at \(1.0 \times 10^{-7} \mathrm{~m} / \mathrm{s}\) and with the kinetic energy of a \(0.0010-\mathrm{kg}\) garden slug moving at \(0.0100 \mathrm{~m} / \mathrm{s}\).

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