What is the root mean square speed of a gold atom atomic, Basic Statistics

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What is the root mean square speed of a gold atom atomic

According to the equipartition theorem, the average energy per degree of freedom is (1 /2)kT.

(a) What is the root mean square speed of a gold atom (atomic mass number 197) vibrating around its equilibrium position in a gold wire at room temperature?

(b) How does this compare with the root mean square speed of conduction electrons in this wire, assuming that they behave like a gas?

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