Current Attempt in Progress

For a certain metal the stiffness of the interatomic bond and the mass of one atom are such that the spacing of the quantum oscillator energy levels is $1\mathrm{.}5e-23J.$ A nanoparticle of this metal consisting of $11$ atoms has a total thermal energy of $16\mathrm{.}5e-23J.$

Part $1$

What is the entropy of this nanoparticle?

Using multiple attempts will impact your score.

$40\%$ score reduction after attempt $3$

Attempts: $3$ of $6$ used

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Part $2$

The temperature of the nanoparticle is $102$ K $.$ Next we add $4\mathrm{.}5e-23J$ to the nanoparticle. By how much does the entropy increase?

$S=1$

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Attempts: $0$ of $6$ used

Using multiple attempts will impact your score.

$40\%$ score reduction after attempt $3$