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 1.5 × 10−23 J. A nanoparticle of this metal...

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 1.5 × 10−23 J. A nanoparticle of this metal consisting of 10 atoms has a total thermal energy of 18

× 10−23 J.

(a) What is the entropy of this nanoparticle?

(b) The temperature of the nanoparticle is 87 K. Next we add 18 × 10−23 J to the nanoparticle. By how much does the

entropy increase?