# Entropy of a quantum sized material

## Homework Statement

A small material has quantum oscillator energy levels 2E-23 J apart. Suppose the material has a total energy of 34E-23 J and contains 5 atoms. Find the entropy of the material.

## Homework Equations

Entropy = (Boltzmann's constant)*ln(multiplicity)

Multiplicity = (q + N - 1)!/[q!(N-1)!]

## The Attempt at a Solution

I'm having trouble grasping the question. The 5 atoms are understood, but I'm having trouble finding the "N" for the multiplicity equation.

So, I came up with N = 18, because the total energy is 34E-23 J and the energy levels are 2E-23 J apart, and q = 5.

Then applying the multiplicity equation and plugging it to entropy, I didn't get the correct answer.

Am I on the correct path to find N, or do I even need the multiplicity equation?