Using the Einstein model of a solid, what is the change in entropy when adding two quanta of energy to a system of 5 atoms that already has 5 quanta of energy stored in it? (In an Einstein solid each atom corresponds to three independent oscillators.)

1. ΔS = k_{B} ln (21! /14! • 7!)

2. ΔS = k_{B} ln (21/7 • 5)

3. ΔS = k_{B} ln (17/6)

4. ΔS = k_{B} ln (10/7)

5. ΔS = k_{B} ln (10! /7!)

6. ΔS = k_{B} ln (20! /14! • 5!)

7. ΔS = k_{B} ln (20! /7! • 5!)

8. ΔS = k_{B} ln (10)

9. ΔS = k_{B} ln (21! /7! • 5!)

10. ΔS = k_{B} ln (16!7! • 7)