Physics Practice Problems Entropy and the Second Law Practice Problems Solution: Using the Einstein model of a solid, what is the c...

Solution: 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 = kB ln (21! /14! • 7!) 2. ΔS = kB ln (21/7 • 5) 3. ΔS = kB ln (17/6) 4. ΔS = kB ln (10/7) 5. ΔS = kB ln (10! /7!) 6. ΔS = kB ln (20! /14! • 5!) 7. ΔS = kB ln (20! /7! • 5!) 8. ΔS = kB ln (10)  9. ΔS = kB ln (21! /7! • 5!) 10. ΔS = kB ln (16!7! • 7)

Problem

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 = kB ln (21! /14! • 7!)

2. ΔS = kB ln (21/7 • 5)

3. ΔS = kB ln (17/6)

4. ΔS = kB ln (10/7)

5. ΔS = kB ln (10! /7!)

6. ΔS = kB ln (20! /14! • 5!)

7. ΔS = kB ln (20! /7! • 5!)

8. ΔS = kB ln (10) 

9. ΔS = kB ln (21! /7! • 5!)

10. ΔS = kB ln (16!7! • 7)