PS3Solutions

# PS3Solutions - Chemistry 120B SP11 Problem Set 3 Solutions Total 50 points 1(11 points See MQS Solutions Manual The graph of f J/f has a local

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chemistry 120B SP11 Problem Set 3 Solutions Total: 50 points 1. (11 points) See MQS Solutions Manual. The graph of f J /f has a local maximum as a result of degeneracy, encoded in the prefactor (2 J + 1). Without the entropic contribution to the relative probabilities, they would decay exponentially with J . 2. (i) (3 points) S ( E + Δ E ) ≈ S ( E ) + ∂S ∂E N,V Δ E Δ S = S ( E + Δ E )- S ( E ) ≈ ∂S ∂E N,V Δ E Δ S = Δ E T (ii) (3 points) Δ S (1) = Δ E (1) T (1) Δ S (2) = Δ E (2) T (2) Δ S = Δ S (1) + Δ S (2) = Δ E (1) T (1) + Δ E (2) T (2) If Δ E is the magnitude of energy transferred from system 1 to system 2, then Δ E (2) =- Δ E (1) = Δ E . Δ S = Δ E 1 T (2)- 1 T (1) (iii) (3 points) If T (1) > T (2) , the quantity in parentheses is positive. We defined Δ E to be positive. So Δ S is positive. (Any spontaneous process in a system with fixed E , V , and N is accompanied by an increase in entropy. Although the partitioning of energy between systems 1 and 2 is changing, the energy of the composite system is fixed.) 3. (i) (3 points) S ( V + Δ V ) ≈ S ( V ) + ∂S ∂V N,E Δ V Δ S = S ( V + Δ V )- S ( V ) ≈ ∂S ∂V N,E Δ V Δ S = p T Δ V 1 (ii) (3 points) Δ S (1) =...
View Full Document

## This note was uploaded on 09/12/2011 for the course CHEM 107B taught by Professor Jamesames during the Spring '09 term at UC Davis.

### Page1 / 5

PS3Solutions - Chemistry 120B SP11 Problem Set 3 Solutions Total 50 points 1(11 points See MQS Solutions Manual The graph of f J/f has a local

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online