b) As was done for F and G in chapter 5.2 in Schroeder, express an infinitesimal change in the total entropy Stotal as a sum of changes in the entropy S of the 1 system and the entropy SR of the reservoir it is in contact with: dStotal = dS + dSR. T, V or µ is obtained by holding the two other quantities fixed:( ∂Φ ∂T ) V,µ = −S, ( ∂Φ ∂V ) T,µ = −P, ( ∂Φ ∂µ ) T,V = −N.
Inserting the thermodynamic identity for dU gives dΦ = −PdV − SdT −Ndµ. Download Schroeder Solutions for Introduction to Thermal Physics and more Thermal Physics Exercises in PDF only on Docsity!Solutions to exercises week 45 FYS2160 Kristian Bjørke, Knut Oddvar Høie Vadla NovemSchroeder 5.23 a) Writing Φ = U −TS−µN in terms of infinitesimal changes of the quantities involved: dΦ = dU − TdS − SdT − µdN −Ndµ.
