1)Grand free energy is defined as D =U-TS-µN A) Derivate do. And do obtain the relevant formulas by taking the partial derivatives of with respect to T, V and u. B) Show that O of D= -PV
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- Consider two blocks of copper. Block A contains 800 atoms and initially has a total of 20 quanta of energy. Block B contains 200 atoms and initially has 80 quanta of energy. The two blocks are placed in contact with each other, inside an insulated container (so no thermal energy can be exchanged with the surroundings).After waiting for a long time (for example, an hour), which of the following would you expect to be true? A. The entropy of block A is equal to the entropy of block B. B. Approximately 50 quanta of energy are in block A, and approximately 50 quanta of energy are in block B. C. Approximately 80 quanta of energy are in block A, and approximately 20 quanta of energy are in block B. D. The temperature of block A and the temperature of block B are equal.Calculate the number of microstates that are available in a single atom of carbon in graphite.The standard molar entropy (S°) of carbon is 5.7 J/(mol · K) and the Boltzmann constant (kB) is1.381 × 10 ―23?/?. HELP PLEASEConsider the partition function Z=>e %3D Calculate the specific heat of the system. (a) ke- Bho 1-e-Bha 2. (b) k 1-e Bho (c) ke-Bha 1 1-e-Bho (d) ke Bho 1+e-Bh
- When developing the partition functions for each degree of freedom in a diatomic ideal gas, we made some approximations. Match the degree of freedom with the approximation(s) we made. Classical (energy levels are continuous) and the addition of one extra state. Classical (energy levels are continuous) no approximations excited states do not contribute significantly [Choose ] [Choose ] [Choose ] [Choose ] ♦The variation of the molar Gibbs free pn- ergy of a substance with temperature and pressure is given by () T5/2 G = -T In Determine S, H, V, U and F.Plz solve in 30 min I vill definitely upvote and positive rating
- Q2/ For the harmonic oscillator in classical limit, if the partition function is given by Z(B) = 1/(ßħw)N, find the entropy and internal energy. Q3/ Prove that F = -KTlnz .V7The exact differential for the Gibbs energy is given by dG = -SdT + VdP. The form of this differential implies which of the following relationships? O (7),- (), ƏG Әт ƏG др P T (37), - - (-), P T as ( x) - (*), = др T (327), = -(0)₁ == P T