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Which of the following
functions? Explain.
a. work
b. entropy
c. enthalpy
d. free energy
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Solved in 2 steps
- Which of the following thermodynamic quantities is not a state function? Explain. a. work b. entropy c. enthalpy d. free energyA box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. a. Enumerate all the possible microstates and their corresponding energies. b. Calculate the partition function then write down the Helmholtz free energy. c. Solve for the entropy of the system.A box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. i. Enumerate all the possible microstates and their corresponding energies. ii. Calculate the partition function then write down the Helmholtz free energy. iii. What is the probability that the box contains two red balls?
- Imagine a photon gas at an initial temperature of T 400 K. What is the temperature of the = photon gas after it has undergone a reversible adiabatic expansion to 3 times its original volume? Select one: O a. O b. 1200 K 277 K O c. 400 K O d. 182 KWhich of the following statements about the Gibbs function (Gibbs free energy) are generally true? Select one or more: a. The minimization of the Gibbs function in thermodynamic equilibrium (under the right conditions) is a consequence of the maximization of the entropy of the considered system. b. The minimization of the Gibbs function in thermodynamic equilibrium is a consequence of the maximization of the total entropy of the system and the environment. C. The Gibbs function is minimized in thermodynamic equilibrium for a system whose temperature T, volume V and number of particles N are constant. d. The Gibbs function is minimized in thermodynamic equilibrium for a closed system whose temperature T and pressure p are constant.Thermal and Statistical Physics Chapter 4. Statiscal Mechanics Can you should me the solution of these thermodynamic properties of the system? (Note: for one oscillator)
- 1 cal = 4.184 J, specific heat of iron = 0.45 J/g°C 1. If 2087.5 kcal of chemical energy is converted to mechanical energy and then electrical energy, how many kcal and joules of electrical energy is available? Explain. 2. a) Define the term, state function. ( one of the wo assmptions made for this model, (6 (amiog o) sbam od anoizulonoo ntw bas bovoado o Jominoqo brohadut eom3 sdinoesC b) Give THREE examples of state functions. (3. The specific Helmholtz Free energy f is related to the specific internal energy u as: ƒ (T, a) = u — Ts where the "natural variables" of f are temperature and specific volume. a. Expand the differential off in terms of partial derivatives with respect to the natural variables of f b. Using the result from a. and applying the 1st Law of Thermodynamics, what are af T and of la? θα c. From the equality of mixed partial derivatives, show that Op ari la əs θαQ3. Consider a system consists of N indistinguishable particles in contact with a heat reservoir at temperature t. The single particle states have energies 0, ɛ and 2ɛ. Obtain expression for the partition function and the total internal energy of the system
- 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 .Question 3: In a microcanonical ensemble for 'N' non interacting molecules of an ideal gas in a specific volume 'V', how can you develop an expression for entropy (S) and change in entropy of the system if the given system obeys the Boltzmann's statistics. Using the derived value of entropy formulate an expression for ideal gas equation⦁ Which of the following thermal variables is not a state function?⦁ Pressure⦁ Internal Energy⦁ Entropy⦁ Volume⦁ Work