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- As the metals reach thermal equilibrium, what is the entropy change of the universe? Express your answer to two significant figures and include the appropriate units.What would happen to the entropy of a system if you could increase the pressure without changing the temperature, volume, or number of particles?(a) What is the entropy of an Einstein solid with 4 atoms and an energy of 18ε? Express your answer as a multiple of kB . The entropy of the solid is ____ kB.(b) What is the entropy of an Einstein solid in a macropartition that contains 9 ×10690×10690 microstates? Express your answer as a multiple of kB. The entropy of the solid is ____ kB.
- In discussing the energy of a physiological system, the Gibbs free energy is most relevant. Since the value of entropy cannot be known, change in the Gibbs free energy is more commonly used. In order to get reliable result we should hold all variables constant except the one we are interested in measuring. If you are interested in studying muscle contraction in this perspective, which one of the following should be measured? Select one: a. Change in pressure b. Change in electrical charge c. Change in length d. Change in temperature e. Change in number of moleculesProblem 1: Describe a situation in which the entropy of a container of gas is constant. In other words, come up with your own problem where the answer is that AS = 0.Justify the identification of the statistical entropy with the thermodynamic entropy.
- For one component gas that is confined in a box with volume V. V We can get the entropy of the gas as S = Nk, In where N is the total number of atoms, a is the radius of the atom. Can you guess (or work out) how it is obtained?I attached the question and the answer How does the negative sign appear in the first integral And then what are they doing in the second part what’s env ? Shouldn’t we just find the total change in entropyNow, let's use this property of logarithms to learn something about the number of microstates available to a molecular system. The absolute entropy of a system is related to the number of microstates available to it via Boltzmann's formula S = kB In W. If a system containing one mole of an ideal gas has an entropy of 167.7 J/K, how many microstates does it have? Report the order of W, as we have defined it above, and you should use scientific notation, 1.23E45, and report 3 (three) significant figures.
- For one component gas that is confined in a box with volume V. We can get the entropy of the gas as S= Nk, in- where N is the total a² number of atoms, a is the radius of the atom. Can you guess how it is obtained?A system of 8,872 particles initially has 3.21*1042 possible configurations. If we remove some of the particles and are left with 3,049 particles in the system what is the change in entropy? You can assume fromthis question the number of possible configurations does not change.Please express answer in scientific notation to the second decimal placeProve that the entropy of mixing of an ideal mixture has aninfinite slope, when plotted vs. x, at x = 0 and x = l.