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.
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(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.
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- A highly non-ideal gas has an entropy given by S=aNU/V, where the internal energy, U is a function of T.Find the pressure, the expression for the heat capacity at constant volume, and the chemical potential.How much heat energy is needed to change the entropy of a macrostate from 10.00 J/K to 10.01 J/K in a quasi-static process at a temperature of 30 K? Express your answer with the appropriate units. Q30: = Submit Part B Q300= Submit Part C 0 ¤-| |μÅ How much heat energy is needed to change the entropy of a macrostate from 10.00 J/K to 10.01 J/K in a quasi-static process at a temperature of 300 K? Express your answer with the appropriate units. Q3000 Value = Request Answer 0 Value Request Answer Units How much heat energy is needed to change the entropy of a macrostate from 10.00 J/K to 10.01 J/K in a quasi-static process at a temperature of 3000 K? Express your answer with the appropriate units. 0 PHμÅ Value 2) ? Units UnitsA 49.6 g block of copper whose temperature is 492 K is placed in an insulating box with a 107 g block of lead whose temperature is 183 K. (a) What is the equilibrium temperature of the two- block system? (b) What is the change in the internal energy of the two-block system between the initial state and the equilibrium state? (c) What is the change in the entropy of the two-block system? The heat capacities of copper and lead are 386 J/kg-K and 128 J/kg-K, respectively. (a) Number i (b) Number (c) Number Hi i Units Units Units
- 3A cylinder of gas has a temperature of 32F. a) If 205J is added to the system at constant temperature, what is the change in entropy of the system? b) How hot should the gas be in degrees Celsius if the molecules inside are to have twice the kinetic energy?Derive a formula for the entropy of change in a gas that is absorbing heat causing it to go from TL to TH. Express in terms of specific heat of gas, number of moles, R, and TL, TH.
- Pressure is applied isothermally to a container that holds a liquid. Assuming the liquid is compressible, what has happened to the entropy? The entropy has decreased because the applied pressure results in the particles being less free to move, making their positions more predictable. The entropy has increased because the applied pressure results in heat being transferred from the environment to the system. The entropy has increased because the particles move more rapidly at higher pressure, making their velocities less predictable. None of the above.2.0 mol of a monatomic ideal gas are at a temperature of 300 K and a pressure of 1.0 atm. What is the entropy change in a process that brings the gas to 350 K and 1.3 atm? Express your answer with the appropriate units.One way to "derive" the thermodynamic definition for entropy is simply to recognize that its thermodynamic definition must be a state function, and all thermodynamic state functions are worthy of giving a special name and carry special meaning. a) Starting with the First Law of Thermodynamics (expressed either of 2 ways) AU = q + w du = dq + dw show all the steps and assumptions/conditions required to arrive at the new expression below, which includes the definition of entropy: AS - arev AU T T - nRln () arev must be state function. b) Using your result from part (a), explain why T To be explicit, explain why entropy must defined by (P, V, T) alone, and any change between the same 2 states, (P₁, V₁, T₁). and (P2, V2, T2), regardless of path, will give the same change in entropy.
- We trapped 28 kg of dry air, and it initially has standard pressure and temperature. The trapped air parcel rises in the atmosphere until the temperature is 188 K. What is the change in entropy if the pressure decreases by 28% after the parcel rises?A 23.9 g block of copper whose temperature is 382 K is placed in an insulating box with a 57.3 g block of lead whose temperature is 228 K. (a) What is the equilibrium temperature of the two-block system? (b) What is the change in the internal energy of the two-block system between the initial state and the equilibrium state? (c) What is the change in the entropy of the two-block system? The heat capacities of copper and lead are 386 J/kg-K and 128 J/kg-K, respectively. (a) Number i (b) Number i (c) Number i Units Units UnitsConsider 4.00 mol of an ideal gas with a constant‑volume molar specific heat of 12.5 J/(mol·K), an initial temperature of 26.8 ∘C, and an initial pressure of 5.710×104 Pa. The state of the gas is then changed to a final temperature of 48.1 ∘C and a final pressure of 3.090×104 Pa. What is the change in the entropy Δ? of the gas during this process? The gas constant is 8.31 J/(mol·K).