N atoms of an ideal gas are enclosed in a container of volume V. The volume of the container is changed to 4V , while keeping the total energy constant. The change in the entropy of the gas, in units of Nk, In 2 , is where k, is the Boltzmann constant.
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- A 9.50-mol sample of H, gas is contained in the left side of the container shown below, which has equal volumes on the left and right. The right side is evacuated. When the valve is opened, the gas streams into the right side. Valve H2 Vacuum (a) What is the entropy change of the gas? J/K (b) Does the temperature of the gas change? Assume the container is so large that the hydrogen behaves as an ideal gas. O The temperature does not change. O The temperature decreases. O The temperature increases.S(B, T) 1 T₁ T Figure A1 Figure A1 shows the entropy S of a paramagnetic solid as a function of its temperature T and imposed magnetic field B. Adiabatic cooling consists in bringing the system from state 1 to 3 by making it undergo an isothermal change of magnetic field from 1 to 2 followed by an isentropic adiabatic process from 2 to 3. The entropy of the solid can be approximated by the equation S(B,T) = So — K B² T2' - where K is a positive constant and Så is some reference entropy value. (a) Find the expression of the heat Q₁2 received by the system during the isothermal process from state 1 to 2. Discuss the meaning of its sign. (b) Express the final temperature T3 as a function of B₂ and T₁. 3 T3 B₁ < B₂ B₂A 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
- Estimate the change in molar entropy when a sample of argon (a) is compressed from 2.0 dm3 to 0.5 dm³ R = 8.3145 J/Kmol AS = #3 E Estimate the change in molar entropy when a sample of argon (b) is heated from 300 K to 460 K. Take Cv,m = (3/2)R. R = 8.3145 J/K.mol AS = $ J/K.mol. 4 sig. fig. Click Save and Submit to save and submit. Click Save All Answers to save all answers. 4 R J/K.mol. 3 sig. fig. % 45 T <6 ^ 6 Y & 7 U 8 0 Save All 01.00-mol sample of H2 gas is contained in the left side of the container shown in Figure P22.48, which has equal volumes on the left and right. The right side is evacuated. When the valve is opened, the gas streams into the right side, (a) What is the entropy change of the gas? (b) Does the temperature of the gas change? Assume the container is so large that the hydrogen behaves as an ideal gas.4.5 kg of water at 39 ^ °C is mixed with 4.5 kg of water at 67^°C in a well - insulated container. Part A Estimate the net change in entropy of the system. Express your answer to two significant figures and include the appropriate units.
- A 4.0-kg piece of aluminum at 29.4 °C is placed in 1.0 kg of water in a Styrofoam container at room temperature (20.0 °C). Part A Estimate the net change in entropy of the system. Express your answer to two significant figures and include the appropriate units. AS = μA Value Units ?n moles of a diatomic ideal gas go through cycle a → b → c → d → a as shown in the figure. Processes ab and cd are isothermal and occur at temperatures TH and TC, respectively. 1) Calculate the work Wab done by the gas during the process a → b in terms of the variables in the problem. 2) Calculate the work Wbc done by the gas during the process b → c. 3) Calculate the total work W done in the entire cycle in terms of the variables in the problem. 4) Calculate the total heat Q flowing into the gas in a complete cycle.Problem 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.
- 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).D-G pls