n ice cube at 0°C is placed in a very large bathtub filled with water at 30°C and allowed to melt, causing no appreciable change in the temperature of the bath water. Which one of the following statements is true? The entropy of the water does not change because its temperature did not change. The net entropy change of the system (ice plus water) is zero because no heat was added to the system. The entropy gained by the ice cube is equal to the entropy lost by the water. The entropy of the system (ice plus water) increases because the process is irreversible. The entropy lost by the ice cube is equal to the entropy gained by the wate

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.

Water is slowly warmed from 25.0°C to 80.0°C. If the mass of the water is 240 g, what is the water's entropy change (in J/K)? 176.02 How is an infinitesimal heat input dQ related to the temperature change of the water? Can you use this to write an expression for the infinitesimal entropy change dS which can be integrated? J/K

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 B₂

1.00-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.

150 g liquid water at 80.0°C is placed in an insulated flask. A 12.0 g ice cube at 0°C is added to the water in the flask to form a system of ice + water. (a) What is the equilibrium temperature of the system?  (b) What is the net entropy change of the ice + water system as it reaches equilibrium?  Data for the physical properties of water are available on the formula sheet.

A large block of copper initially at 17.3°C is placed in a vat of hot water (84.1°C). The first 1.10 J of heat flows from the water into the block. Find the entropy change of the system. Find the entropy change of the water. Find the entropy change of the block.

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.