The entropy of a reversible process is Tds = du + pdv Obtain an expression for the change of entropy as a function of cp, P and T.
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- a) Find the value of (as/V), for the van der Waals gas. b) Derive an expression for the change in entropy for the isothermal expansion of one mole of the van der Waals gas from V₁ to V₂. c) Compare the result in (b) with the expression for the ideal gas. For the same increase in volume, will the entropy increase be greater for the van der Waals gas or for the ideal gas?Homework 6 Problem 4: A mass m of water is heated reversibly from temperature T1 to T2 at a constant pressure of P. In this problem, we are going to determine an expression for the change in entropy, ΔS.Assume we can heat the given water infinitesimally slowly so that the process is reversible. Therefore, heat in any infinitesimal step is given by the following: dQ = mc dT, where c is the specific heat and is constant. Part (a) Write an expression for the change in entropy ΔS for the system. Part (b) Calculate the change in entropy in cal/K for a sample of water with mass m = 1.6 kg and changing temperature from T1 = 25.6°C to T2 = (25.6+10)°C. The specific heat c of water is 1,000 cal/kg/K. ΔS = ______A 77.5-g ice cube is initially at 0.0°C. (a) Find the change in entropy of the cube after it melts completely at 0.0°C. Hint: The latent heat of fusion for water is 3.33 105 J/kg. __________J/K(b) What is the change in entropy of the environment in this process?___________ J/K
- 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 0A freezer is used to freeze 4.6 L of water completely into ice. The water and the freezer remain at a constant temperature of T = 0°C. (a) Determine the change in the entropy of the water. __________kJ/K(b) Determine the change in the entropy of the freezer. _________kJ/KWhen a metal bar is temporarily connected between a hot reservoir at Th and a cold reservoir at Tc, the energy transferred by heat from the hot reservoir to the cold reservoir is Qh. In this irreversible process, find expressions for the change in entropy of the following. (Use any variable or symbol stated above as necessary.) (a) the hot reservoir ΔSh = (b) the cold reservoir ΔSc = (c) the Universe ΔSU =
- The internal energy E(T) of a system at a fixed volume is found to depend on the temperature T as E(T)=aT2+bT4. What will be the entropy S(T) of the system as a function of temperature?A container of ideal gas at standard temperature and pressure (273 K and 1 atm) undergoes an isothermal expansion and its entropy changes by 3.7 J/K. How much work does it do?is said to occur when two or more subsystems work together to produce more than the total of what they could produce individually. This is sometimes defined as the whole being greater than the sum of the parts. Entropy O Synergy O An open system O A closed system O A subsystem
- Using the relations dS=dQ/T and dQ=mCdT, what is the change in entropy of 20 kg of water warmed from 0 degrees Celsius to 35 degrees Celsius?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.A freezer is used to freeze 1.0 L of water completely into ice. The water and the freezer remain at a constant temperature of T = 0°C. Determine (a) the change in the entropy of the water and (b) the change in the entropy of the freezer