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c ) lim dAWH/dii = Azl ( n+o
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CHAPTER 12 Solution Thermodynamics: Applications
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1242 If the heat of mixing at temperature To is AHo and if the heat of mixing of the same solution at temperature T is A H , show that the two heats of mixing are related by:
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where ACp is the heat-capacity change of mixing, defined by Eq (1229)
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1243 What is the heat effect when 68 kg of H2S04 is mixed with 159 kg of an aqueous solution containing 25 mass-% H2S04in an isothermal process at 31115 K (3S C) 1244 For a 50 mass-% aqueous solution of H2S04 at 33315 K (60"C), what is the excess enthalpy ffE in kJ kg-' 1245 A mass of 180 kg of 35 mass-% aqueous NaOH solution at 32715 K (54 C) is mixed with 79 kg of 10 mass-% solution at 36615 K (93 C) (a) What is the heat effect if the final temperature is 30015 K (27"C) (b) If the mixing is adiabatic, what is the final temperature 1246 A single-effectevaporatorconcentrates a 20 mass-% aqueous solution of H2S04to 70% The feed rate is 113 kg s-', and the feed temperature is 30015 K (27 C) The evaporator is maintained at an absolute pressure of 01 bar, at which pressure the boiling point of 70-% H2S04is 37515 K (103 C) What is the heat-transfer rate in the evaporator 1247 What temperature results when sufficient NaOH(s) at 29315 K (20 C) is dissolved adiabatically in a 10 mass-% aqueous NaOH solution, originally at 30015 K (27"C), to bring the concentration up to 35% 1248 What is the heat effect when sufficient S03(1)at 29815 K (25 C) is reacted with H 2 0 at 29815 K (25 C) to give a 50 mass-% H2SO4solution at 33315 K (60"C) 1249 A mass of 635 kg of 15 mass-% solution of H2SO4in water at 34415 K (71 "C) is mixed at atmospheric pressure with 1043 kg of 80 mass-% H2S04at 3115 K (38 C) During J the process heat in the amount of 21 000 k is transferred from the system Determine the temperature of the product solution 1250 An insulated tank, open to the atmosphere, contains 680 kg of 40 mass-% sulfuric acid at 29315 K (20 C) It is heated to 35515 K (82 C) by injection of live saturated steam at 1 atm, which fully condenses in the process How much steam is required, and what is the final concentration of H2S04in the tank 1251 Saturated steam at 275 bar is throttled to 1 atm and mixed adiabatically with (and condensed by) 45 mass-% sulfuric acid at 30015 K (27 C) in a flow process that raises the temperature of the acid to 34415 K (71 C) How much steam is required for each kilogram mass of entering acid, and what is the concentration of the hot acid 1252 A batch of 40 mass-% NaOH solution in water at atmospheric pressure and 30015 K (27 C) is heated in an insulated tank by injection of live steam drawn through a valve from a line containing saturated steam at 24 bar The process is stopped when the NaOH solution reaches a concentration of 38 mass-% At what temperature does this occur 1253 For a 35 mass-% aqueous solution of &So4 at 31115 K (3g C), what is the heat of mixing A H in k kg-' J
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1254 If pure liquid H2SO4 at 30015 K (27 C) is added adiabatically to pure liquid water at 30015 K (27 C) to form a 40 mass-% solution, what is the final temperature of the solution 1255 A liquid solution containing 09 kmol H2S04 and 68 kmol H 2 0 at 31115 K (38 C) absorbs 045 kmol of S03(g), also at 31115 K (3S C), forming a more concentrated sulfuric acid solution If the process occurs isothermally, determine the heat transferred 1256 Determine the heat of mixing A H of sulfuric acid in water and the partial specific enthalpies of H2S04and H 2 0 for a solution containing 65 mass-% H2SO4at 29815 K (25 C) 1257 It is proposed to cool a stream of 75 mass-% sulfuric acid solution at 33315 K (60 C) by diluting it with chilled water at 27715 K (4 C) Determine the amount of water that must be added to 045 kg of 7 5 % acid before cooling below 33315 (60 C) actually occurs 1258 The following liquids, all at atmospheric pressure and 32215 K (49"C), are mixed: 113 kg of pure water, 40 kg of pure sulfuric acid, and 34 kg of 25 mass-% sulfuric acid (a) How much heat is liberated if mixing is isothermal at 32215 K (49"C) (b) The mixing process is carried out in two steps: First, the pure sulfuric acid and the 25 mass-% solution are mixed, and the total heat of part (a) is extracted; second, the pure water is added adiabatically What is the temperature of the intermediate solution formed in the first step 1259 A large quantity of very dilute aqueous NaOH solution is neutralized by addition of the stoichiometric amount of a 10-mol-% aqueous HC1 solution Estimate the heat effect per mole of NaOH neutralized if the tank is maintained at 29815 K (25 C) and 1 atm and the neutralization reaction goes to completion Data:
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For NaC1, lim A = 388 kJ mol-' %
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