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ZOOM + K --------- = TVam/k7, 2. A student attempts to remember a certain formula comes up with Cp - Cy where m and

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ZOOM + K --------- = TVam/k7, 2. A student attempts to remember a certain formula comes up with Cp - Cy where m and n are certain integers whose values the student has forgotten and where the remaining symbols have their usual meanings. Use dimensional considerations, i.e., the unit analysis to find m and n. 3. Because the heat capacities per unit volume of gases are small, accurate measurement of Cp or Cy for gases is not easy. Accurate measurement of the heat capacity ratio y of a gas (for example, by measurement of the speed of sound in the gas) turns out to be easy. For CCl4(g) at 0.1 bar and 25 C, experiment gives y 1.15. Find Cp,m and Cv,m for CCl4(g) at 25C and 1 bar. = 4. Consider a heat engine that operates between reservoirs at 820 C and 0 C. (a) Calculate the maximum possible efficiency of this engine. (b) If |qn| = 900 J, find the maximum value of [w] and the minimum value of |qc|. 5. The molar heat of vaporization of argon at its normal boiling point 87.3 K is 1.56 kcal/mol. (a) Calculate AS for the vaporization of 3.60 mol of argon at 87.3 K and 1 atm. (b) Calculate AS when 4.00 g of argon gas condenses to liquid at 87.3 K and 1 atm. 6. True or False? (a) If a closed system at rest in the absence of external fields undergoes an adiabatic process that has w 0, then the system's temperature must remain constant. = (b) If neither heat nor matter can enter or leave a system, that system must be isolated. (c) For a closed system with P-V work only, a constant-pressure process that has q> 0 must have AT > 0. (d) If q = 0 for a process, then the process must be isothermal. (e) For a reversible process, pressure must be constant. (f) Increasing the temperature of the hot reservoir of a Carnot cycle engine must increase the efficiency of the engine. (g) A Carnot cycle is by definition a reversible cycle. -1-

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