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Unformatted text preview: pproximate. 0. Warm-up Problems (20 points). Fill in the blank, or answer (T)rue or (F)alse. 0 (1). Energy is conserved. ______ 1 (1). Entropy is conserved. ______ 2 (3). The entropy of the universe always ______________, except for a ______________ process, where the entropy change is _________. 3 (4). Which four criteria must be met for a gas to be "ideal?" a.______________________________ b.______________________________ c.______________________________ d.______________________________ 4 (1). During a phase transition, heat can flow into a system without increasing the system's temperature. This "latent heat" is a measure of the ________________________ as the system is converted from one phase to another. 5 (1). The internal energy U of an ideal monoatomic gas is: _________________________ 6 (3). Briefly derive the expression for the work W needed to compress an ideal gas isothermally from Va to Vb. Begin with the definition of work as the integral of PdV, and show your steps. 7 (3). What are the three forms of heat transfer? a.______________________________ b.______________________________ c.______________________________ 8 (2). In contrast to _______________, in the transfer of energy by convection, molecules _________________________________________. 9 (1). Heat flows spontaneously from a ____________ object to a ____________ one. Problem 1 (25 points). A constant number of Nitrogen molecules are in a cylinder of variable size. The gas with initial pressure Pinitial is compressed isothermally to 1/3 of its original volume: Vfinal = 1/3 Vinitial. Then, the gas is heated isochorically such that Tfinal = 1.1 Tinitial. a) what is the final pressure? By what factor do the following (problems b, c, d) change? b) mean kinetic energy of the gas molecules c) rms speed of the molecules d) the number of impacts per second on 1 mm2 of wall area? e) What is the change of entropy of the gas (hint: was the temperature changed a lot, or only a little bit?) Problem 2 (25 points). Con...
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