The initial state of an ideal gas is 2.00 atm, 2.00 L. The

Chapter 10, Problem 10.158

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The initial state of an ideal gas is 2.00 atm, 2.00 L. The final state is 1.00 atm, 4.00 L. The expansion is accomplished isothermally. a. If the expansion is a free expansion, calculate w, q, DE, and DH. b. If the expansion is done in one step, calculate w, q, DE, and DH. c. If the expansion is done in two steps (with V 5 3.00 L as the intermediate step), calculate w, q, DE, and DH. d. If the expansion is reversible, calculate w, q, DE, and DH. You have the new state of an ideal gas at 1.00 atm, 4.00 L. You take the gas back to conditions of 2.00 atm, 2.00 L. The compression is accomplished isothermally. e. If the compression is done in one step, calculate w, q, DE, and DH. f. If the compression is done in two steps (with V 5 3.00 L as the intermediate step), calculate w, q, DE, and DH. g. If the compression is reversible, calculate w, q, DE, and DH. Explain. Compare your answers for the expansion and compression. Discuss the implications, especially considering the changes to the system and the changes to the surroundings that have occurred even though the system was brought back to its initial state.

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