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### quest_18s

Course: PHYS 2101, Fall 2007
School: LSU
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Word Count: 636

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18 Chapter Question Question 5: Figure 18-25 shows two closed cycles on p-V diagrams for a gas. the three parts of cycle 1 are of the same length and shape as those of cycle 2. For each cycle, should the cycle be traversed clockwise or counterclockwise if (a) the net work W done by the gas is to be positive and (b) the net energy transferred by the gas as heat Q is to be positive? p p V (1) Fig. 18-25. (2) V...

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18 Chapter Question Question 5: Figure 18-25 shows two closed cycles on p-V diagrams for a gas. the three parts of cycle 1 are of the same length and shape as those of cycle 2. For each cycle, should the cycle be traversed clockwise or counterclockwise if (a) the net work W done by the gas is to be positive and (b) the net energy transferred by the gas as heat Q is to be positive? p p V (1) Fig. 18-25. (2) V From the first law of thermodynamics, Eint = Q - W , and the fact that during one cycle there is no change in system's internal energy, Eint = 0, we know that the net work done during one cycle is equal to the net transferred heat, W = Q. The net work done by the gas during one cycle is represented with the area enclosed by the curve in a p-V plot. The work is positive when it is traversed clockwise because the work done by the gas during expansion is then larger than the work during compression. Therefore, in both cycles the cycle should be traversed clockwise, and in that case, both work W done by the gas and energy transferred by the gas as heat Q will be positive. Question 6: For which cycle in Fig. 18-25, traversed clockwise, is (a) W greater and (b) Q greater? Because of the smaller enclosed area, the net work in plot (1) is smaller than the net work in plot (2). This is also true for the net exchanged heat because Q = W , because for a cyclic proces W = Q, as explained above. The assumtion was made that the changes of volume and pressure are equal for both cycles because of the text in question 5: "the same length and shape". So, W2 > W1 and Q2 > Q1 . Checkpoint 18-6: For one complete cycle, as shown in p-V diagram in Fig. 18-25 (2) traversed counterclockwise, are (a) Eint for the gas and (b) the net transferred energy as heat Q positive, negative, or zero? (a) For any cyclic process (regardless of the direction of traversing) the change, Eint , in the internal energy of the gas is zero, therefore Eint = 0. (b) From the p-v diagram and the direction of traversing we can tell that the net work done by the gas is negative, because the work during compression (negative work) is larger than work during expansion (positive work). The first law, for cyclic process, gives the net energy transferred as heat as: Q = Eint + W = W . Therefore, energy transferred as heat is also negative, Q < 0. p Checkpont 18-5: The figure shows four paths on a p-V diagram along which a gas can be taken from state i to state f . Rank the paths according to (a) the change Eint in the internal energy of the gas, (b) the work W done by the gas, and (c) the magnitude of the energy transferred as heat Q between the gas and its environment, gratest first. 6 4 i s 1 j 3 R 2 j R sf - V (a) The internal energy of a certain system is path independent, so the change, E...

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LSU - PHYS - 2101
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