Which of the following statements are true? (Select all that apply.) 1)The inter

Question

Which of the following statements are true? (Select all that apply.)

1)The internal energy of a given amount of an ideal gas depends only on its absolute temperature.

2)When a system can go from state 1 to state 2 by several different processes, the change in the internal energy of the system will be the same for all processes.

3)A quasi-static process is one in which the system is never far from being in equilibrium

4)When a system can go from state 1 to state 2 by several different processes, the work done on the system will be the same for all processes.

5)For any substance that expands when heated, its Cp is greater than its Cv.

6)When a system can go from state 1 to state 2 by several different processes, the amount of heat absorbed by the system will be the same for all processes.

Explanation / Answer

1. True. For an ideal gas, Eint=(1/2) nRT. For a given amount of an ideal gas, n is constant.

2.True. The amount the internal energy of the system changes along any path depends only on the temperatures at state 1 and state 2.

3. True. This is the definition of a quasi-static process.

4. False. The work done on the system depends on the path taken from state 1 to state 2.

5.  True. All materials have values for Cp and Cv for which it is true that Cp is greater than Cv. For liquids and solids we generally ignore the very small difference between Cp and Cv .

6. False. The amount the internal energy of the system changes along any path depends only on the temperatures at state 1 and state 2, but because Eint = Qin +Won , Qin depends on Won, which, in turn, depends on the path taken from state 1 to state 2.

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