Hi, Please answer clearly with details. Thank you so much for your help!!! A vol

Question

Hi,

Please answer clearly with details.

Thank you so much for your help!!!

A volume of air (assumed to be an ideal gas) is first cooled without changing its volume and then expanded without changing its pressure, as shown by the path abc in Fig. 15.38. How does the final temperature of the gas compare with its initial temperature? How much heat does the air exchange with its surroundings during the process abc? Does the air absorb heat or release heat during this process? Explain, If the air instead expands from state a to state c by the straight-line path shown, how much heat does it exchange with its surroundings?

Explanation / Answer

We have to assume that p is first being reduced by a factor of 3 and v is expanded by a factor of 3

A) the final temperature is same as the initial temperature.since final PV is same as initial PV.

B)The change in internal energy was zero.As the temperature was zero.the work done by the air was p delta V for "BC" process and zero for "ac" process.

500000 pa*.02 m3=1000j this is equal to net heat absorbed by gas in Abc process

C)the geometry indicates thatW will be twice as great as "ac" process and delta U will be still zero so heat absorbed by air will be 2000j.

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