- #36

Mark44

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Referring to the equation that starts withMartin Harris said:Yes, I understood is 1/V because of the ln derivation.

In this 2nd picture could you please tell me how he recognized , how did he found out that those terms are 1st term 2nd term 3rd term ?What was the criteria?How he identified which term is 1st which is 2nd and how?

Please see below

View attachment 107257

Thank you in advance

"##\beta A^{id} = \dots##"

He's taking the partial with respect to ##\beta## of both sides of that equation.

The order "first", "second", "third" is simply the order of the terms on the right side of the equation.

First term -- is the first term on the right side of the equation.

Second term -- is the second term on the right side of the equation, but I don't see the connection between the second term in the equation above and the work he shows here. There is apparently some substitution going on, but what the image you attached doesn't show what it is.

Third term -- is -N times the first term in the last pair of brackets; namely, ##-N\ln(q_{rot})##. How that is related to ##\ln(\beta)##, I have no idea -- there is not enough information shown in the image.

The remaining terms are independent of T (so it says), so can be ignored.