BENG 130 Lecture 4: Lecture 04

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29 Oct 2016
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(cid:1856)(cid:1847)=(cid:4672)(cid:3022)(cid:3021)(cid:4673)(cid:3023)(cid:1856)(cid:1846)+(cid:4672)(cid:3022)(cid:3023)(cid:4673)(cid:3021)(cid:1856)(cid:1848: we can represent energy as (cid:1847)(cid:4666)(cid:1848),(cid:1846)(cid:4667) (depends on volume and temperature, also, we know (cid:1856)(cid:1847)=(cid:1856)(cid:1843) (cid:1842)(cid:3032)(cid:3051)(cid:1856)(cid:1848) (because of the 1st law of thermodynamics, thus, (cid:4672)(cid:3022)(cid:3021)(cid:4673)(cid:3023)(cid:1856)(cid:1846)+(cid:4672)(cid:3022)(cid:3023)(cid:4673)(cid:3021)(cid:1856)(cid:1848)=(cid:1856)(cid:1843) (cid:1842)(cid:3032)(cid:3051)(cid:1856)(cid:1848) (cid:1856)(cid:1846)=(cid:1855)(cid:3023)(cid:4666)(cid:1846)(cid:2870) (cid:1846)(cid:2869)(cid:4667) Thus, (cid:1847)= (cid:1855)(cid:3023)(cid:3021)(cid:3118)(cid:3021)(cid:3117: (cid:4672)(cid:3022)(cid:3023)(cid:4673)(cid:3021)=(cid:1846)(cid:4672)(cid:3017)(cid:3021)(cid:4673)(cid:3023) (cid:1842)=(cid:1846)[(cid:4672) (cid:4673)(cid:3021) ](cid:3023) (cid:1842)=(cid:3019)(cid:3021)(cid:3023) (cid:1842)=(cid:1842) (cid:1842)=(cid:882, the stuff we did for u, we can do the same for h, where (cid:4666)(cid:1842),(cid:1846)(cid:4667), and we can get. Thus, internal energy of an ideal gas only depends on temperature: look at example problem 3. 5 in the book. Heat engines: main question: can i take a substance, take all the energy change, and use it all for work? (and not heat?) While we can convert all work into heat, we cannot convert all heat into work: consider an isolated system with an ideal gas. We want to do isothermal expansion, adiabatic expansion, isothermal compression, and then adiabatic compression. (cid:3018)(cid:3276)(cid:3277)(cid:3021)+(cid:3018)(cid:3278)(cid:3279)(cid:3021)=(cid:882) and t is constant: consider reversible isothermal expansion of an ideal gas.

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