Chemistry 2374A Lecture Notes - Lecture 14: Isothermal Process, Hot Tub, Ideal Gas

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Chapter 2. 5 & 2. 6 (isothermal compression and expansion work) An ideal gas performs work on the surroundings by isothermal expansion (temperature. = constant) from v1 to v2, and p1 to p2, resulting in the lifting of the mass (cid:498)m(cid:499) by a height of (cid:498)h(cid:499) (cid:523)delta h = change in height(cid:524) The work done by the system is w = -p2 v = -mg/a x (v2 v1) = -mg h. There are two types of expansion work that can be done by the gas itself: reversibly, non-reversibly. Also, we assume that there are no friction losses. Furthermore, the external pressure will always be equal to the internal pressure. With reversible process, the external pressure must always equal to the internal pressure, however, the process will take a long time and is often not possible. The number of discrete steps taken under reversible conditions is (cid:498)infinite(cid:499)

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