1. The problem statement, all variables and given/known data 21. A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal, or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest. A. adiabatic, isothermal, isobaric B. adiabatic, isobaric, isothermal C. isothermal, adiabatic, isobaric D. isobaric, adiabatic, isothermal E. isobaric, isothermal, adiabatic 2. Relevant equations 3. The attempt at a solution If I graph these three curves on a P-V axes, it seems to me that the work by the external agent will be positive because the volume is getting smaller. Also, the work is like the area under the curve for any of these processes, and so I get it choice A as my answer. The isobaric path encloses a rectangle, the isothermal a hyperbola and the adiabat, a path that encloses less area than the isothermal. I'm only checking because the answer given is E. And I don't know where I'm going wrong. Thanks a lot ahead of time.