On a pressure versus volume diagram, certain paths are drawn as vertical lines, meaning the volume never changes along them. What name does the source give to this kind of process, and how much work is done?
AAn isobaric process, doing positive work
BAn isothermal process, doing positive work
CAn isochoric process, doing zero work
DAn adiabatic process, doing zero work
Answer & Solution
Correct answer: C. An isochoric process, doing zero work
1. A vertical line on a pressure-volume diagram represents a process during which the volume stays fixed.
2. The source names this an isochoric process, and because volume is constant, ΔV = 0.
3. Since work in these simple processes is calculated as W = PΔV, a ΔV of zero makes the work done exactly zero.
4. Isobaric processes hold pressure constant instead of volume, so option A names the wrong quantity as fixed.
5. Isothermal processes hold temperature constant and generally still do nonzero work, and adiabatic processes are defined by zero heat transfer rather than zero volume change, so options B and D either name the wrong process or attach zero work to the wrong one.
_Source: OpenStax College Physics (CC BY 4.0), Ch 15 "Thermodynamics", section 15.2 The First Law of Thermodynamics and Some Simple Processes_
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