Physics II / Systems, Walls and State Variables
Practice question · Multiple choice

Dividing extensive variables yields intensive ones, so molar volume describes the substance rather than the sample. What follows for two equilibrium sub-volumes partitioned inside the same homogeneous gas container?

Hints
  1. Does scaling the physical boundary of a sub-sample alter an intensive ratio?
  2. What condition must hold for mechanical equilibrium across an internal partition?
Show the answer

C. They must share equal values of molar volume despite differing masses

Why

Equilibrium requires uniform intensive fields throughout, so any sub-volume reflects the same molar volume regardless of sample size. Conflating scale-independent properties with extensive totals leads to the false belief that sub-samples require identical masses or separate pressures.

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