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n
{\displaystyle n}
depends on
T
{\displaystyle T}
and
p
{\displaystyle p}
, and their variations cancel out in this expression; the advantage in extracting
A
{\displaystyle A}
and presenting it as a combination of the other quantities is that it gives an experimental way to measure
A
{\displaystyle A}
(one simply needs to measure
n
{\displaystyle n}
for a gas with known temperature and pressure).