The derivation of the ideal-gas equation included the assumption that the number of molecules is very large, so that we could compute the average force due to many collisions. However, the ideal-gas equation holds accurately only at low pressures, where the molecules are few and far between. Is this inconsistent? Why or why not?

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The derivation of the ideal-gas equation included the assumption
that the number of molecules is very large, so that we could compute
the average force due to many collisions. However, the ideal-gas
equation holds accurately only at low pressures, where the molecules
are few and far between. Is this inconsistent? Why or why not?

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