At a constant absolute temperature, the concentration of ideal gas molecules was increased

At a constant absolute temperature, the concentration of ideal gas molecules was increased by 4 times. In this case, the gas pressure.

In accordance with the combined gas law, the pressure p, the absolute temperature T, and the concentration of molecules n of the ideal gas are related by the relation

p = n * k * T,

where k = const is the Boltzmann constant.

By condition, the gas temperature is unchanged, i.e., T = const.

Consider two cases (before and after changing the concentration):

p1 = n1 * k * T;

p2 = n2 * k * T.

Divide the second equation by the first; we get:

p2 / p1 = n2 / n1.

According to the condition n2 / n1 = 4, therefore, p2 / p1 = 4, that is, at a constant temperature with an increase in the concentration of gas molecules by 4 times and its pressure increases by 4 times.



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