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The correct answer to the question is option 1: Avogadro`s hypothesis. Avogadro`s hypothesis states that equal volumes of different gases, at the same temperature and pressure, contain an equal number of molecules. This means that regardless of the type of gas, if you have the same volume of it at the same temperature and pressure, the number of molecules in each gas sample will be the same.
Option 2, Gay-Lussac`s hypothesis, is not the correct answer. Gay-Lussac`s hypothesis, also known as the Law of Combining Volumes, states that gases combine in simple whole number ratios when they react with each other under the same conditions.
Option 3, Planck`s hypothesis, is not the correct answer. Planck`s hypothesis refers to the quantum theory, which explains the behavior of matter and energy on the atomic and subatomic level, rather than the relationship between volumes of gases.
Option 4, KirchhofF`s theory, is not the correct answer. Kirchhoff`s theory refers to the laws of thermal radiation or the relationship between the emission, absorption, and transmission of light or electromagnetic radiation.
Therefore, the correct answer is option 1, Avogadro`s hypothesis, which describes the relationship between