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How Does Avogadro'S Law Explain Gay - Lussac'S Law of Combining Volumes? - Chemistry

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Question

How does Avogadro's law explain Gay - lussac's law of combining volumes?

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Solution

Gay-Lussac experimentally determined that one volume of hydrogen and one volume of chlorine react to produce two volumes of hydrogen chloride gas.
According to Avogadro's law, if :
1 volume of hydrogen contains n molecules of the gas then 1 volume of chlorine also contains n molecules of the gas. Therefore 2 volume of hydrogen chloride contain 2n molecules of the gas.

\[\ce{H2 + Cl2 → 2HCI}\]
1 vol  1 vol       2 vol    (by Gay-Lussac)
n          n          2n        (By Avogadro)

but hydrogen and chlorine are diatomic.
So, 2 atoms + 2 atoms →  2 molecules
1 atom + 1 atom → 1 molecule
i.e. 1 molecule of hydrogen chloride is formed when 1 atom of hydrogen combines with 1 atom of chlorine. Thus Avogadro's law explains Gay-Lussac's law of combining volumes.

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Chapter 5: Mole Concept And Stoichiometry - Exercise 1 [Page 115]

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Frank Chemistry Part 2 [English] Class 10 ICSE
Chapter 5 Mole Concept And Stoichiometry
Exercise 1 | Q 7.2 | Page 115

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