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Explain the Gay Lussac's law of combination volume. How can it be interpreted in the light of Avogadro's hypothesis?

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When gases combine, they do so in volumes which bear a simple ratio to one another and to the volumes of the product if it is gaseous, provided all the volumes are measured at the same temperature and pressure.

N2         +        3H2      →         2NH3

1 vol               3 vol                  2 vol

N2 : H2 : NH3 = 1 : 3 : 2

which is simple whole number ratio

Explanation of Gay Lussac's Law:- Consider a reaction

A + B → C + D

Suppose 'a' molecules of A react with 'b' molecules of gas B.

Let n molecules be present in 1 mL of gas A.

n molecules will be present in 1 mL of gas B.

Therefore, 'a' molecules will be present h a/n ml, of gas A

and 'b' molecules will be present in b/n mL of gas B.

The volume of reacting gases A and B are, therefore, in the ratio of a/n : b/n, that is, a : b which is the ratio of small whole numbers.

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