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Two samples A and B of chloride of gold contains 15.1% and 35.1% chloride respectively show that these figures are in agreement with the law of multiple proportion (Au=197, cl=35.5)

Sagot :

Considering the law of multiple proportions, they obey the law of multiple proportion.

The law of multiple proportions or Dalton's law establishes that if two elements form more than one compound, establishing the composition of one of them, the other element will be in the ratio of natural numbers (integers and simple).

In other words, when two elements form more than one compound, the masses of one of them that combine with the same mass of the other element are in a simple relationship, expressible by a quotient of whole numbers.

In this case, two samples A and B of chloride of gold contains 15.1% and 35.1% chloride respectively.

This is, A contains 15.1% of Cl and  84.9% of Au . So:

[tex]\frac{84.9}{15.1}= 5.6[/tex]

This indicates that there is 5.6 g of Au per gram of Cl.

And B contains 35.1% of Cl and  64.9% of Au . So:

[tex]\frac{64.9}{35.1}= 1.8[/tex]

This indicates that there is 1.8 g of Au per gram of Cl.

Then, the relationship can be expressed as:

[tex]\frac{5.6}{1.8}=\frac{3}{1}[/tex]

Since the composition of the atoms in the compounds are in simple ratio to each other, they obey the law of multiple proportion.

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