Question
Define the law of multiple proportions. Explain it with two examples. How does this law point to the existance of atoms?

Answer

Law of multiple proportions: When two elements combine to form two or more chemical compounds, then the masses of one of the elements which combine with a fixed mass of the other, bear a simple ratio to one another, e.g., carbon combines with oxygen to form two compounds, namely, carbon dioxide and carbon monoxide. The masses of oxygen which combine with a fixed mass of carbon in $\mathrm{CO}_2$ and CO are 32 and 16 respectively. These masses of oxygen bear a simple ratio of $32: 16$ or $2: 1$ to each other. For example, sulphur combines with oxygen to form two compounds, namely, sulphur trioxide and sulphur dioxide.
The masses of oxygen which combine with a fixed mass of sulphur in $\mathrm{SO}_3$ and $\mathrm{SO}_2$ are 48 and 32 respectively. These masses of oxygen bear a simple ratio of $48: 32$ or $3: 2$ to each other. This law shows that there are constituents whom combine in a definite proportion. These constituents may be atoms. Thus, the law of multiple proportions shows the existence of atoms which combine to form molecules.

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