Question

Show, with calculations, how the following data illustrate thelaw of multiple proportions:Compound 1: 47.5 mass % sulfur and 52.5 mass % chlorineCompound 2: 31.1 mass % sulfur and 68.9 mass % chlorine

Short answer

Yes, it follows the law of multiple proportions. Because the ratio calculated is$\frac{\mathbf{1}}{\mathbf{2}}$

This can be observed by the calculation of the following value in two steps.

Step-by-step solution

Step1. Calculation at different composition.

C O (100g)

1 27.2g 72.8g

1g =$\frac{\mathbf{27}\mathbf{.}\mathbf{2}}{\mathbf{72}\mathbf{.}\mathbf{8}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{3736}\mathit{g}$

2 42 g 57.1g

$\mathbf{=}\mathbf{}\frac{\mathbf{42}\mathbf{.}\mathbf{9}}{\mathbf{57}\mathbf{.}\mathbf{1}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{7513}\mathit{g}$

Step2. Calculation of mass ratio.

Mass ratio$\mathbf{=}\mathbf{}\frac{\mathbf{0}\mathbf{.}\mathbf{3736}}{\mathbf{0}\mathbf{.}\mathbf{7513}}\mathbf{=}\mathbf{~}\frac{\mathbf{1}}{\mathbf{2}}$

Therefore, we can conclude that it follows the law of multiple proportions because the ratio is 1/2 .