Carbon and hydrogen combine to form three compounds A, B, and C. The percentage of hydrogen in these compounds are : `25,14.3 and 7.7` respectively. Show that the data illustrates the Law of Multiple Proportions.

Explanation

Let us fix `1g` of hydrogen as the fixed weight in the three compounds
In the first compound
Weight of hydrogen `= 25.0 g`
Weight of carbon `= 100 -25 = 75.0 g`
`25.0 g` of hydrogen have combined with carbon `= 75.0 g`
`1.0 g` of hydrogen has combined with carbon `= (75.0)/(25.0)g=3g`
In the second compound
Weight of hydrogen `=14.3 g`
Weight of carbon `= 100 - 14.3 = 85.7 g`
`14.3 g` of hydrogen have combined with carbon `= 100 - 14.3 = 85.7 g`
`14.3 g` pf hydrogen have combined with carbon `= 85.7 g`
`1.0 g` of hydrogen has combined with carbon `= (85.7)/(14.3)g=6g`
In the third compound
Weight of hydrogen `= 7.7 g`
Weight of carbon `= 100-7.7 = 92.3 g`
`7.7 g` of hydrogen have combined with carbon ` = 92.3 g`
`1.0 g` of hydrogen has combined with carbon `= (92.3)/(7.7) g = 12 g`
Ratio by weight of carbon which combine with `1g` of hydrogen in the three compounds is `3:6:12 or 1:2:4`. As the ratio is simple whole number in nature, the Law of Multiple Proportions is proved.