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45
Subjective

A box contains some identical red coloured balls, labelled as $A$, each weighing 2 g . Another box contains identical blue coloured balls, labelled as $B$, each weighing 5 g . Consider the combinations $A B, A B_2$, $A_2 B$ and $A_2 B_3$ and show that law of multiple proportions is applicable.

Explanation

Combnation Mass of A (g) Mass of B (g)
AB 2 5
AB$$_2$$ 2 10
A$$_2$$B 4 5
A$$_2$$B$$_3$$ 4 15

Mass of $B$ which is combined with fixed mass of $A$ (say 1 g ) will be $2.5 \mathrm{~g}, 5 \mathrm{~g}, 1.25 \mathrm{~g}$ and 3.75 g . They are in the ratio $2: 4: 1: 3$ which is a simple whole number ratio. Hence, the law of multiple proportions is applicable.