question_answer 89)

  A box contains some identical red coloured balls, labelled as A, each weighing 2 grams. Another box contains identical blue coloured balls, labelled as B, each weighing 5 grams. Consider the combinations AB, \[A{{B}_{2}}\],  \[{{A}_{2}}B\]and \[{{A}_{2}}{{B}_{3}}\] and show that law of multiple proportions is applicable.

Answer:

    The combinations are :

AB	\[A{{B}_{2}}\]	\[{{A}_{2}}B\]	\[{{A}_{2}}{{B}_{2}}\]
A           B	A             B	A              B	A            B
2g         5g	2g       10g	4g         5g	5g       15g
1g     2.5g	1g       5g	1g  1.25g	1g     3.75g

  Ratio of masses of B which combine with fixed mass of A are: 2.5 : 5 : 1.25 : 3.75 or 2 : 4 : 1 : 3 Simple whole number ratio shows that law of multiple proportion is applicable.