Question
If $$500\,mL$$ of as $$5\,M$$ solution is diluted to $$1500\,mL,$$ what will be the molarity of the solution obtained ?
A.
1.5$$\,M$$
B.
1.66$$\,M$$
C.
0.017$$\,M$$
D.
1.59$$\,M$$
Answer :
1.66$$\,M$$
Solution :
$$\eqalign{
& {M_1}{V_1} = {M_2}{V_2} \cr
& 5\,M \times 500\,mL = {M_2} \times 1500\,mL \cr
& \therefore \,\,{M_2} = \frac{{5 \times 500}}{{1500}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1.66\,M \cr} $$