Question

If 500 mL of a 5 M solution is diluted to 1500 mL, what will be the molarity of the solution obtained?

• A. 1.59 M
• B. 1.5 M
• C. 0.017 M
• D. 1.66 M

Answer 1

The correct option is A 1.59 M

Molarity of the solution after dilution

Initial molarity of solution $\left(M_1\right)$ = 5 M

Initial volume of solution $\left(V_1\right)$ = 500 mL

On dilution, total volume of solution increases.

Final volume of solution $\left(V_2\right)$ = 1500 mL

Final molarity of solution $\left(M_2\right)=\times M$

For dilution process, formula used is:-

$M_1{V}_1=M_2{V}_2$

$5\times 500=x\times 1500$

$x=\frac{5\times 500}{1500}=1.66M$

Thus, when a 500 mL of 5 M solution is diluted to 1500 mL, the molarity of solution obtained is 1.66 M.