What volume of (dm\(^3\)) of water will be added to 10dm\(^3\) of 2.0 mol/dm\(^3\) HCL acid solution to give a final solution of 0.5 mol/dm\(^3\)?

A.

30

B.

40

C.

20

D.

50

Correct answer is B

To make a fixed amount of a dilute solution from a stock solution,

use the formula: C1V1 = C2V2 

where: V1 = Volume of stock solution needed to make the new solution. 

C1 = Concentration of stock solution.

V2 = Final volume of new solution.

C2 = Final  concentration of stock solution

2 * 10 = 0.5 * V2

20 = 0.5V2

\(\frac{20}{0.5}\) = V2

= 40dm\(^3\)