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What volume of dm 3 of water will be added to 1... - JAMB Chemistry 2022 Question

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 option: b

For a fixed amount of a dilute solution from a stock solution: C1V1 = C2V2 

where:

  • V1 = Volume of stock solution needed to make the new solution
  • C1 = Concentration of stock solution
  • V2 = Final volume of the new solution
  • C2 = Final  concentration of the stock solution

2 x 10 = 0.5 x V2

20 = 0.5V2

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

= 40dm\(^3\)

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