Answer:
¹/₂₄ dm³ or 0.417 dm³
Explanation:
6.0 M = 6.0 mol/dm³
0.5 M = 0.5 mol/dm³
500 ml = 0.5 dm³
V = volume of 6.0 M solution required (dm³)
Volume × concentration = moles:
0.5 × 0.5 = 0.25
500 ml or 0.5 dm³ of 0.5 M solution contains 0.25 moles of HNO₃
We have 6.0 M solution available, we need 0.25 moles;
Using the formula, we can find the volume of the solution that contains this amount of moles:
6.0 × V = 0.25
V = 0.25/6
V = ¹/₄(¹/₆)
V = ¹/₂₄
¹/₂₄ dm³ of the 6.0 M solution has the necessary moles of HNO₃ to achieve the desired volume of solution at the desired concentration;
Another liquid (or solution), such as water, without any HNO₃ must be used to make up the total 500 ml or 0.5 dm³, diluting the HNO₃ to the desired concentration:
0.5 - ¹/₂₄ = ¹²/₂₄ - ¹/₂₄
= ¹¹/₂₄
¹/₂₄ dm³ of the 6.0 M solution should be diluted with the ¹¹/₂₄ dm³ of liquid (0 M HNO₃ solution) to produce 0.5 dm³ of 0.5 M solution
