Answer :
Taking into account the definition of dilution:
- you have to use 8.23 mL of a stock solution of 7.00 M HNO₃ to prepare 0.120 L of 0.480 M HNO₃.
- If you dilute 20.0 mL of the stock solution to a final volume of 0.270 L , the concentration of the diluted solution is 0.518 M.
Dilution
Dilution is the process of reducing the concentration of solute in solution, which is accomplished by simply adding more solvent to the solution at the same amount of solute.
In a dilution the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.
A dilution is mathematically expressed as:
Ci×Vi = Cf×Vf
where
- Ci: initial concentration
- Vi: initial volume
- Cf: final concentration
- Vf: final volume
Volume of stock solution
In this case, you know:
- Ci= 7 M
- Vi= ?
- Cf= 0.480 M
- Vf= 0.120 L
Replacing in the definition of dilution:
7 M× Vi= 0.480 M× 0.120 L
Solving:
Vi= (0.480 M× 0.120 L)÷ 7 M
Vi= 0.00823 L= 8.23 mL (being 1 L= 1000 mL)
Finally, you will need 8.23 mL of the stock solution.
Concentration of the diluted solution
In this case, you know:
- Ci= 7 M assuming the stock solution is 7.00 M HNO₃
- Vi= 20 mL= 0.02 L
- Cf= ?
- Vf= 0.270 L
Replacing in the definition of dilution:
7 M× 0.02 L= Cf× 0.270 L
Solving:
(7 M× 0.02 L)÷ 0.270 L= Cf
0.518 M= Cf
Finally, the concentration is 0.518 M.
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