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 F9.  QUANTITATIVE DILUTION OF SOLUTIONS 

It is common practice in the laboratory to make a dilution from a more concentrated starting solution, termed the stock solution, by the addition of more solvent.  For all aqueous solutions, distilled water, rather than tap water, should be used unless, depending upon the procedure(s) involved, de-ionised water proves to be a satisfactory but more economical alternative.

Quantitative dilution might be important in order to:

  • make a solution of specified concentration for a particular procedure from a standard solution;

  • dilute an unknown sample prior to analysis to give a concentration suitable for titration;

  • perform a serial dilution.

As a solution is diluted, the chemical amount of solute remains the same, but as it disperses through
a larger volume, the concentration is decreased.  In other words, the chemical amount,
n is a constant, and as   n  =  c Vc 
V  must be constant throughout dilution.  So, it follows that

2022_solution_concentration_amount_ncV_v
2022_solution_concentration_amount_ncV_v

diluted concentration and volume.  The arithmetic is straightforward.

2022_solution_concentration_amount_ncV_v

In accurate work, dilution should be carried out using titrimetric - aka volumetric - flasks so the final volume of the solution is measured, taking account of volume changes on mixing that may occur with dilution.

2022_solution_concentration_amount_ncV_v
2022_solution_concentration_amount_ncV_v
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