Sample
Study Sheet:
Dilution Problems
Tipoff There
are several tipoffs for this type of problem. Perhaps the most general is
the mention of two concentrations of the same
substance. Other tipoffs include a reference to dilution, especially
to making a more dilute solution from a more concentrated solution.
General Steps There are two possible approaches.
Using Dimensional
Analysis  You can use the general dimensional analysis thought
process, taking care to identify clearly the units of concentrated
solution, dilute solution, and pure solute. The molarities given in the
problem are used as conversion factors. The following is one general
example:
Using the Dilution
Equation
(a shorter alternative) Assign the variables M_{C},
V_{C}, M_{D}, and V_{D} to the values you are
given and the value that you want.
 Write the dilution equation.
M_{C}V_{C}
= M_{D}V_{D}
 Solve the equation for the unknown variable.
 Plug in the values for the other variables.
 Cancel your units.
 If your units do not cancel to yield the desired unit, make
the necessary unit conversions so the units do cancel correctly.
 Complete the calculation, round your answer to the correct
significant figures, and report the correct unit.
Click here to see
Example 2 with the dimensional analysis technique.
Click here to see
Example 2 with the dilution equation.
Click here to see an exercise.
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the Making Solutions Page.
