Question 7.C-L.6: Describe how you would prepare the following, using pure sol...

Describe how you would prepare the following, using pure solute and water:
a. 500 mL of 1.00  M  MgCl_2 solution
b. 100 mL of 12.0% (w/v) MgCl_2 solution
c. 1.00 L of 20.0% (v/v) ethylene glycol solution

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a.  M = \frac{mol  of  solute}{liters  of  solution}

mol of solute = (M) (liters of solution)
=  (1.00 M) (0.500 L)
= 0.500 mol of solute

The solute is MgCl_2, which has a formula weight of 95.2 u. The formula weight provides the factor in the following calculation:

0.500  \cancel{mol}   \cancel{MgCl_2} × \frac{95.2  g  MgCl_2}{1   \cancel{mol}   \cancel{MgCl_2}} = 47.6  g  MgCl_2

The solution is prepared by putting 47.6 g of MgCl_2 into a 500-mL flask and adding pure water to the mark, making certain all the solid solute dissolves and the resulting solu-tion is well mixed.

b.  \%(w/v) = \frac{g  of  solute}{mL   of   solution} × 100

g  of  solute  =  \frac{\%(w/v) (mL  of   solution)}{100} \\ \\ =  \frac{(12.0\%) (100  mL)}{100} = 12.0  g

The solution is prepared by putting 12.0 g of MgCl_2 into a 100-mL flask and adding pure water to the mark, making certain all the solid solute dissolves and the resulting solution is well mixed.

c. \%(v/v) = \frac{solute  volume}{solution  volume} × 100

solute  volume =  \frac{\%(v/v) (solution  volume)}{100} \\ \\ = \frac{(20.0\%) (1.00  L)}{100} =  0.200  L \\ \\  = 200  mL

The solution is prepared by putting 200 mL of ethylene glycol into a 1.00-L flask and adding pure water to the mark, making certain the two liquids are completely mixed to form the final solution.

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