Solutions Exercises Molarity

Exercises

Exercise 1. What is the concentration, M, of an aqueous solution prepared by adding enough solvent to 4.75 g of CaCl2 to make 250.00 mL of solution.

\(\displaystyle M\;=\;\frac{moles\;solute}{L\;solution}\)

We need to convert 4.75 g of CaCl2 to moles–0.0428 moles. We then convert the 250.00 mL of solution to liters–0.25000 L.

\(\displaystyle M\;=\;\frac{0.0428\;CaCl_2}{0.25000\;L\;solution}\;=\;\mathbf{0.171\;M}\)

Exercise 2. How many moles of glucose are present in 155 mL of 0.85 M glucose (C6H12O6)?

155 mL = 0.155 L

\(\displaystyle moles\;C_6H_{12}O_6\;=\;0.155\;L\;\times\;0.85\;\frac{mol}{L}\;=\;\mathbf{0.132\;mol\;C_6H_{12}O_6}\)

Exercise 3. How many grams of boric acid (H3BO3) are present in 245 mL of 0.450 M H3BO3?

Mm H3BO3 = 61.83 g/mol

\(\displaystyle moles\;H_3BO_3\;=\;0.245\;L\;times\;0.450\;\frac{mol}{L}\;=\;0.11\underline{0}25\;mol\;H_3BO_3\)

Convert moles to g

\(\displaystyle 0.11\underline{0}25\;mol\;\times\;\frac{61.83\;g}{1\;mol}\;=\;\mathbf{6.82\;g\;H_3BO_3}\)

Exercise 4. How many mL of 0.145 M NaCl solution contain 2.35 g of NaCl?

First convert g of NaCl to moles. Mm NaCl = 58.44 g/mol
 
\(\displaystyle 2.35\;g\;NaCl\;\times\;\frac{1\;mol\;NaCl}{58.44\;g\;NaCl}\;=\;{0.040\underline{2}12\;mol\;NaCl}\)
 
\(\displaystyle V\;=\;\frac{0.040\underline{2}12\;mol}{0.145\;M}\;=\;\mathbf{0.277\;L}\)
 
0.277 L = 277 mL

Exercise 5. What volume of solution, in mL, would result from the dilution of 25.00 mL of 3.50 M NaOH to 0.100 M NaOH?

Here we use M1V1 = M2V2 and solve for M2

M1 = 3.50 M NaOH, V1 = 25.00 mL, M2 = 0.100 M, and V2 = ?

\(\displaystyle V_2\;=\;\frac{3.50\;M\;\times\;25.00\;mL}{0.100\;M}\;=\;\mathbf{875\;mL}\)

Exercise 6. Calculate the final volume if 5.00 mL of 1.65 M CaCl2 is diluted to a final concentration of 0.105 M.

Here we use M1V1 = M2V2 and solve for V2

M1 = 1.65 M, V1 = 5.00 mL, M2 = 0.105 M, and V2 = ?

\(\displaystyle V_2\;=\;\frac{1.65\;M\;\times\;5.00\;mL}{0.105\;M}\;=\;\mathbf{78.6\;mL}\)

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2 thoughts on “Solutions Exercises Molarity

  1. Jordan Arias

    The Answer to exercise 5 is incorrect. The inputs of the calculations do not match what the question is asking.

    Reply

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