Calculate the analytical molar concentrations of trichloroacetic acid in an aqueous solution that contains 152.9 mg of trichloroacetic acid,Cl3CCOOH (163.4 g/mol), in 19.3 mL (the acid is 73% ionized in water). Indicate units

World of Chemistry, 3rd edition
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Problem 13A
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Calculate the analytical molar concentrations of trichloroacetic acid in an aqueous solution that contains 152.9 mg of trichloroacetic acid,Cl3CCOOH (163.4 g/mol), in 19.3 mL (the acid is 73% ionized in water). Indicate units 

Expert Solution
Step 1

Analytical molar concentration of a solution refers to the initial number of moles of a solute in 1 L of the solution. So, it doesn't matter how much the reactant reacts to evaluate the analytical molar concentration.

Step 2

Given:
Mass of solute (chloroacetic acid) in the solution = 152.9 mg = 152.9 X 10-3 g

Molar mass of solute = 163.4 g/mol

Volume of solution = 19.3 mL = 19.3 X 10-3 L

Thus, analytical molar concentration of the solution:

M=number of moles of soluteVolume of solution=mass of solutemolar mass of solute×volume of solution=152.9×10-3g163.4 g/mol×19.3×10-3 L= 0.048 mol/L = 0.048 M

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