Chemistry 10th Edition

Published by Brooks/Cole Publishing Co.
ISBN 10: 1133610668
ISBN 13: 978-1-13361-066-3

Chapter 11 - Reactions in Aqueous Solutions II: Calculations - Exercises - Standardization and Acid-Base Titrations - Page 395: 36

Answer

$m(CaCO_{3}) =150mg$

Work Step by Step

The reaction of neutralization of calcium - carbonate by hydrochloric acid is as following: $CaCO_{3} + 2HCl \rightarrow CaCl_{2} + H_{2}O + CO_{2}$ The amount of $CaCO_{3}$ is two times less than the amount of hydrochloric acid, considering stoichiometric coefficients. Therefore, $n(CaCO_{3}) = \frac{1}{2}n(HCl) = \frac{1}{2}c(HCl)\times V(HCl)=\frac{1}{2}\times 0.112 \frac{mol}{dm^3}\times 0.0268 dm^3 = 0.0015mol$ This amount can be easily converted to the mass of calcium - carbonate contained in one tablet: $m(CaCO_{3}) = M(CaCO_{3})\times n(CaCO_{3}) = 100 \frac{g}{mol} \times 0.0015mol = 0.15g = 150mg$
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