   Chapter 15, Problem 39QAP ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
3 views

# 39. Standard solutions of calcium ion used to test for water hardness are prepared by dissolving pure calcium carbonate. CaCO3, in dilute hydrochloric acid. A 1.745-g sample of CaCO3 is placed in a 250.O-mL volumetric flask and dissolved in HCI. Then the solution is diluted to the calibration mark of the volumetric flask. Calculate the resulting molarity of calcium ion.

Interpretation Introduction

Interpretation:

The resulting molarity of calcium ion is to be calculated.

Concept Introduction:

The atomic mass of an element is defined as the sum of number of protons and number of neutrons. Molar mass of an element is determined from atomic mass of an element.

The number of moles is calculatede by the formula,

Moles=MassgMolarmass

Molarity is used to find out the concentration of solution.

The molarity is calculated by the formula,

Molarity=NumberofmolesofsoluteVolumeofsolution.

Explanation

It is given that 1.745-g sample of CaCO3 is added in total volume of 250.0-mL of volumetric flask.

The chemical equation of reaction between CaCO3 and HCl is shown below.

CaCO3+2HClCa2++2Cl+CO2+H2O

The molar mass of CaCO3 is calculated as shown below.

MolarmassofCaCO3=AtomicmassofCa+AtomicmassofC+3AtomicmassofO=40+12+316g/mol=100g/mol

The number of moles of Ca2+ is calculated by the formula,

Moles=Mass

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