   # A 1.71-g sample of Ba(OH) 2 (s) was dissolved in water to give 250 mL of solution. What is the OH − concentration in this solution? (a) 0010 M (b) 0.080 M (c) 0.10 M (d) 0.040 M ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 4.5, Problem 1RC
Textbook Problem
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## A 1.71-g sample of Ba(OH)2(s) was dissolved in water to give 250 mL of solution. What is the OH− concentration in this solution? (a) 0010 M (b) 0.080 M (c) 0.10 M (d) 0.040 M

Interpretation Introduction

Interpretation:

The concentration of OH ion in the given solution should be determined.

Concept introduction:

• Concentration of solutions can be expressed in various terms; molarity is one such concentration expressing term.
• Molarity (M) of a solution is the number of gram moles of a solute present in one liter of the solution.

Molarity=MassperlitreMolecular mass

• A solution containing one gram mole or 0.1 gram of solute per litre of solution is called molar solution.
• Amount of substance (mol) can be determined by using the equation,

Numberofmole=GivenmassofthesubstanceMolarmass

• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
• For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
• Concentrationofsubstance=AmountofsubstanceVolume

### Explanation of Solution

Amount of Ba(OH)2 (in mol) can be calculated as follows,

1.71gBa(OH)2×1molofBa(OH)2171.34gBa(OH)2=0.0098molBa(OH)2

From the above calculated value it is possible to find the concentration of Ba(OH)2 .

ConcentrationofBa(OH)2=0.0098molBa(OH)20.250L=0.03992M=0.03992mol/L

To determine the concentration of the OH- ions recognizing that one mole of Ba(OH)2 compound contains one moles of Ba2+ and 2molofOH

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