Chemistry
Chemistry
4th Edition
ISBN: 9780078021527
Author: Julia Burdge
Publisher: McGraw-Hill Education
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 16, Problem 165AP
Interpretation Introduction

Interpretation:

The mass of CH3NH2 present in a 100.0 mL solution, which has the pH value of 10.64, is to be determined.

Concept introduction:

pH is the measure of acidity of a solution, which depends on the concentration of hydronium ions and the temperature of the solution.

The formula to calculate [H3O+] in the solution from the pH is:

pH=log[H3O+]=log[H+] as [H3O+]=[H+]

[H3O+]=10pH…… (1)

The relationship between [H3O+] and [OH] is:

Kw=[H3O+][OH]…… (2)

The value of Kw is 1.0×1014.

The ionization of the weak base takes place as:

B(aq)+H2O(l)BH+(aq)+OH(aq)

Kb is the measure of ionization of a base and is known as base-ionization constant, which is specific at a particular temperature:

Kb=[BH+][OH][B]…… (3)

The number of moles (n) of any substance from its given mass (m) and molar mass (M) is calculated as:

n=mM…… (4)

Here, m is the given mass and M is the molar mass.

Molarity (M) of a solution is calculated as:

M=nV…… (5)

Here, n is the number of moles and V is the volume.

Expert Solution & Answer
Check Mark

Answer to Problem 165AP

Solution: 2.7×103 g.

Explanation of Solution

Given information:

The pH of methylamine CH3NH2 solution is 10.64. Also, the volume of the solution is given as 100.0 mL.

Use equation (1) to calculate the concentration of hydronium ions in the solution with the use of pH as:

[H3O+]=10pH

[H3O+]=1010.64=2.29×1011M

Now, use equation (2) to calculate the value of [OH], and substitute the value of [H3O+] and Kw as follows:

Kw=[H3O+][OH]

1.0×1014=(2.29×1011)[OH][OH]=1.0×10142.29×1011[OH]=4.4×104M

CH3NH2 is a weak base and when a weak base is dissolved in water, only partial ionization takes place into OH ions and its conjugate acid. Thus, the concentration of CH3NH2 is determined by Kb of the base.

Refer to table 16.7 for the Kb value as 4.4×104.

The reaction of methylamine is depicted as:

CH3NH2(aq)+H2O(l)CH3NH3+(aq)+OH(aq)

Prepare an equilibrium table and represent each of the species in terms of x as shown below.

CH3NH2(aq)H2O(l)CH3NH3+(aq)OH(aq)Initial concentration(M)x00Change in concentration(M)4.4×104+4.4×104+4.4×104Equilibrium concentration(M)x(4.4×104)4.4×1044.4×104

Now, substitute these concentrations in equation (3) as follows:

Kb=[BH+][OH][B]

Kb=(4.4×104)(4.4×104)(x(4.4×104))

Now, substitute the value of Kb in the above equation as follows:

4.4×104=(4.4×104)(4.4×104)(x(4.4×104))x(4.4×104)=(4.4×104)(4.4×104)(4.4×104)x=8.8×104

Thus,

[CH3NH2]=8.8×104 M.

The molarity of methylamine is 8.8×104 M. Now, use equation (5) to calculate the number of moles of CH3NH2 for 100.0 mL:

M=nV

Here, n is the number of moles and V is the volume.

8.8×104 M=n0.100 Ln=(8.8×104 M)(0.100 L)n=8.8×105 mol

The molar mass of CH3NH2 is 31.06 g/mol. Now, use equation (4) to calculate the mass of CH3NH2 as follows:

n=mM

Here, m is the given mass and M is the molar mass.

8.8×105 mol=m31.06 g/molm=(8.8×105 mol)(31.06 g/mol)m=2.7×103 g

Conclusion

The mass for the methylamine solution in water is 2.7×103 g.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 16 Solutions

Chemistry

Ch. 16.3 - Prob. 1PPACh. 16.3 - Practice Problem BUILD The value of at normal...Ch. 16.3 - Prob. 1PPCCh. 16.3 - Determine the pH of a solution at 25°C in which [...Ch. 16.3 - 16.3.2 Determine in a solution at...Ch. 16.3 - Determine the pOH of a solution at 25°C in which [...Ch. 16.3 - Determine [ OH − ] in a solution at 25°C if pH =...Ch. 16.4 - Practice ProblemATTEMPT Determine the pH of a...Ch. 16.4 - Practice Problem BUILD Determine the pH of a...Ch. 16.4 - Practice Problem CONCEPTUALIZE Strong acid is...Ch. 16.4 - Calculate the pH of a 0.075–-M solution of...Ch. 16.4 - 16.4.2 What is the concentration of in a solution...Ch. 16.4 - 16.4.3 What is the of a solution at that is...Ch. 16.4 - What is the concentration of KOH in a solution at...Ch. 16.4 - What is the pH of a solution at 25°C that is...Ch. 16.4 - What is the concentration of Ca ( OH ) 2 in a...Ch. 16.4 - Which diagram best represents a solution of...Ch. 16.5 - Practice Problem ATTEMPT Calculate the hydronium...Ch. 16.5 - Practice Problem BUILD Calculate the hydroxide ion...Ch. 16.5 - Practice Problem CONCEPTUALIZE What is the value...Ch. 16.5 - The K a of a weak acid is 5.5 × 10 − 4 . What is...Ch. 16.5 - A 0.042-M solution of a weak acid has pH 4.01 at...Ch. 16.5 - The diagrams show solutions of three different...Ch. 16.6 - Practice ProblemATTEMPT Determine the pOH of a...Ch. 16.6 - Practice Problem BUILD Determine the pH of a...Ch. 16.6 - Prob. 1PPCCh. 16.6 - What is the pH of a 0.63-M solution of weak base...Ch. 16.6 - A 0.12-M solution of a weak base has a pH of 10.76...Ch. 16.6 - The diagrams show solutions of three different...Ch. 16.7 - Practice Problem ATTEMPT Calculate the hydroxide...Ch. 16.7 - Practice ProblemBUILD Calculate the hydronium ion...Ch. 16.7 - Practice ProblemCONCEPTUALIZE What is the value of...Ch. 16.7 - 16.7.1 Calculate the of the cyanide ion . (See...Ch. 16.7 - Which of the anions listed is the strongest base?...Ch. 16.7 - The diagrams show solutions of three different...Ch. 16.8 - Practice Problem ATTEMPT Calculate the pH of an...Ch. 16.8 - Practice ProblemBUILD Calculate the pOH of an...Ch. 16.8 - Practice Problem CONCEPTUALIZE Estimate the pH of...Ch. 16.8 - Calculate the equilibrium concentration of CO 3 2...Ch. 16.8 - What is the pH of a 0.40-M solution of phosphoric...Ch. 16.8 - List the molecular and ionic species in order of...Ch. 16.8 - Which is true for any polyprotic acid? a) K a2 > K...Ch. 16.9 - Practice Problem ATTEMPT Calculate the...Ch. 16.9 - Practice Problem BUILD Calculate the concentration...Ch. 16.9 - Practice Problem CONCEPTUALIZE Which of the plots...Ch. 16.10 - Practice Problem ATTEMPT Calculate the pOH of the...Ch. 16.10 - Practice Problem BUILD Calculate the pH of the...Ch. 16.10 - Practice ProblemCONCEPTUALIZE Which of the...Ch. 16.10 - Calculate the pH of a 0.075-M solution of...Ch. 16.10 - Calculate the pH of a 0.082-M solution of...Ch. 16.10 - Prob. 3CPCh. 16.10 - Prob. 4CPCh. 16.10 - The diagrams represent solutions of three salts...Ch. 16.11 - Practice Problem ATTEMPT An aqueous solution of a...Ch. 16.11 - Practice Problem BUILD An aqueous solution of a...Ch. 16.11 - Practice ProblemCONCEPTUALIZE Which of the...Ch. 16.12 - Practice Problem ATTEMPT Calculate the pH at of a...Ch. 16.12 - Practice ProblemBUILD Calculate the pH at 25°C of...Ch. 16.12 - Practice Problem CONCEPTUALIZE The diagrams show...Ch. 16.12 - 16.12.1 Which of the following cannot act as a...Ch. 16.12 - Which of the following is a Lewis acid but not a...Ch. 16.13 - Practice Problem ATTEMPT Determine the pH and...Ch. 16.13 - Prob. 1PPBCh. 16.13 - Practice Problem CONCEPTUALIZE Which of the...Ch. 16.14 - Practice Problem ATTEMPT Calculate the of a weak...Ch. 16.14 - Practice Problem BUILD Calculate the of a weak...Ch. 16.14 - Practice Problem CONCEPTUALIZE Calculate K a...Ch. 16.15 - Practice Problem ATTEMPT Calculate the pH at of a...Ch. 16.15 - Practice ProblemBUILD Calculate the pH at 25°C of...Ch. 16.15 - Practice Problem CONCEPTUALIZE The diagrams...Ch. 16.16 - Practice ProblemATTEMPT Determine the K b of a...Ch. 16.16 - Practice Problem BUILD Determine the of a weak...Ch. 16.16 - Practice Problem CONCEPTUALIZE Determine the...Ch. 16.17 - Practice Problem ATTEMPT Determine (a) K b of the...Ch. 16.17 - Practice ProblemBUILD Determine (a) K b of the...Ch. 16.17 - Practice problemCONCEPTUALIZE Fee each week acid...Ch. 16.18 - Practice Problem ATTEMPT Calculate the...Ch. 16.18 - Practice Problem BUILD Calculate the...Ch. 16.18 - Practice ProblemCONCEPTURALIZE Which of the...Ch. 16.19 - Practice ProblemATTEMPT Indicate which is the...Ch. 16.19 - Practice Problem BUILD Based on the information in...Ch. 16.19 - Prob. 1PPCCh. 16.20 - Practice ProblemATTEMPT Determine the pH of a...Ch. 16.20 - Practice ProblemBUILD Determine the concentration...Ch. 16.20 - Practice ProblemCONCEPTUALIZE Which of the...Ch. 16.21 - Practice ProblemATTEMPT Determine the pH of a...Ch. 16.21 - Practice ProblemBUILD Determine the concentration...Ch. 16.21 - Practice Problem CONCEPTUALIZE Which of the...Ch. 16.22 - Practice Problem ATTEMPT Predict whether a 0.10-M...Ch. 16.22 - Prob. 1PPBCh. 16.22 - Prob. 1PPCCh. 16.23 - Practice ProblemATTEMPT Identify the Lewis acid...Ch. 16.23 - Practice Problem BUILD Write formulas for the...Ch. 16.23 - Practice Problem CONCEPTUALIZE Which of the...Ch. 16 - Calculate the pH of a solution that is 0.22 M in...Ch. 16 - 16.2 Determine pH at the equivalence point in the...Ch. 16 - Calculate the pH of a solution that is 0.22 M in...Ch. 16 - 16.4 Determine pH at the equivalence point in the...Ch. 16 - Define Brønsted acids and bases. Give an example...Ch. 16 - For a species to act as a Brønsted base, an atom...Ch. 16 - 16.3 Classify each of the following species as a...Ch. 16 - Identify the acid-base conjugate pairs in each of...Ch. 16 - 16.5 Write the formulas of the conjugate bases of...Ch. 16 - Write the formula for the conjugate acid of each...Ch. 16 - Which of the following could represent a Brønsted...Ch. 16 - 16.8 Oxalic acid has the following structure: An...Ch. 16 - Rite the equilibrium expression for the...Ch. 16 - 16.10 In Section 15.3 we learned that when we...Ch. 16 - 16.11 The equilibrium constant for the...Ch. 16 - 16.12 Define the term amphoteric. Ch. 16 - 16.13 Compare the magnitudes of in aqueous...Ch. 16 - Calculate the OH - concentration in an aqueous...Ch. 16 - 16.15 Calculate the concentration in an aqueous...Ch. 16 - The value of K w at 50°C is 5.48 × 10 − 14 ....Ch. 16 - The value of K w at 100°C is 5.1 × 3 10 − 13 ....Ch. 16 - Prob. 18QPCh. 16 - Prob. 19QPCh. 16 - Prob. 20QPCh. 16 - Prob. 21QPCh. 16 - Prob. 22QPCh. 16 - Calculate the concentration of OH- ions in a 1 .4...Ch. 16 - Prob. 24QPCh. 16 - 16.25 Calculate the pH of each of the following...Ch. 16 - Calculate the pH of each of the following...Ch. 16 - Prob. 27QPCh. 16 - Prob. 28QPCh. 16 - 16.29 The pOH of a solution is 9.40 at . Calculate...Ch. 16 - Prob. 30QPCh. 16 - Prob. 31QPCh. 16 - 16.32 A solution is made by dissolving 18.4 g of ...Ch. 16 - Prob. 33QPCh. 16 - Prob. 34QPCh. 16 - Prob. 35QPCh. 16 - Prob. 36QPCh. 16 - Prob. 37QPCh. 16 - Prob. 38QPCh. 16 - Prob. 39QPCh. 16 - 16.40 Calculate the concentration of in a...Ch. 16 - Calculate the concentration of HNO 3 in a solution...Ch. 16 - Prob. 42QPCh. 16 - Prob. 43QPCh. 16 - Prob. 44QPCh. 16 - Prob. 45QPCh. 16 - Explain what is meant by the strength of an acid.Ch. 16 - Prob. 47QPCh. 16 - Prob. 48QPCh. 16 - Why do we normally not quote K a values for strong...Ch. 16 - Which of the following solutions has the highest...Ch. 16 - Without referring to the text, write the formulas...Ch. 16 - In biological and medical applications, it is...Ch. 16 - 16.53 The for benzoic acid is Calculate the pH...Ch. 16 - The K a for hydrofluoric acid is 7.1 × 10 − 4 ....Ch. 16 - Calculate the pH of an aqueous solution at 25°C...Ch. 16 - Calculate the pH of an aqueous solution at 25°C...Ch. 16 - 16.57 Determine the percent ionization of the...Ch. 16 - Prob. 58QPCh. 16 - Prob. 59QPCh. 16 - Prob. 60QPCh. 16 - Calculate the K a of a weak acid if a 0.19 − M...Ch. 16 - Prob. 62QPCh. 16 - What is the original molarity of a solution of...Ch. 16 - What is the original molarity of a solution of a...Ch. 16 - 16.65 Which of the following statements are true...Ch. 16 - Prob. 66QPCh. 16 - Prob. 67QPCh. 16 - Compare the pH values for 0.10 − M solutions of...Ch. 16 - Which of the following has a higher pH: (a) 1 .0 M...Ch. 16 - Prob. 70QPCh. 16 - The pH of a 0.30-M solution of a weak base is...Ch. 16 - What is the original molarity of an aqueous...Ch. 16 - Prob. 73QPCh. 16 - Prob. 74QPCh. 16 - Prob. 75QPCh. 16 - Prob. 76QPCh. 16 - Prob. 77QPCh. 16 - Prob. 78QPCh. 16 - 16.79 Calculate for each of the following ions: ...Ch. 16 - Prob. 80QPCh. 16 - Prob. 81QPCh. 16 - Prob. 82QPCh. 16 - Prob. 83QPCh. 16 - Prob. 84QPCh. 16 - Compare the pH of a 0 .040 M HCl solution with...Ch. 16 - What are the concentrations of HSO 4, – SO 2– 4 ,...Ch. 16 - 16.87 Calculate the concentrations of Ch. 16 - Calculate the pH at 25°C of a 0.25 − M aqueous...Ch. 16 - 16.89 Calculate the pH at of a aqueous solution...Ch. 16 - The first and second ionization constants of a...Ch. 16 - Prob. 91QPCh. 16 - Prob. 92QPCh. 16 - Prob. 93QPCh. 16 - Prob. 94QPCh. 16 - Prob. 95QPCh. 16 - Prob. 96QPCh. 16 - Prob. 97QPCh. 16 - Define salt hydrolysis. Categorize salts according...Ch. 16 - 16.99 Explain why small, highly charged metal ions...Ch. 16 - Al 3+ is not a Brønsted acid, but Al( H 2 O ) 6 3+...Ch. 16 - Specify which of the following salts will undergo...Ch. 16 - Prob. 102QPCh. 16 - Calculate the pH of a 0 .42 M NH 4 Cl solution . (...Ch. 16 - Prob. 104QPCh. 16 - Prob. 105QPCh. 16 - Prob. 106QPCh. 16 - 16.107 Predict whether the following solutions are...Ch. 16 - A certain salt, MX (containing the M + and X -...Ch. 16 - Prob. 109QPCh. 16 - Predict whether a solution containing the salt K 2...Ch. 16 - Prob. 111QPCh. 16 - Prob. 112QPCh. 16 - Prob. 113QPCh. 16 - Prob. 114QPCh. 16 - Prob. 115QPCh. 16 - Prob. 116QPCh. 16 - Prob. 117QPCh. 16 - Prob. 118QPCh. 16 - Prob. 119QPCh. 16 - Prob. 120QPCh. 16 - Prob. 121QPCh. 16 - Prob. 122QPCh. 16 - Prob. 123QPCh. 16 - Prob. 124QPCh. 16 - Identity the Lewis acid and the Lewis base in the...Ch. 16 - Predict the direction that predominates in this...Ch. 16 - Prob. 127APCh. 16 - Prob. 128APCh. 16 - Calculate the pH and percent ionization of a 0 .88...Ch. 16 - 16.130 Calculate the pH of a 0.20 M ammonium...Ch. 16 - Prob. 131APCh. 16 - Prob. 132APCh. 16 - 16.133 Like water, liquid ammonia undergoes...Ch. 16 - Prob. 134APCh. 16 - A solution contains a weak monoprotic acid HA and...Ch. 16 - Prob. 136APCh. 16 - Prob. 137APCh. 16 - Prob. 138APCh. 16 - Prob. 139APCh. 16 - A 10.0-g sample of white phosphorus was burned in...Ch. 16 - Prob. 141APCh. 16 - Prob. 142APCh. 16 - Prob. 143APCh. 16 - Prob. 144APCh. 16 - 16.145 Give an example of (a) a weak acid that...Ch. 16 - Prob. 146APCh. 16 - Prob. 147APCh. 16 - Prob. 148APCh. 16 - When chlorine reacts with water, the resulting...Ch. 16 - Prob. 150APCh. 16 - Calculate the pH of a 2 .00 M NH 4 CN solution.Ch. 16 - Calculate the concentrations of all species in a 0...Ch. 16 - Prob. 153APCh. 16 - 16.154 Calculate the concentrations of all the...Ch. 16 - Prob. 155APCh. 16 - Calculate the pH of a solution that is 1.00 M HCN...Ch. 16 - How many grams of NaCN would you need to dissolve...Ch. 16 - A solution of formic acid ( HCOOH ) has a pH of...Ch. 16 - Calculate the pH of a 1-L solution containing...Ch. 16 - 16.160 A 1.87-g sample of Mg reacts with 80.0 mL...Ch. 16 - Prob. 161APCh. 16 - Prob. 162APCh. 16 - A 0.400 M formic acid ( HCOOH ) solution freezes...Ch. 16 - Prob. 164APCh. 16 - Prob. 165APCh. 16 - Prob. 166APCh. 16 - 16.167 Both the amide ion and the nitride ion ...Ch. 16 - Determine whether each of the following statements...Ch. 16 - Prob. 169APCh. 16 - Prob. 170APCh. 16 - Prob. 171APCh. 16 - 16.172 A typical reaction between an antacid and...Ch. 16 - Prob. 173APCh. 16 - 16.174 Hemoglobin is a blood protein that is...Ch. 16 - Tooth enamel is largely hydroxyapatite [ Ca 3 ( PO...Ch. 16 - Prob. 176APCh. 16 - Prob. 177APCh. 16 - About half of the hydrochloric acid produced...Ch. 16 - Prob. 179APCh. 16 - Prob. 180APCh. 16 - Prob. 181APCh. 16 - (a) Use VSEPR to predict the geometry of the...Ch. 16 - The following questions are not based on a...Ch. 16 - The following questions are not based on a...Ch. 16 - The following questions are not based on a...Ch. 16 - The following questions are not based on a...
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Chemistry: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
Text book image
Chemistry by OpenStax (2015-05-04)
Chemistry
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:OpenStax
Text book image
General, Organic, and Biological Chemistry
Chemistry
ISBN:9781285853918
Author:H. Stephen Stoker
Publisher:Cengage Learning
Text book image
Chemistry: An Atoms First Approach
Chemistry
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Cengage Learning
General Chemistry | Acids & Bases; Author: Ninja Nerd;https://www.youtube.com/watch?v=AOr_5tbgfQ0;License: Standard YouTube License, CC-BY