The maximum amount of magnesium carbonate that will dissolve in a 0.261 M potassium carbonate solution is _____ M. (Ksp = 4.0 x 10-5)

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
icon
Concept explainers
Question

The maximum amount of magnesium carbonate that will dissolve in a 0.261 M potassium carbonate solution is _____ M. (Ksp = 4.0 x 10-5)

The attached photo is an example of how to solve the problem

The maximum amount of silver carbonate that will dissolve in a 0.125 M ammonium carbonate
solution is
x M.
Incorrect
(NH4)2CO3 is a soluble salt, Ag,CO3 is not.
The solubility of Ag2CO3 in pure water is 1.3×10-4 M. The amount of silver carbonate that can
dissolve in a solution of ammonium carbonate is less than in plain water, because there is already
carbonate ion present in the solution. This is known as the "Common Ion Effect".
Initial [CO3?-] = 0.125 M from the (NH4)2CO3 solution.
Step 1: Set up the equilibrium using the ICE method
Let 's'= number of moles of Ag2CO3 (s) per liter that dissolves.
Ag2CO3 (s) = 2Ag+ (aq) +
Co32 (aq)
Initial
some
0.125 M
Change
Equilibrium
+ 2s
+ s
some
+ 2s
0.125 +s
Setp 21 Substitute the equilibrium values into the Ksp expression
Previous
Next
Transcribed Image Text:The maximum amount of silver carbonate that will dissolve in a 0.125 M ammonium carbonate solution is x M. Incorrect (NH4)2CO3 is a soluble salt, Ag,CO3 is not. The solubility of Ag2CO3 in pure water is 1.3×10-4 M. The amount of silver carbonate that can dissolve in a solution of ammonium carbonate is less than in plain water, because there is already carbonate ion present in the solution. This is known as the "Common Ion Effect". Initial [CO3?-] = 0.125 M from the (NH4)2CO3 solution. Step 1: Set up the equilibrium using the ICE method Let 's'= number of moles of Ag2CO3 (s) per liter that dissolves. Ag2CO3 (s) = 2Ag+ (aq) + Co32 (aq) Initial some 0.125 M Change Equilibrium + 2s + s some + 2s 0.125 +s Setp 21 Substitute the equilibrium values into the Ksp expression Previous Next
Setp 2: Substitute the equilibrium values into the Ksp expression
Ksp =[Ag*]2 [CO,²] =(2s)²(0.125 + s) = 8.1×10-12 (from the table)
%3D
%3D
Step 3: Assume that s is small relative to 0.125 M, so that the approximation 0.125 + s. 0.125 can
be made. This is reasonable because the solubility is low without the common ion and it will be even
lower in the presense of added CO3²-. Then:
Ksp = (2s)2(0.125) = 8.1×10-12
%3D
Step 4: Solve for s
8.1x10 12
(1/2)
= (1/2)
= 4.0×10-6 M
(0.125)
Step 5: Check the approximation:
0.125 +s = 0.125 + (4.0×10 6)
0.125
0.125
OK
%3D
Transcribed Image Text:Setp 2: Substitute the equilibrium values into the Ksp expression Ksp =[Ag*]2 [CO,²] =(2s)²(0.125 + s) = 8.1×10-12 (from the table) %3D %3D Step 3: Assume that s is small relative to 0.125 M, so that the approximation 0.125 + s. 0.125 can be made. This is reasonable because the solubility is low without the common ion and it will be even lower in the presense of added CO3²-. Then: Ksp = (2s)2(0.125) = 8.1×10-12 %3D Step 4: Solve for s 8.1x10 12 (1/2) = (1/2) = 4.0×10-6 M (0.125) Step 5: Check the approximation: 0.125 +s = 0.125 + (4.0×10 6) 0.125 0.125 OK %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Ionic Equilibrium
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
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY