PROBLEM-SOLVING EXAMPLE 3-6 Percent Composition of Hydrated Salt Epsom salt is MgSO4-7 H2O. (a) What is the percent by mass of water in Epsom salt? (b) What are the percentages of each element in Epsom salt? Strategy and Explanation a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of the atoms in the chemical formula: [1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S x (32.07 g S/mol S)] + [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)] + [7 mol O x (15.9994 g O/mol O)] = 246.49 g/mol Epsom salt %3D Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is. 7 mol H,O x (18.012 g H,O/mol H,O) = 126.08 g H,O %3D 126.08 g mol Epsom salt 246.49 g/mol Epsom salt water per % Н.О x 100% 51.15% H,О D. We calculate the percentage of magnesium from the ratio of the mass of magnesium in 1 mol Epsom salt to the mass of Epsom salt in 1 mol: % Mg mass of Mg in 1 mol Epsom salt mass of Epsom salt in 1 mol 24.31 g Mg 246.49 g/mol Epsom salt x 100% 9.862% Mg
PROBLEM-SOLVING EXAMPLE 3-6 Percent Composition of Hydrated Salt Epsom salt is MgSO4-7 H2O. (a) What is the percent by mass of water in Epsom salt? (b) What are the percentages of each element in Epsom salt? Strategy and Explanation a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of the atoms in the chemical formula: [1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S x (32.07 g S/mol S)] + [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)] + [7 mol O x (15.9994 g O/mol O)] = 246.49 g/mol Epsom salt %3D Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is. 7 mol H,O x (18.012 g H,O/mol H,O) = 126.08 g H,O %3D 126.08 g mol Epsom salt 246.49 g/mol Epsom salt water per % Н.О x 100% 51.15% H,О D. We calculate the percentage of magnesium from the ratio of the mass of magnesium in 1 mol Epsom salt to the mass of Epsom salt in 1 mol: % Mg mass of Mg in 1 mol Epsom salt mass of Epsom salt in 1 mol 24.31 g Mg 246.49 g/mol Epsom salt x 100% 9.862% Mg
Introductory Chemistry: A Foundation
9th Edition
ISBN:9781337399425
Author:Steven S. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Donald J. DeCoste
Chapter8: Chemical Composition
Section: Chapter Questions
Problem 128CP: itamin B12 , cyancobalamin, is essential for human nutrition. Its molecular formula is...
Related questions
Question
![PROBLEM-SOLVING EXAMPLE 3-6 Percent Composition
of Hydrated Salt
Epsom salt is MgSO4 7 H,O. (a) What is the percent by mass of water in Epsom salt?
(b) What are the percentages of each element in Epsom salt?
Strategy and Explanation
a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of
the atoms in the chemical formula:
[1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S × (32.07 g S/mol S)]
+ [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)]
+ [7 mol O x (15.9994 g O/mol O)] = 246.49 g/mol Epsom salt
%3D
Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is,
7 mol H,O x (18.012 g H,O/mol H,O) = 126.08 g H,0
126.08 g water per mol Epsom salt
% H,O
x 100% = 51.15% H,0
246.49 g/mol Epsom salt
D. We calculate the percentage of magnesium from the ratio of the mass of magnesium
in 1 mol Epsom salt to the mass of Epsom salt in 1 mol:
% Mg
mass of Mg in 1 mol Epsom salt
mass of Epsom salt in 1 mol
24.31 g Mg
246.49 g/mol Epsom salt
× 100%
9.862% Mg
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8dfbb40-b5e7-4ef0-a3a2-010b8fe36fa8%2F56499297-6993-4aa9-877d-9d04a0177498%2F1vnzd0s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM-SOLVING EXAMPLE 3-6 Percent Composition
of Hydrated Salt
Epsom salt is MgSO4 7 H,O. (a) What is the percent by mass of water in Epsom salt?
(b) What are the percentages of each element in Epsom salt?
Strategy and Explanation
a. We first find the molar mass of Epsom salt, which is the sum of the molar masses of
the atoms in the chemical formula:
[1 mol Mg x (24.31 g Mg/mol Mg)] + [1 mol S × (32.07 g S/mol S)]
+ [4 mol O x (15.9994 g O/mol O)] + [14 mol H x (1.0079 g H/mol H)]
+ [7 mol O x (15.9994 g O/mol O)] = 246.49 g/mol Epsom salt
%3D
Because 1 mol Epsom salt contains 7 mol H,O, the mass of water in 1 mol Epsom salt is,
7 mol H,O x (18.012 g H,O/mol H,O) = 126.08 g H,0
126.08 g water per mol Epsom salt
% H,O
x 100% = 51.15% H,0
246.49 g/mol Epsom salt
D. We calculate the percentage of magnesium from the ratio of the mass of magnesium
in 1 mol Epsom salt to the mass of Epsom salt in 1 mol:
% Mg
mass of Mg in 1 mol Epsom salt
mass of Epsom salt in 1 mol
24.31 g Mg
246.49 g/mol Epsom salt
× 100%
9.862% Mg
%3D
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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
![Introductory Chemistry: A Foundation](https://www.bartleby.com/isbn_cover_images/9781337399425/9781337399425_smallCoverImage.gif)
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Introduction to General, Organic and Biochemistry](https://www.bartleby.com/isbn_cover_images/9781285869759/9781285869759_smallCoverImage.gif)
Introduction to General, Organic and Biochemistry
Chemistry
ISBN:
9781285869759
Author:
Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:
Cengage Learning
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Introductory Chemistry: A Foundation](https://www.bartleby.com/isbn_cover_images/9781337399425/9781337399425_smallCoverImage.gif)
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Introduction to General, Organic and Biochemistry](https://www.bartleby.com/isbn_cover_images/9781285869759/9781285869759_smallCoverImage.gif)
Introduction to General, Organic and Biochemistry
Chemistry
ISBN:
9781285869759
Author:
Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:
Cengage Learning
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Chemistry: Matter and Change
Chemistry
ISBN:
9780078746376
Author:
Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:
Glencoe/McGraw-Hill School Pub Co