A solution of isobutyl rubbing alcohol (C4H100) contains 40.0 mL of isobutyl alcohol and 60.0 mL of water. The density of isobutyl alcohol is 0.803 g/mL. What is the molarity of the isobutyl alcohol solution?
A solution of isobutyl rubbing alcohol (C4H100) contains 40.0 mL of isobutyl alcohol and 60.0 mL of water. The density of isobutyl alcohol is 0.803 g/mL. What is the molarity of the isobutyl alcohol solution?
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...
Related questions
Question
![### Question 19:
A solution of isobutyl rubbing alcohol (C₄H₁₀O) contains 40.0 mL of isobutyl alcohol and 60.0 mL of water. The density of isobutyl alcohol is 0.803 g/mL. What is the molarity of the isobutyl alcohol solution?
**Solution:**
1. **Determine the mass of isobutyl alcohol:**
\[ \text{Mass} = \text{Volume} \times \text{Density} \]
\[ = 40.0 \, \text{mL} \times 0.803 \, \text{g/mL} \]
\[ = 32.12 \, \text{g} \]
2. **Calculate the number of moles of isobutyl alcohol (C₄H₁₀O):**
\[ \text{Molar mass of } \text{C}_{4}\text{H}_{10}\text{O} = (4 \times 12.01) + (10 \times 1.008) + (1 \times 16.00) \, \text{g/mol} \]
\[ = 48.04 + 10.08 + 16.00 \, \text{g/mol} \]
\[ = 74.12 \, \text{g/mol} \]
\[ \text{Moles} = \frac{\text{Mass}}{\text{Molar Mass}} \]
\[ = \frac{32.12 \, \text{g}}{74.12 \, \text{g/mol}} \]
\[ = 0.433 \, \text{mol} \]
3. **Calculate the total volume of the solution:**
\[ \text{Total Volume} = 40.0 \, \text{mL} + 60.0 \, \text{mL} \]
\[ = 100.0 \, \text{mL} \]
\[ = 0.100 \, \text{L} \]
4. **Calculate the molarity of the isobutyl alcohol solution:**
\[ \text{Molarity} = \frac{\text{Moles of solute}}{\text{Volume of solution in liters}} \]
\[ = \frac{0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22bc251f-eb72-48c5-9bbb-85b42ccd30ca%2F8871670e-78a7-42ad-80af-714cdb64c608%2Frm2k0cr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 19:
A solution of isobutyl rubbing alcohol (C₄H₁₀O) contains 40.0 mL of isobutyl alcohol and 60.0 mL of water. The density of isobutyl alcohol is 0.803 g/mL. What is the molarity of the isobutyl alcohol solution?
**Solution:**
1. **Determine the mass of isobutyl alcohol:**
\[ \text{Mass} = \text{Volume} \times \text{Density} \]
\[ = 40.0 \, \text{mL} \times 0.803 \, \text{g/mL} \]
\[ = 32.12 \, \text{g} \]
2. **Calculate the number of moles of isobutyl alcohol (C₄H₁₀O):**
\[ \text{Molar mass of } \text{C}_{4}\text{H}_{10}\text{O} = (4 \times 12.01) + (10 \times 1.008) + (1 \times 16.00) \, \text{g/mol} \]
\[ = 48.04 + 10.08 + 16.00 \, \text{g/mol} \]
\[ = 74.12 \, \text{g/mol} \]
\[ \text{Moles} = \frac{\text{Mass}}{\text{Molar Mass}} \]
\[ = \frac{32.12 \, \text{g}}{74.12 \, \text{g/mol}} \]
\[ = 0.433 \, \text{mol} \]
3. **Calculate the total volume of the solution:**
\[ \text{Total Volume} = 40.0 \, \text{mL} + 60.0 \, \text{mL} \]
\[ = 100.0 \, \text{mL} \]
\[ = 0.100 \, \text{L} \]
4. **Calculate the molarity of the isobutyl alcohol solution:**
\[ \text{Molarity} = \frac{\text{Moles of solute}}{\text{Volume of solution in liters}} \]
\[ = \frac{0.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps

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

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning

Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY