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...
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![### Mixture Problem: Alcohol Solution
**Objective**: Determine the quantity of 20% alcohol solution to be added to 40 liters of a 50% alcohol solution to achieve a 30% alcohol solution.
**Question 4**:
- How many liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make a 30% solution?
**Table Overview**:
A table is provided with three columns:
1. **Solution Strength (%)**:
- Lists the percentage concentration of alcohol in the solution.
2. **Liters**:
- Contains the quantity in liters for each solution type.
3. **Total Liters of % Acid**:
- Represents the total volume of alcohol in the solution after blending.
The table is divided into rows, where each row corresponds to a particular solution calculation.
**Work through this problem by setting up an equation**:
- Let \( x \) be the liters of 20% solution. The equation based on alcohol content can be derived from:
\[ 0.2x + 0.5(40) = 0.3(x + 40) \]
### Steps to Solve
1. Calculate the total alcohol in each solution.
2. Use the equation to find the value of \( x \).
3. Fill in the table based on the solution.
This exercise aids in understanding mixture problems and applying percentages in practical scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F305ead19-9cf2-471a-ae81-3c71f5543939%2F47703f5f-f751-46ed-bc1b-ee3c2b63e175%2Froehnso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Mixture Problem: Alcohol Solution
**Objective**: Determine the quantity of 20% alcohol solution to be added to 40 liters of a 50% alcohol solution to achieve a 30% alcohol solution.
**Question 4**:
- How many liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make a 30% solution?
**Table Overview**:
A table is provided with three columns:
1. **Solution Strength (%)**:
- Lists the percentage concentration of alcohol in the solution.
2. **Liters**:
- Contains the quantity in liters for each solution type.
3. **Total Liters of % Acid**:
- Represents the total volume of alcohol in the solution after blending.
The table is divided into rows, where each row corresponds to a particular solution calculation.
**Work through this problem by setting up an equation**:
- Let \( x \) be the liters of 20% solution. The equation based on alcohol content can be derived from:
\[ 0.2x + 0.5(40) = 0.3(x + 40) \]
### Steps to Solve
1. Calculate the total alcohol in each solution.
2. Use the equation to find the value of \( x \).
3. Fill in the table based on the solution.
This exercise aids in understanding mixture problems and applying percentages in practical scenarios.
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