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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![**Problem Statement**
A mixture of two gases with a total pressure of 2.02 atm contains 0.70 atm of Gas A. What is the partial pressure of Gas B in atm?
**Solution Approach**
To find the partial pressure of Gas B, we can use Dalton's Law of Partial Pressures. According to this law, the total pressure of a gas mixture is equal to the sum of the partial pressures of each individual gas.
**Steps:**
1. Total pressure of the mixture = 2.02 atm
2. Partial pressure of Gas A = 0.70 atm
3. Let the partial pressure of Gas B be represented as \( P_B \).
Using Dalton’s Law:
\[ P_{\text{total}} = P_A + P_B \]
Substitute the known values:
\[ 2.02 = 0.70 + P_B \]
Solve for \( P_B \):
\[ P_B = 2.02 - 0.70 = 1.32 \, \text{atm} \]
**Conclusion**
The partial pressure of Gas B in the mixture is 1.32 atm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31f59ff4-c1b6-4bfe-b48e-f376b2b8e1ed%2F123feaf4-3bff-47ba-91c5-b6cadb60f50b%2Ff6qmwwp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
A mixture of two gases with a total pressure of 2.02 atm contains 0.70 atm of Gas A. What is the partial pressure of Gas B in atm?
**Solution Approach**
To find the partial pressure of Gas B, we can use Dalton's Law of Partial Pressures. According to this law, the total pressure of a gas mixture is equal to the sum of the partial pressures of each individual gas.
**Steps:**
1. Total pressure of the mixture = 2.02 atm
2. Partial pressure of Gas A = 0.70 atm
3. Let the partial pressure of Gas B be represented as \( P_B \).
Using Dalton’s Law:
\[ P_{\text{total}} = P_A + P_B \]
Substitute the known values:
\[ 2.02 = 0.70 + P_B \]
Solve for \( P_B \):
\[ P_B = 2.02 - 0.70 = 1.32 \, \text{atm} \]
**Conclusion**
The partial pressure of Gas B in the mixture is 1.32 atm.
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