Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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### Partial Pressure Calculation in Gas Mixtures

**Problem Statement:**
A mixture of 0.220 moles CO, 0.350 moles F₂, and 0.640 moles Ne has a total pressure of 2.95 atm. What is the partial pressure of CO?

**Multiple Choice Answers:**
- 0.649 atm
- 0.955 atm
- 0.536 atm
- 1.54 atm
- 1.86 atm

### Explanation:

To determine the partial pressure of CO in the mixture, one can utilize Dalton's Law of Partial Pressures, which states that the total pressure of a gas mixture is the sum of the partial pressures of each individual gas in the mixture. The partial pressure of each gas is calculated as follows:

\[ P_i = \chi_i \times P_{\text{total}} \]

where:
- \( P_i \) is the partial pressure of the gas,
- \( \chi_i \) is the mole fraction of the gas,
- \( P_{\text{total}} \) is the total pressure of the mixture.

First, calculate the total moles of the gas mixture:

\[ \text{Total moles} = 0.220 + 0.350 + 0.640 = 1.21 \text{ moles} \]

Next, calculate the mole fraction of CO:

\[ \chi_{\text{CO}} = \frac{0.220}{1.21} \approx 0.182 \]

Finally, use the mole fraction to find the partial pressure of CO:

\[ P_{\text{CO}} = 0.182 \times 2.95 \approx 0.537 \text{ atm} \]

Thus, the partial pressure of CO is closest to:

\[ \boxed{0.536 \text{ atm}} \]

### Conclusion:
The partial pressure of CO in the given gas mixture is \(0.536 \) atm. The correct answer from the given choices is therefore 0.536 atm.
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Transcribed Image Text:### Partial Pressure Calculation in Gas Mixtures **Problem Statement:** A mixture of 0.220 moles CO, 0.350 moles F₂, and 0.640 moles Ne has a total pressure of 2.95 atm. What is the partial pressure of CO? **Multiple Choice Answers:** - 0.649 atm - 0.955 atm - 0.536 atm - 1.54 atm - 1.86 atm ### Explanation: To determine the partial pressure of CO in the mixture, one can utilize Dalton's Law of Partial Pressures, which states that the total pressure of a gas mixture is the sum of the partial pressures of each individual gas in the mixture. The partial pressure of each gas is calculated as follows: \[ P_i = \chi_i \times P_{\text{total}} \] where: - \( P_i \) is the partial pressure of the gas, - \( \chi_i \) is the mole fraction of the gas, - \( P_{\text{total}} \) is the total pressure of the mixture. First, calculate the total moles of the gas mixture: \[ \text{Total moles} = 0.220 + 0.350 + 0.640 = 1.21 \text{ moles} \] Next, calculate the mole fraction of CO: \[ \chi_{\text{CO}} = \frac{0.220}{1.21} \approx 0.182 \] Finally, use the mole fraction to find the partial pressure of CO: \[ P_{\text{CO}} = 0.182 \times 2.95 \approx 0.537 \text{ atm} \] Thus, the partial pressure of CO is closest to: \[ \boxed{0.536 \text{ atm}} \] ### Conclusion: The partial pressure of CO in the given gas mixture is \(0.536 \) atm. The correct answer from the given choices is therefore 0.536 atm.
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