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A balloon contains 0.0475 mol He, 0.0252 mol H2, 0.771 mol N2, and 0.270 mol O2. The total pressure in the balloon is 103 kPa. What is the partial pressure of He?

A balloon contains 0.0475 mol He, 0.0252 mol H2, 0.771 mol N2, and 0.270 mol O2. The total pressure in the balloon is 103 kPa. What is the partial pressure of He?

Chemistry
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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**Question:** A balloon contains 0.0475 mol He, 0.0252 mol H₂, 0.771 mol N₂, and 0.270 mol O₂. The total pressure in the balloon is 103 kPa. What is the partial pressure of He? --- **Explanation:** To find the partial pressure of He (Helium), use 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 component in the mixture. The partial pressure of a gas is proportional to its mole fraction in the mixture. 1. **Calculate the total number of moles in the mixture:** - Total moles = Moles of He + Moles of H₂ + Moles of N₂ + Moles of O₂ - Total moles = 0.0475 + 0.0252 + 0.771 + 0.270 = 1.1137 mol 2. **Calculate the mole fraction of He:** - Mole fraction of He = Moles of He / Total Moles - Mole fraction of He = 0.0475 / 1.1137 3. **Calculate the partial pressure of He:** - Partial pressure of He = Mole fraction of He * Total pressure - Substitute the known values to find the partial pressure. This approach will yield the partial pressure of Helium in the balloon.
Transcribed Image Text:**Question:** A balloon contains 0.0475 mol He, 0.0252 mol H₂, 0.771 mol N₂, and 0.270 mol O₂. The total pressure in the balloon is 103 kPa. What is the partial pressure of He? --- **Explanation:** To find the partial pressure of He (Helium), use 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 component in the mixture. The partial pressure of a gas is proportional to its mole fraction in the mixture. 1. **Calculate the total number of moles in the mixture:** - Total moles = Moles of He + Moles of H₂ + Moles of N₂ + Moles of O₂ - Total moles = 0.0475 + 0.0252 + 0.771 + 0.270 = 1.1137 mol 2. **Calculate the mole fraction of He:** - Mole fraction of He = Moles of He / Total Moles - Mole fraction of He = 0.0475 / 1.1137 3. **Calculate the partial pressure of He:** - Partial pressure of He = Mole fraction of He * Total pressure - Substitute the known values to find the partial pressure. This approach will yield the partial pressure of Helium in the balloon.
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