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How many grams of He are there in a sample of He that contains 5.06×1023 atoms? grams

How many grams of He are there in a sample of He that contains 5.06×1023 atoms? grams

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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**Problem Statement:** How many grams of He are there in a sample of He that contains \(5.06 \times 10^{23}\) atoms? **Solution:** To determine the mass in grams of a helium sample containing \(5.06 \times 10^{23}\) atoms, you need to use the concept of moles and Avogadro's number. **Explanation:** 1. **Molar Mass of Helium (He):** - The molar mass of helium is approximately 4 grams/mole. 2. **Avogadro's Number:** - Avogadro's number is \(6.022 \times 10^{23}\) atoms/mole. 3. **Calculate Moles of Helium:** - First, find the number of moles of helium from the given atoms: \[ \text{Moles of He} = \frac{5.06 \times 10^{23} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} \] 4. **Calculate the Mass of Helium:** - Multiply the number of moles by the molar mass of helium: \[ \text{Mass in grams} = \text{Moles of He} \times 4 \text{ grams/mole} \] 5. **Result:** - Input the calculated mass in grams in the provided box. This process allows you to convert the number of helium atoms into a mass measurement.
Transcribed Image Text:**Problem Statement:** How many grams of He are there in a sample of He that contains \(5.06 \times 10^{23}\) atoms? **Solution:** To determine the mass in grams of a helium sample containing \(5.06 \times 10^{23}\) atoms, you need to use the concept of moles and Avogadro's number. **Explanation:** 1. **Molar Mass of Helium (He):** - The molar mass of helium is approximately 4 grams/mole. 2. **Avogadro's Number:** - Avogadro's number is \(6.022 \times 10^{23}\) atoms/mole. 3. **Calculate Moles of Helium:** - First, find the number of moles of helium from the given atoms: \[ \text{Moles of He} = \frac{5.06 \times 10^{23} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} \] 4. **Calculate the Mass of Helium:** - Multiply the number of moles by the molar mass of helium: \[ \text{Mass in grams} = \text{Moles of He} \times 4 \text{ grams/mole} \] 5. **Result:** - Input the calculated mass in grams in the provided box. This process allows you to convert the number of helium atoms into a mass measurement.
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