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Calculate the mass in grams (3 sig. figs.) of 3.10x1023 molecules of water.

Calculate the mass in grams (3 sig. figs.) of 3.10x1023 molecules of water.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Transcript for Educational Website:** **Title: Calculating Mass from Molecules** **Problem Statement:** Calculate the mass in grams (3 significant figures) of \(3.10 \times 10^{23}\) molecules of water. --- **Explanation:** To solve this problem, you need to use the concept of moles and molecular mass. The steps are as follows: 1. **Understand Avogadro's Number:** - Avogadro's number (\(6.022 \times 10^{23}\)) is the number of molecules in one mole of a substance. 2. **Calculate the Moles of Water:** - Determine the number of moles in \(3.10 \times 10^{23}\) molecules. - Use the ratio: \(\text{Moles of Water} = \frac{3.10 \times 10^{23}}{6.022 \times 10^{23}}\). 3. **Find the Molar Mass of Water:** - Water (\(H_2O\)) has a molar mass of about 18.015 g/mol. 4. **Calculate the Mass in Grams:** - Multiply the number of moles by the molar mass of water to get the mass in grams. 5. **Round to 3 Significant Figures:** By following these steps, you will be able to find the mass in grams of the given number of water molecules.
Transcribed Image Text:**Transcript for Educational Website:** **Title: Calculating Mass from Molecules** **Problem Statement:** Calculate the mass in grams (3 significant figures) of \(3.10 \times 10^{23}\) molecules of water. --- **Explanation:** To solve this problem, you need to use the concept of moles and molecular mass. The steps are as follows: 1. **Understand Avogadro's Number:** - Avogadro's number (\(6.022 \times 10^{23}\)) is the number of molecules in one mole of a substance. 2. **Calculate the Moles of Water:** - Determine the number of moles in \(3.10 \times 10^{23}\) molecules. - Use the ratio: \(\text{Moles of Water} = \frac{3.10 \times 10^{23}}{6.022 \times 10^{23}}\). 3. **Find the Molar Mass of Water:** - Water (\(H_2O\)) has a molar mass of about 18.015 g/mol. 4. **Calculate the Mass in Grams:** - Multiply the number of moles by the molar mass of water to get the mass in grams. 5. **Round to 3 Significant Figures:** By following these steps, you will be able to find the mass in grams of the given number of water molecules.
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