How much C is present in 10.0 g of CO,? mass of C: How much H is present in 4.10 g of H,O? mass of H:

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Determining the Mass of Elements from Chemical Compounds**

When analyzing chemical compounds, it is often useful to determine the mass of specific elements within a given amount of the compound. 

### Example Problems:

1. **How much C is present in 10.0 g of CO₂?**

   To solve this, we will need to use the molar mass of carbon dioxide (CO₂), which comprises one carbon (C) atom and two oxygen (O) atoms. The mass of CO₂ can be calculated as follows:

   - Molar mass of CO₂ = (Mass of C) + 2*(Mass of O)
   - Molar mass of C = 12.01 g/mol
   - Molar mass of O = 16.00 g/mol

   Therefore, 
   - Molar mass of CO₂ = 12.01 + 2*(16.00) = 44.01 g/mol

   We can then find the proportion of carbon in CO₂:

   - Mass fraction of C in CO₂ = Mass of C / Molar mass of CO₂ 
   - Mass fraction of C in CO₂ = 12.01 g / 44.01 g = 0.273

   Multiply this fraction by the given mass of CO₂ to find the mass of C:

   - Mass of C in 10.0 g of CO₂ = 0.273 * 10.0 g = 2.73 g

   **Mass of C:**
   ![Input box for mass of C](inputbox) g

2. **How much H is present in 4.10 g of H₂O?**

   Similarly, we find the molar mass of water (H₂O), which is composed of two hydrogen (H) atoms and one oxygen (O) atom:

   - Molar mass of H₂O = 2*(Mass of H) + (Mass of O)
   - Molar mass of H = 1.01 g/mol
   - Molar mass of O = 16.00 g/mol

   Therefore,
   - Molar mass of H₂O = 2*(1.01) + 16.00 = 18.02 g/mol

   We then find the proportion of hydrogen in H₂O:

   - Mass fraction of H in H₂O = 2*(Mass of H) / Molar
Transcribed Image Text:**Determining the Mass of Elements from Chemical Compounds** When analyzing chemical compounds, it is often useful to determine the mass of specific elements within a given amount of the compound. ### Example Problems: 1. **How much C is present in 10.0 g of CO₂?** To solve this, we will need to use the molar mass of carbon dioxide (CO₂), which comprises one carbon (C) atom and two oxygen (O) atoms. The mass of CO₂ can be calculated as follows: - Molar mass of CO₂ = (Mass of C) + 2*(Mass of O) - Molar mass of C = 12.01 g/mol - Molar mass of O = 16.00 g/mol Therefore, - Molar mass of CO₂ = 12.01 + 2*(16.00) = 44.01 g/mol We can then find the proportion of carbon in CO₂: - Mass fraction of C in CO₂ = Mass of C / Molar mass of CO₂ - Mass fraction of C in CO₂ = 12.01 g / 44.01 g = 0.273 Multiply this fraction by the given mass of CO₂ to find the mass of C: - Mass of C in 10.0 g of CO₂ = 0.273 * 10.0 g = 2.73 g **Mass of C:** ![Input box for mass of C](inputbox) g 2. **How much H is present in 4.10 g of H₂O?** Similarly, we find the molar mass of water (H₂O), which is composed of two hydrogen (H) atoms and one oxygen (O) atom: - Molar mass of H₂O = 2*(Mass of H) + (Mass of O) - Molar mass of H = 1.01 g/mol - Molar mass of O = 16.00 g/mol Therefore, - Molar mass of H₂O = 2*(1.01) + 16.00 = 18.02 g/mol We then find the proportion of hydrogen in H₂O: - Mass fraction of H in H₂O = 2*(Mass of H) / Molar
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