Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
To determine the empirical formula of the compound in question, we will follow these steps:
1. Determine the number of moles of each element:
- Given percentages:
- Silicon (Si): 46.8%
- Oxygen (O): 53.2%
- Molar masses:
- Silicon (Si): approximately 28.085 g/mol
- Oxygen (O): approximately 15.999 g/mol
- Assume we have 100 grams of the compound. Therefore:
- Mass of Si = 46.8 grams
- Mass of O = 53.2 grams
- Calculate the moles of each element:
[tex]\[ \text{Moles of Si} = \frac{\text{Mass of Si}}{\text{Molar mass of Si}} = \frac{46.8}{28.085} \approx 1.667 \][/tex]
[tex]\[ \text{Moles of O} = \frac{\text{Mass of O}}{\text{Molar mass of O}} = \frac{53.2}{15.999} \approx 3.325 \][/tex]
2. Determine the simplest mole ratio:
- To find the simplest ratio, we divide the moles of each element by the smallest number of moles calculated:
[tex]\[ \text{Ratio of Si} = \frac{1.667}{1.667} = 1 \][/tex]
[tex]\[ \text{Ratio of O} = \frac{3.325}{1.667} \approx 1.995 \approx 2 \][/tex]
3. Write the empirical formula:
- The ratio of Si to O is 1:2.
- Therefore, the empirical formula is [tex]\(SiO_2\)[/tex].
Given the choices:
A. [tex]\(SiO_2\)[/tex]
B. [tex]\(SiO_3\)[/tex]
C. [tex]\(Si_2O_3\)[/tex]
D. [tex]\(Si_2O\)[/tex]
The correct answer is A. [tex]\(SiO_2\)[/tex].
1. Determine the number of moles of each element:
- Given percentages:
- Silicon (Si): 46.8%
- Oxygen (O): 53.2%
- Molar masses:
- Silicon (Si): approximately 28.085 g/mol
- Oxygen (O): approximately 15.999 g/mol
- Assume we have 100 grams of the compound. Therefore:
- Mass of Si = 46.8 grams
- Mass of O = 53.2 grams
- Calculate the moles of each element:
[tex]\[ \text{Moles of Si} = \frac{\text{Mass of Si}}{\text{Molar mass of Si}} = \frac{46.8}{28.085} \approx 1.667 \][/tex]
[tex]\[ \text{Moles of O} = \frac{\text{Mass of O}}{\text{Molar mass of O}} = \frac{53.2}{15.999} \approx 3.325 \][/tex]
2. Determine the simplest mole ratio:
- To find the simplest ratio, we divide the moles of each element by the smallest number of moles calculated:
[tex]\[ \text{Ratio of Si} = \frac{1.667}{1.667} = 1 \][/tex]
[tex]\[ \text{Ratio of O} = \frac{3.325}{1.667} \approx 1.995 \approx 2 \][/tex]
3. Write the empirical formula:
- The ratio of Si to O is 1:2.
- Therefore, the empirical formula is [tex]\(SiO_2\)[/tex].
Given the choices:
A. [tex]\(SiO_2\)[/tex]
B. [tex]\(SiO_3\)[/tex]
C. [tex]\(Si_2O_3\)[/tex]
D. [tex]\(Si_2O\)[/tex]
The correct answer is A. [tex]\(SiO_2\)[/tex].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.