Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To determine the empirical formula of the lead oxide formed, follow these steps:
1. Calculate the mass of oxygen that reacted with the lead:
- The mass of the product is given as 1.154 grams.
- The mass of lead is given as 1.000 grams.
- Therefore, the mass of oxygen can be determined by subtracting the mass of lead from the mass of the product.
[tex]\[ \text{Mass of oxygen} = \text{Mass of product} - \text{Mass of lead} = 1.154 \, \text{g} - 1.000 \, \text{g} = 0.154 \, \text{g} \][/tex]
2. Calculate the moles of lead (Pb) in the sample:
- The molar mass of lead (Pb) is 207.2 g/mol.
- Using the given mass of lead, convert it to moles:
[tex]\[ \text{Moles of lead} = \frac{\text{Mass of lead}}{\text{Molar mass of lead}} = \frac{1.000 \, \text{g}}{207.2 \, \text{g/mol}} \approx 0.00483 \, \text{moles} \][/tex]
3. Calculate the moles of oxygen (O) in the sample:
- The molar mass of oxygen (O) is 16.0 g/mol.
- Using the calculated mass of oxygen, convert it to moles:
[tex]\[ \text{Moles of oxygen} = \frac{\text{Mass of oxygen}}{\text{Molar mass of oxygen}} = \frac{0.154 \, \text{g}}{16.0 \, \text{g/mol}} \approx 0.00962 \, \text{moles} \][/tex]
4. Determine the simplest whole-number ratio of moles of lead to moles of oxygen:
- Calculate the ratio of moles of lead to moles of oxygen:
[tex]\[ \text{Ratio of lead} = \frac{\text{Moles of lead}}{\text{Moles of lead}} = \frac{0.00483}{0.00483} = 1 \][/tex]
[tex]\[ \text{Ratio of oxygen} = \frac{\text{Moles of oxygen}}{\text{Moles of lead}} = \frac{0.00962}{0.00483} \approx 2 \][/tex]
5. Empirical formula determination:
- The ratio of lead to oxygen is approximately 1:2.
- Thus, the simplest whole-number ratio is 1:2.
- Therefore, the empirical formula for the lead oxide is [tex]\( \text{PbO}_2 \)[/tex].
So, the empirical formula of the lead oxide is [tex]\( \mathbf{PbO_2} \)[/tex].
1. Calculate the mass of oxygen that reacted with the lead:
- The mass of the product is given as 1.154 grams.
- The mass of lead is given as 1.000 grams.
- Therefore, the mass of oxygen can be determined by subtracting the mass of lead from the mass of the product.
[tex]\[ \text{Mass of oxygen} = \text{Mass of product} - \text{Mass of lead} = 1.154 \, \text{g} - 1.000 \, \text{g} = 0.154 \, \text{g} \][/tex]
2. Calculate the moles of lead (Pb) in the sample:
- The molar mass of lead (Pb) is 207.2 g/mol.
- Using the given mass of lead, convert it to moles:
[tex]\[ \text{Moles of lead} = \frac{\text{Mass of lead}}{\text{Molar mass of lead}} = \frac{1.000 \, \text{g}}{207.2 \, \text{g/mol}} \approx 0.00483 \, \text{moles} \][/tex]
3. Calculate the moles of oxygen (O) in the sample:
- The molar mass of oxygen (O) is 16.0 g/mol.
- Using the calculated mass of oxygen, convert it to moles:
[tex]\[ \text{Moles of oxygen} = \frac{\text{Mass of oxygen}}{\text{Molar mass of oxygen}} = \frac{0.154 \, \text{g}}{16.0 \, \text{g/mol}} \approx 0.00962 \, \text{moles} \][/tex]
4. Determine the simplest whole-number ratio of moles of lead to moles of oxygen:
- Calculate the ratio of moles of lead to moles of oxygen:
[tex]\[ \text{Ratio of lead} = \frac{\text{Moles of lead}}{\text{Moles of lead}} = \frac{0.00483}{0.00483} = 1 \][/tex]
[tex]\[ \text{Ratio of oxygen} = \frac{\text{Moles of oxygen}}{\text{Moles of lead}} = \frac{0.00962}{0.00483} \approx 2 \][/tex]
5. Empirical formula determination:
- The ratio of lead to oxygen is approximately 1:2.
- Thus, the simplest whole-number ratio is 1:2.
- Therefore, the empirical formula for the lead oxide is [tex]\( \text{PbO}_2 \)[/tex].
So, the empirical formula of the lead oxide is [tex]\( \mathbf{PbO_2} \)[/tex].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.