2. The analysis of 1.00 g sample of phosphorus oxide, with a molar mass of about 284 g/mol, was found to contain 0.44 g of phosphorus and 0.56 g of oxygen. Calculate the empirical formula and the molecular formula for this phosphorus oxide. (Show your calculations).

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**Sample Problem Analysis: Phosphorus Oxide**

2. The analysis of a 1.00 g sample of phosphorus oxide, with a molar mass of about 284 g/mol, was found to contain 0.44 g of phosphorus and 0.56 g of oxygen. Calculate the empirical formula and the molecular formula for this phosphorus oxide. *(Show your calculations.)* 

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**Explanation:**

This problem involves determining both the empirical and molecular formulas of a compound based on its composition. The information provided includes the total mass of the sample, the mass of each element within the sample, and the molar mass of the compound.

1. **Empirical Formula Calculation:**

   - **Mass of Phosphorus:** 0.44 g
   - **Mass of Oxygen:** 0.56 g

   Convert the mass of each element to moles:
   - Moles of Phosphorus = 0.44 g / (atomic mass of phosphorus, approximately 30.97 g/mol)
   - Moles of Oxygen = 0.56 g / (atomic mass of oxygen, approximately 16.00 g/mol)

   Determine the smallest whole number ratio of moles by dividing each by the smallest number of moles calculated.

2. **Molecular Formula Calculation:**

   - Use the empirical formula mass to determine how many empirical units are in the molecular formula.
   - Divide the molar mass (284 g/mol) by the empirical formula mass to find the multiplication factor.

This problem emphasizes stoichiometry and the relationship between atomic masses, molecular mass, and the composition of compounds.
Transcribed Image Text:**Sample Problem Analysis: Phosphorus Oxide** 2. The analysis of a 1.00 g sample of phosphorus oxide, with a molar mass of about 284 g/mol, was found to contain 0.44 g of phosphorus and 0.56 g of oxygen. Calculate the empirical formula and the molecular formula for this phosphorus oxide. *(Show your calculations.)* --- **Explanation:** This problem involves determining both the empirical and molecular formulas of a compound based on its composition. The information provided includes the total mass of the sample, the mass of each element within the sample, and the molar mass of the compound. 1. **Empirical Formula Calculation:** - **Mass of Phosphorus:** 0.44 g - **Mass of Oxygen:** 0.56 g Convert the mass of each element to moles: - Moles of Phosphorus = 0.44 g / (atomic mass of phosphorus, approximately 30.97 g/mol) - Moles of Oxygen = 0.56 g / (atomic mass of oxygen, approximately 16.00 g/mol) Determine the smallest whole number ratio of moles by dividing each by the smallest number of moles calculated. 2. **Molecular Formula Calculation:** - Use the empirical formula mass to determine how many empirical units are in the molecular formula. - Divide the molar mass (284 g/mol) by the empirical formula mass to find the multiplication factor. This problem emphasizes stoichiometry and the relationship between atomic masses, molecular mass, and the composition of compounds.
2. The analysis of 1.00 g sample of phosphorus oxide, with a molar mass of about 284 g/mol, was found to contain 0.44 g of phosphorus and 0.56 g of oxygen. Calculate the empirical formula and the molecular formula for this phosphorus oxide. (Show your calculations).
Transcribed Image Text:2. The analysis of 1.00 g sample of phosphorus oxide, with a molar mass of about 284 g/mol, was found to contain 0.44 g of phosphorus and 0.56 g of oxygen. Calculate the empirical formula and the molecular formula for this phosphorus oxide. (Show your calculations).
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