Chapter 6: Problem 88
A compound containing selenium and fluorine is decomposed in the laboratory and produces 2.231 g of selenium and 3.221 g of fluorine. Calculate the empirical formula of the compound.
Short Answer
Expert verified
The empirical formula of the compound is SeF2.
Step by step solution
01
Find molar masses
Calculate the molar masses of selenium (Se) and fluorine (F) using the periodic table. Selenium has a molar mass of approximately 78.96 g/mol and fluorine has a molar mass of approximately 19.00 g/mol.
02
Calculate moles of each element
Divide the mass of each element by its molar mass to find the number of moles. For selenium: moles of Se = 2.231 g / 78.96 g/mol. For fluorine: moles of F = 3.221 g / 19.00 g/mol.
03
Calculate the mole ratio
Determine the simplest whole number ratio of moles of each element by dividing the number of moles of each by the smallest number of moles calculated in step 2.
04
Write the empirical formula
Using the whole number mole ratios for Se and F, write the empirical formula of the compound. If any of the ratios are not whole numbers, multiply all ratios by the smallest number to obtain whole numbers.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chemical Compound Composition
Understanding the chemical compound composition is crucial when determining an empirical formula. Essentially, a compound is made up of different elements joined together in fixed proportions. For instance, in the exercise provided, selenium and fluorine combine to form a compound. The empirical formula represents the simplest whole-number ratio of atoms of each element in the compound. It is determined through experimental data, where the masses of the individual elements are measured upon the compound's decomposition.
To start, the weights of selenium and fluorine obtained from the experiment, 2.231 g and 3.221 g respectively, are our key to unlock the composition of the compound. These figures tell us how the atoms of selenium and fluorine are apportioned by mass within the original compound, setting the stage for further calculations to determine their ratio by number of atoms.
To start, the weights of selenium and fluorine obtained from the experiment, 2.231 g and 3.221 g respectively, are our key to unlock the composition of the compound. These figures tell us how the atoms of selenium and fluorine are apportioned by mass within the original compound, setting the stage for further calculations to determine their ratio by number of atoms.
Molar Mass
The molar mass of an element is the weight in grams of 1 mole of that element. Think of it as a conversion factor that helps us switch from grams to moles, which are more convenient units when dealing with atoms and molecules. It is essential in the calculation of an empirical formula because it allows for comparison of masses of different elements on a mole-to-mole basis, irrespective of their individual atomic masses.
In our exercise, the molar mass of selenium (Se) is given as 78.96 g/mol, and that of fluorine (F) as 19.00 g/mol. These values are derived from the periodic table, which lists the average mass of one mole of atoms for each element. Knowing the molar masses, our next step is to convert the masses of each element into moles, thus setting a common ground for their comparison.
In our exercise, the molar mass of selenium (Se) is given as 78.96 g/mol, and that of fluorine (F) as 19.00 g/mol. These values are derived from the periodic table, which lists the average mass of one mole of atoms for each element. Knowing the molar masses, our next step is to convert the masses of each element into moles, thus setting a common ground for their comparison.
Moles to Grams Calculation
Moles to grams calculation is a fundamental concept in chemistry that involves converting the mass of an element or compound to the number of moles. This conversion makes use of the molar mass of the substance as the conversion factor. The formula is straightforward: moles = mass in grams / molar mass in g/mol.
Returning to the provided exercise, understanding this conversion is the basis for finding the empirical formula of the compound. With the masses given, we calculate the number of moles of selenium and fluorine by dividing each mass by its respective molar mass. For selenium, we have \( \frac{2.231 g}{78.96 g/mol} \) moles, and for fluorine, \( \frac{3.221 g}{19.00 g/mol} \) moles. These calculations will directly lead us to the ratio of atoms in the compound.
Returning to the provided exercise, understanding this conversion is the basis for finding the empirical formula of the compound. With the masses given, we calculate the number of moles of selenium and fluorine by dividing each mass by its respective molar mass. For selenium, we have \( \frac{2.231 g}{78.96 g/mol} \) moles, and for fluorine, \( \frac{3.221 g}{19.00 g/mol} \) moles. These calculations will directly lead us to the ratio of atoms in the compound.
Stoichiometry
Stoichiometry is the section of chemistry that involves the quantitative relationships between the reactants and products in a chemical reaction. When applied to empirical formula determination, stoichiometry involves using the mole ratios of the different elements to find out how they combine to form a compound. It's like a recipe that specifies the exact proportion of ingredients needed.
In context, once we have the number of moles for selenium and fluorine, stoichiometry tells us how these moles, or 'parts', combine. Important to note, stoichiometry does not care about the actual masses of the elements; it solely focuses on the mole ratios, which reflect the number of atoms, ultimately leading us to the empirical formula.
In context, once we have the number of moles for selenium and fluorine, stoichiometry tells us how these moles, or 'parts', combine. Important to note, stoichiometry does not care about the actual masses of the elements; it solely focuses on the mole ratios, which reflect the number of atoms, ultimately leading us to the empirical formula.
Mole Ratio
Mole ratio is the ratio of moles of one substance to the moles of another substance in a balanced chemical equation. However, in empirical formula calculations, we're considering the ratio of moles in the actual compound being analyzed. After converting the mass of each element to moles, finding this ratio involves dividing the moles of each element by the smallest number of moles calculated.
In our example, after calculating the number of moles, we compare the moles of selenium to the moles of fluorine by dividing by the smaller value. This provides us with the simplest whole number ratio of atoms of each element in the compound. If necessary, we multiply the obtained ratios by a common factor to ensure that we have whole numbers, which are then used to write the empirical formula.
In our example, after calculating the number of moles, we compare the moles of selenium to the moles of fluorine by dividing by the smaller value. This provides us with the simplest whole number ratio of atoms of each element in the compound. If necessary, we multiply the obtained ratios by a common factor to ensure that we have whole numbers, which are then used to write the empirical formula.