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A comprehensive guide to determining empirical formulas in chemistry. It explains the concept of empirical formulas, outlines the steps involved in their calculation, and illustrates the process with detailed examples. The document also includes practice problems for students to test their understanding.
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The empirical formula of a compound represents the simplest whole number ratio of the elements in that compound.
A real-life example of an empirical formula is glucose (C₆H₁₂O₆), a sugar found in many foods. The molecular formula for glucose is C₆H₁₂O₆, which shows that for every 6 carbon atoms, there are 12 hydrogen atoms and 6 oxygen atoms. However, the empirical formula simplifies this ratio to CH₂O, which shows that for every carbon atom, there are two hydrogen atoms and one oxygen atom in the simplest ratio. So, even though glucose has the molecular formula C₆H₁₂O₆, its empirical formula is CH₂O. A sample of a compound contains 5.30 g of nitrogen (N) and 14.70 g of oxygen (O). What is the empirical formula of the compound? Mass of nitrogen (N) = 5.30 g Mass of oxygen (O) = 14.70 g STEP 1: OBTAIN THE MASS OF EACH ELEMENT STEP 2: CONVERT THE MASS OF EACH ELEMENT TO MOLES
0.378mol of N
Notice that grams (g) were canceled because they appear in both the numerator and the denominator.
STEP 3: DETERMINE THE SIMPLEST MOLE RATIO Now, divide the number of moles of each element by the smallest number of moles (which is 0. mol for nitrogen): 1 × 2 = 2
STEP 4: ROUND TO THE NEAREST WHOLE NUMBER (OR ADJUST) Since 2.43 is close to 2.5, we multiply both ratios by 2 to get whole numbers:
or 5 STEP 5: WRITE THE EMPIRICAL FORMULA The simplest mole ratio is: Oxygen (O) = 5 Nitrogen (N) = 2
of the compound is N₂O₅ EXAMPLE # 2 A compound is found to contain 40.0 % carbon (C), 6.7 % hydrogen ( H ), and 53.3 % oxygen ( O ). Determine the empirical formula of the compound. STEP 1: ASSUME A 100 G SAMPLE If the total mass of the compound is 100 g, the percentage values can be treated as grams:
= 3.33 mol 6.7 g 1.008 g/mol
6.65mol 53.3 g 16.00 g/mol
3.33 mol