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Determining Empirical Formulas in Chemistry: A Step-by-Step Guide with Examples - Prof. Gi, Cheat Sheet of Chemistry

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.

Typology: Cheat Sheet

2023/2024

Available from 12/13/2024

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DETERMINATION OF
EMPIRICAL FORMULA
The empirical formula of a
compound represents the
simplest whole number ratio of
the elements in that compound.
EXAMPLE # 1
A real-life example of an empirical
formula is glucose (C₆H₁₂O₆), a
sugar found in many foods.
The molecular formula for glucose
is CH₁₂O, 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
CHO, 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
• moles of nitrogen:
5.30 g
14.01 g/mol =
/
/
0.378mol of N
• moles of oxygen:
14.70g = 0.919mol of O
16.00 g/mol
/
/
Data
from
periodic
table
Notice that grams (g) were
canceled because they appear in
both the numerator and the
denominator.
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DETERMINATION OF

EMPIRICAL FORMULA

The empirical formula of a compound represents the simplest whole number ratio of the elements in that compound.

EXAMPLE # 1

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

  • moles of nitrogen: 5.30 g 14.01 g/mol

0.378mol of N

  • moles of oxygen: 14.70g = 0.919mol of O 16.00 g/mol

Data

from

periodic

table

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

  • Ratio of nitrogen:
  • Ratio of Oxygen:

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:

  • Ratio of nitrogen
  • Ratio of oxygen

= 2.43 × 2 = 4.

or 5 STEP 5: WRITE THE EMPIRICAL FORMULA The simplest mole ratio is: Oxygen (O) = 5 Nitrogen (N) = 2

Thus, the empirical formula

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:

  • Mass of carbon = 40.0 g
  • Mass of hydrogen = 6.7 g
  • Mass of oxygen = 53.3 g STEP 2: CONVERT THE MASS OF EACH ELEMENT TO MOLES Use the molar masses of each element:
  • Carbon (C):
  • Hydrogen (H):
  • Oxygen (O): 40.0 g 12.01 g/mol

= 3.33 mol 6.7 g 1.008 g/mol

6.65mol 53.3 g 16.00 g/mol

3.33 mol