Molecular and Empirical Forumlas from Percent Composition

Khan Academy
17 Aug 201010:33
EducationalLearning
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TLDRThis educational video script delves into determining the empirical and molecular formulas of eugenol, a compound found in clove oil. It explains the process of calculating the mass of carbon, hydrogen, and oxygen in eugenol using its molar mass and elemental composition percentages. The script guides viewers through converting mass to moles and simplifying the ratio to find the empirical formula, revealing the molecular formula as C10H12O2 and the empirical formula as C5H6O.

Takeaways
  • ๐Ÿงช The molar mass of eugenol is 164.2 grams per mole, which is used as a basis for calculations.
  • ๐Ÿ“Š Eugenol is composed of 73.14% carbon, 7.37% hydrogen, and the remainder is oxygen.
  • ๐Ÿ” The empirical formula represents the simplest ratio of atoms in a molecule.
  • ๐Ÿ“ The molecular formula represents the actual number of atoms in a molecule.
  • ๐Ÿค” Assuming 1 mole of eugenol, its mass is 164.2 grams, which helps in calculating the mass of constituent elements.
  • ๐Ÿ“ˆ By using percentages, the mass of carbon, hydrogen, and oxygen in eugenol can be determined.
  • ๐Ÿ“ The mass of carbon in eugenol is calculated to be 120.1 grams per mole.
  • ๐Ÿ”ข The mass of hydrogen is found to be 12.1 grams per mole in eugenol.
  • โš–๏ธ The mass of oxygen is determined by subtracting the masses of carbon and hydrogen from the total molar mass.
  • ๐ŸŒ The atomic weights (molar masses) of carbon, hydrogen, and oxygen are approximately 12, 1, and 16 grams per mole, respectively.
  • ๐Ÿ”„ By dividing the mass of each element by its atomic weight, the number of moles of each element in eugenol is calculated.
  • ๐Ÿ“‰ The empirical formula of eugenol is simplified by dividing the molar ratio by the greatest common factor, resulting in C5H6O.
Q & A
  • What is the molar mass of eugenol?

    -The molar mass of eugenol is 164.2 grams per mole.

  • What percentage of eugenol is composed of carbon?

    -Eugenol is composed of 73.14% carbon by mass.

  • What percentage of eugenol is composed of hydrogen?

    -Eugenol contains 7.37% hydrogen by mass.

  • What is the mass of carbon in 1 mole of eugenol?

    -The mass of carbon in 1 mole of eugenol is 120.1 grams.

  • What is the mass of hydrogen in 1 mole of eugenol?

    -The mass of hydrogen in 1 mole of eugenol is 12.1 grams.

  • How is the mass of oxygen in eugenol determined?

    -The mass of oxygen in eugenol is determined by subtracting the mass of carbon and hydrogen from the total molar mass of eugenol, which results in 32 grams of oxygen.

  • What is the empirical formula of eugenol?

    -The empirical formula of eugenol is C5H6O, which represents the simplest whole number ratio of atoms in the compound.

  • What is the molecular formula of eugenol?

    -The molecular formula of eugenol is C10H12O2, which represents the actual number of atoms in the molecule.

  • How are the moles of carbon, hydrogen, and oxygen in eugenol calculated?

    -The moles of each element are calculated by dividing the mass of that element in 1 mole of eugenol by its respective atomic or molar mass (12 g/mol for carbon, 1 g/mol for hydrogen, and 16 g/mol for oxygen).

  • What is the significance of the empirical formula in chemistry?

    -The empirical formula represents the simplest whole number ratio of atoms in a compound, which is useful for identifying the composition of a substance.

  • How does the molecular formula of eugenol relate to its empirical formula?

    -The molecular formula of eugenol (C10H12O2) is a multiple of its empirical formula (C5H6O), indicating that the molecular formula shows the actual number of atoms in the molecule, while the empirical formula shows the simplest ratio.

Outlines
00:00
๐Ÿงช Determining the Empirical and Molecular Formulas of Eugenol

This paragraph introduces the process of determining the empirical and molecular formulas for eugenol, a compound with a molar mass of 164.2 grams per mole. It explains the composition of eugenol, which is 73.14% carbon, 7.37% hydrogen, and the remainder being oxygen. The paragraph emphasizes the difference between empirical and molecular formulas, with the former being the simplest ratio of atoms and the latter representing the actual count. It begins the calculation by using the molar mass and composition percentages to find the mass of each element in eugenol, leading to the calculation of moles of carbon, hydrogen, and oxygen present in one mole of eugenol.

05:01
๐Ÿ” Calculating Moles of Elements in Eugenol

This section delves into the specifics of calculating the moles of carbon, hydrogen, and oxygen in eugenol using their respective atomic weights. It provides a refresher on the atomic weights of these elements: carbon at approximately 12 grams per mole, hydrogen at 1 gram per mole, and oxygen at 16 grams per mole. The paragraph guides through the calculation of moles for each element based on the mass found in the previous section, resulting in 10 moles of carbon, 12 moles of hydrogen, and 2 moles of oxygen in one mole of eugenol. It then explains how to derive the molecular formula from these moles and simplifies the ratio to find the empirical formula.

10:04
๐Ÿ“ Simplifying to the Empirical Formula of Eugenol

The final paragraph focuses on simplifying the ratio of atoms obtained from the molecular formula to arrive at the empirical formula. It points out that the numbers of moles of carbon, hydrogen, and oxygen have a common factor of 2, which can be divided to get the simplest form. The result is an empirical formula of C5H6O for eugenol, which represents the simplest whole number ratio of atoms in the compound. The paragraph ensures that the distinction between the molecular and empirical formulas is clear and that the process of simplification is correctly applied.

Mindmap
Keywords
๐Ÿ’กMolar Mass
Molar mass is the mass of one mole of a substance, typically measured in grams per mole (g/mol). It is numerically equivalent to the substance's atomic or molecular weight. In the video, the molar mass of eugenol is given as 164.2 g/mol, which is a crucial starting point for determining the composition of the molecule.
๐Ÿ’กPercent Composition
Percent composition refers to the proportion of each element in a compound, expressed as a percentage of the total mass. The script mentions that eugenol is 73.14% carbon, 7.37% hydrogen, and the remainder is oxygen, which is essential for calculating the empirical and molecular formulas.
๐Ÿ’กEmpirical Formula
The empirical formula represents the simplest whole number ratio of atoms in a compound. The video explains that the empirical formula is derived from the mass percentages of carbon, hydrogen, and oxygen in eugenol, leading to the ratio of 5 carbons, 6 hydrogens, and 1 oxygen.
๐Ÿ’กMolecular Formula
The molecular formula indicates the actual number of atoms of each element in a molecule of a compound. The script demonstrates that the molecular formula for eugenol is C10H12O2, which is derived from the empirical formula by considering the molar mass of eugenol.
๐Ÿ’กCarbon
Carbon is an element with the atomic number 6 and an atomic mass of approximately 12 atomic mass units (amu). In the context of the video, carbon is the most abundant element in eugenol, with a mass of 120.1 grams per mole of eugenol.
๐Ÿ’กHydrogen
Hydrogen is the lightest element with the atomic number 1 and an atomic mass of approximately 1 amu. The video script calculates the mass of hydrogen in eugenol to be 12.1 grams per mole, which corresponds to 12 moles of hydrogen.
๐Ÿ’กOxygen
Oxygen is an element with the atomic number 8 and an atomic mass of approximately 16 amu. The script determines that there are 32 grams of oxygen per mole of eugenol, which equates to 2 moles of oxygen.
๐Ÿ’กSignificant Figures
Significant figures are the digits in a number that carry meaning contributing to its precision. The video emphasizes maintaining four significant figures in calculations, such as 120.1 grams of carbon and 12.1 grams of hydrogen.
๐Ÿ’กAtomic Weight
Atomic weight, or atomic mass, is the mass of an atom of an element, typically measured in atomic mass units (amu). The script uses the atomic weights of carbon (approximately 12 amu), hydrogen (approximately 1 amu), and oxygen (approximately 16 amu) to calculate the number of moles of each element in eugenol.
๐Ÿ’กMole
A mole is a unit in chemistry that represents the amount of a chemical substance, defined as 6.022 x 10^23 particles (atoms, molecules, ions, etc.). The video uses the concept of a mole to express the quantities of eugenol and its constituent elements.
๐Ÿ’กRatio
In chemistry, a ratio is the comparative relationship between the quantities of different elements in a compound. The video script uses the term to describe the relationship between the moles of carbon, hydrogen, and oxygen in eugenol, which is simplified to form the empirical formula.
Highlights

Eugenol's molar mass is 164.2 grams per mole.

Eugenol is composed of 73.14% carbon, 7.37% hydrogen, and the remainder is oxygen.

Empirical formula represents the simplest ratio of atoms in a molecule.

Molecular formula represents the actual number of atoms in a molecule.

Assumption of 1 mole of eugenol for simplification.

Calculation of carbon mass in eugenol: 120.1 grams.

Calculation of hydrogen mass in eugenol: 12.1 grams.

Determination of oxygen mass in eugenol by subtraction: 32 grams.

Conversion of mass to moles using atomic weights: carbon (12 g/mol), hydrogen (1 g/mol), oxygen (16 g/mol).

Calculation of moles of carbon in eugenol: approximately 10 moles.

Calculation of moles of hydrogen in eugenol: approximately 12 moles.

Calculation of moles of oxygen in eugenol: 2 moles.

Derivation of the molecular formula of eugenol: C10H12O2.

Simplification of the molecular formula to the empirical formula.

Final empirical formula of eugenol: C5H6O.

Explanation of the process to determine the empirical formula by dividing by the greatest common factor.

Emphasis on the importance of understanding atomic weights for calculating moles.

Transcripts
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