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Calculate The Molar Mass of Each of The Following:

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Molar mass is a fundamental concept in chemistry that represents the mass of one mole of a substance. It's calculated by summing the atomic masses of all atoms in a compound's molecular formula. This calculation is essential for stoichiometry, solution chemistry, and various chemical calculations.

What is Molar Mass?

Molar mass (also called molecular weight) is the mass of one mole of a substance. It's expressed in grams per mole (g/mol) and is calculated by summing the atomic masses of all atoms in a compound's molecular formula.

The concept of molar mass is crucial in chemistry because it allows chemists to relate the mass of a substance to the number of atoms or molecules present. This relationship is fundamental to stoichiometry, the calculation of reactants and products in chemical reactions.

Molar mass is different from molecular mass. Molecular mass refers to the mass of a single molecule, while molar mass refers to the mass of a mole (6.022 × 10²³ molecules) of that substance.

How to Calculate Molar Mass

To calculate the molar mass of a compound, follow these steps:

  1. Write down the molecular formula of the compound.
  2. Identify the number of each type of atom in the formula.
  3. Find the atomic mass of each element from the periodic table.
  4. Multiply each atomic mass by the number of atoms of that element in the formula.
  5. Sum all the values to get the molar mass.
Molar Mass = Σ (Number of atoms of each element × Atomic mass of each element)

For example, to calculate the molar mass of water (H₂O):

  • Hydrogen (H) has an atomic mass of approximately 1.008 g/mol.
  • Oxygen (O) has an atomic mass of approximately 15.999 g/mol.
  • There are 2 hydrogen atoms and 1 oxygen atom in water.
  • Calculation: (2 × 1.008) + (1 × 15.999) = 18.015 g/mol.

Example Calculations

Example 1: Methane (CH₄)

Carbon (C): 1 × 12.011 g/mol

Hydrogen (H): 4 × 1.008 g/mol

Total: 12.011 + 4.032 = 16.043 g/mol

Example 2: Sodium Chloride (NaCl)

Sodium (Na): 1 × 22.990 g/mol

Chlorine (Cl): 1 × 35.453 g/mol

Total: 22.990 + 35.453 = 58.443 g/mol

Example 3: Glucose (C₆H₁₂O₆)

Carbon (C): 6 × 12.011 g/mol

Hydrogen (H): 12 × 1.008 g/mol

Oxygen (O): 6 × 15.999 g/mol

Total: 72.066 + 12.096 + 95.994 = 179.156 g/mol

Common Chemical Compounds

The following table shows the molar masses of some common chemical compounds:

Compound Formula Molar Mass (g/mol)
Water H₂O 18.015
Methane CH₄ 16.043
Ethanol C₂H₅OH 46.069
Sucrose (Table Sugar) C₁₂H₂₂O₁₁ 342.297
Calcium Carbonate CaCO₃ 100.087

FAQ

What is the difference between molar mass and molecular weight?

Molar mass and molecular weight are often used interchangeably, but technically, molecular weight refers to the mass of a single molecule, while molar mass refers to the mass of a mole (6.022 × 10²³ molecules) of that substance.

Why is molar mass important in chemistry?

Molar mass is crucial for stoichiometry, solution chemistry, and various chemical calculations. It allows chemists to relate the mass of a substance to the number of atoms or molecules present.

How do I find the atomic masses needed for calculations?

Atomic masses can be found on the periodic table. Most modern periodic tables include atomic masses rounded to at least three decimal places.