Could you give me the brief steps in determining the relative atomic mass of a compound and deeply explain

Chemistry

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Answer

You're asking about the relative molecular mass or relative formula mass of a compound, not its relative atomic mass. Relative atomic mass (Ar) applies to individual elements.

Step-by-step solution

4 steps

Here's how to determine the relative molecular mass (Mr) or relative formula mass of a compound:

Relative molecular mass (Mr) is the sum of the relative atomic masses of all the atoms in a molecule. For ionic compounds, it's called relative formula mass. Both are dimensionless quantities.

Steps to determine the relative molecular/formula mass of a compound:

  1. Identify the chemical formula.

    Write down the correct chemical formula for the compound. This shows the types of atoms present and the number of each type.

  2. Find the relative atomic mass (Ar) for each element.

    Look up the relative atomic mass (Ar) for each element in the compound from the periodic table.

  3. Multiply each element's Ar by its number of atoms.

    For each element in the formula, multiply its relative atomic mass (Ar) by the number of times that atom appears in the chemical formula.

  4. Sum the results.

    Add up all the values calculated in Step 3. This sum is the relative molecular mass (Mr) or relative formula mass of the compound.

    Deep Explanation:

    A compound is formed when two or more different elements are chemically bonded together. The mass of a compound is simply the sum of the masses of all the atoms that make it up. Since we use relative atomic masses to compare the masses of individual atoms, we use them to find the relative molecular mass of a compound.

    Let's take the example of water, H₂O:

    1. Chemical Formula: H₂O. This tells us that one molecule of water contains two hydrogen (H) atoms and one oxygen (O) atom.

    2. Relative Atomic Masses (Ar): From the periodic table: Ar of Hydrogen (H) ≈ 1.0 Ar of Oxygen (O) ≈ 16.0

    3. Multiply by number of atoms: For Hydrogen: 2 atoms × Ar(H) = 2 × 1.0 = 2.0 For Oxygen: 1 atom × Ar(O) = 1 × 16.0 = 16.0

    4. Sum the results: Relative molecular mass of H₂O = (2.0) + (16.0) = 18.0

    This means that one molecule of water is 18 times heavier than one-twelfth the mass of a carbon-12 atom. This method ensures that the mass of the entire compound is accurately represented by summing the contributions of all its constituent atoms, taking into account their relative abundances and the number of each atom in the compound.

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