Calculate the molar mass of phosphoric acid H3PO4

Calculate the molar mass of phosphoric acid H3PO4.

The correct answer and explanation is:

Molar Mass of Phosphoric Acid (H₃PO₄)

The molar mass of phosphoric acid is calculated by summing the atomic masses of its constituent atoms. The chemical formula H3PO4H_3PO_4 indicates it contains:

  • Hydrogen (H): 3 atoms
  • Phosphorus (P): 1 atom
  • Oxygen (O): 4 atoms

Using the periodic table:

  • Atomic mass of H = 1.01 g/mol
  • Atomic mass of P = 30.97 g/mol
  • Atomic mass of O = 16.00 g/mol

Calculation:

Molar mass=(3×1.01)+(1×30.97)+(4×16.00)\text{Molar mass} = (3 \times 1.01) + (1 \times 30.97) + (4 \times 16.00) Molar mass=3.03+30.97+64.00=98.00 g/mol\text{Molar mass} = 3.03 + 30.97 + 64.00 = 98.00 \, \text{g/mol}

Thus, the molar mass of phosphoric acid (H3PO4H_3PO_4) is 98.00 g/mol.


Explanation:

Molar mass is the mass of one mole of a chemical compound, expressed in grams per mole (g/molg/mol). It is a crucial property in chemistry for understanding the quantities of substances involved in chemical reactions.

Steps:

  1. Understand the Formula: The formula H3PO4H_3PO_4 shows the ratio of atoms in the compound: 3 hydrogens, 1 phosphorus, and 4 oxygens.
  2. Find Atomic Masses: Atomic masses of individual elements are obtained from the periodic table. These values reflect the average mass of an atom, accounting for isotopes.
  3. Multiply by Number of Atoms: For each element, multiply its atomic mass by the number of atoms in the compound.
    • For hydrogen: 3×1.01 g/mol3 \times 1.01 \, \text{g/mol}
    • For phosphorus: 1×30.97 g/mol1 \times 30.97 \, \text{g/mol}
    • For oxygen: 4×16.00 g/mol4 \times 16.00 \, \text{g/mol}.
  4. Sum the Results: Adding these contributions gives the total molar mass.

Phosphoric acid is a triprotic acid widely used in fertilizers, food flavoring, and rust removal. Understanding its molar mass allows chemists to measure precise quantities for reactions, ensuring accurate stoichiometric calculations.

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