Study Guides/Chemistry/Equivalent Weight Formula
Study Guide · Chemistry

What is the Formula for Equivalent Weight?

In analytical chemistry and titrations, you rarely use the raw 'Molecular Weight' of a compound. Because different chemicals react with different strengths, chemists use a much more accurate concept called Equivalent Weight.

The universal master formula for calculating Equivalent Weight is: Equivalent Weight = Molecular Weight / n-factor

Question (Click to Flip)

What is the formula for equivalent weight?

Answer

The formula is the Molecular Weight of the compound divided by its n-factor (valency factor).

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Key Facts

Master Formula: Eq. Wt = Molecular Wt / n-factor.

n-factor for Acid: Basicity (Number of replaceable H⁺ ions).

n-factor for Base: Acidity (Number of replaceable OH⁻ ions).

n-factor for Salt: Total positive charge on the cation.

Usage: It is absolutely essential for calculating the 'Normality' of a chemical solution in lab titrations.

Understanding the 'n-factor' (Valency Factor)

The only difficult part of calculating the equivalent weight is finding the 'n-factor' (the denominator). The rule for finding the n-factor completely changes depending on whether the chemical is an acid, a base, or a salt.

1. Formula for Acids

For acids, the n-factor is its Basicity (the number of H⁺ ions the acid can release in water).

  • Formula: Eq Wt of Acid = Molecular Weight / Basicity.
  • Example (Sulfuric Acid - H₂SO₄): It can release 2 Hydrogen ions, so its basicity is 2. The molecular weight is 98. Therefore, Eq Wt = 98 / 2 = 49.

2. Formula for Bases

For bases, the n-factor is its Acidity (the number of OH⁻ hydroxide ions the base can release).

  • Formula: Eq Wt of Base = Molecular Weight / Acidity.
  • Example (Sodium Hydroxide - NaOH): It releases exactly 1 OH⁻ ion, so its acidity is 1. The molecular weight is 40. Therefore, Eq Wt = 40 / 1 = 40.

3. Formula for Salts

For ionic salts, the n-factor is the total positive charge on the metal cation.

  • Formula: Eq Wt of Salt = Molecular Weight / Total Positive Charge.
  • Example (Sodium Carbonate - Na₂CO₃): There are two Sodium atoms (Na⁺). Each has a +1 charge. Total positive charge = 2. Molecular weight is 106. Therefore, Eq Wt = 106 / 2 = 53.

Questions and Answers

What is the formula for equivalent weight?+

The formula is the Molecular Weight of the compound divided by its n-factor (valency factor).

How do you find the equivalent weight of H2SO4?+

H2SO4 has a molecular weight of 98. Because it has two replaceable hydrogen ions, its n-factor is 2. Dividing 98 by 2 gives an equivalent weight of 49.

What is the equivalent weight of an element?+

For a pure element, the equivalent weight is simply its Atomic Mass divided by its Valency. For example, Oxygen has a mass of 16 and a valency of 2, so its equivalent weight is 8.

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