Study Guides/Chemistry/Law of Reciprocal Proportion
Study Guide · Chemistry

Law of Reciprocal Proportion (Richter's Law)

The Law of Reciprocal Proportions (also called the Law of Equivalent Proportions or Richter's Law) is one of the fundamental laws of chemical combination formulated by Jeremias Benjamin Richter in 1792.

Question (Click to Flip)

Who proposed the Law of Reciprocal Proportions?

Answer

The Law of Reciprocal Proportions was proposed by German chemist Jeremias Benjamin Richter in 1792. It is therefore sometimes called Richter's Law.

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Key Facts

The five laws of chemical combination are: 1) Conservation of mass, 2) Definite proportions, 3) Multiple proportions, 4) Reciprocal proportions, 5) Gay-Lussac's law of combining volumes.

Statement of the Law

Statement: 'If two different elements A and B each combine with a fixed mass of a third element C, then the ratio in which A and B combine with each other will be the same, or a simple multiple of, the ratio in which they combine with C.'

Classic Example: Consider hydrogen (H), oxygen (O), and sulphur (S):

  • H₂O: 2 parts H combine with 16 parts O → ratio H:O = 2:16 = 1:8
  • H₂S: 2 parts H combine with 32 parts S → ratio H:S = 2:32 = 1:16
  • SO₂: 32 parts S combine with 32 parts O → ratio S:O = 32:32 = 1:1

Now, O and S combine (using H as the common element): ratio expected = 1:8 × 1:16 = 1:2 (simplified). In SO₂, ratio S:O = 1:1, and in SO₃ = 1:1.5 = 2:3 — these are simple multiples of the expected ratio. ✓

Significance

This law, along with the Laws of Definite Proportions and Multiple Proportions, was explained perfectly by Dalton's Atomic Theory. The law shows a fundamental mathematical harmony in how elements combine.

Questions and Answers

Who proposed the Law of Reciprocal Proportions?+

The Law of Reciprocal Proportions was proposed by German chemist **Jeremias Benjamin Richter** in 1792. It is therefore sometimes called Richter's Law.

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