Well definite is broad and multiple is more exact that's about
what I can think of
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The law of multiple proportions was proposed by John Dalton in 1804; today this law has not a general validity.
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The Law of Multiple Proportions was proposed by John Dalton.
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The law of multiple proportions can be partly explained by the
idea that whole atoms of the same element combined to form
compounds. Examples of the law of multiple proportions are CO and
CO2.
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The Law of Multiple Proportions was developed by John Dalton based on the Law of Definite Proportions, was part of what laid the groundwork for his atomic theory, and for the basis of chemical formulas for compounds.