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How did the Dulong-Petit law help scientists estimate atomic weights?

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The Dulong-Petit law states that the gram-atomic heat capacity—calculated as the product of an element's specific heat and its atomic weight—is approximately a constant value of six calories per gram atom.1

Because this value is constant for solid elements, scientists were able to use it as an empirical tool to estimate atomic weights. By measuring the specific heat of a solid element, researchers could rearrange the relationship to solve for the unknown atomic weight. While the law was later refined to apply primarily to metallic elements and is now considered an approximation for intermediately high temperatures, it played a crucial role in the early determination of atomic weights.12