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Ch.2 - Atoms, Molecules, and Ions
Chapter 2, Problem 14b

In a series of experiments, a chemist prepared three different compounds that contain only iodine and fluorine and determined the mass of each element in each compound: Compound Mass of Iodine (g) Mass of Fluorine (g) 1 4.75 3.56 2 7.64 3.43 3 9.41 9.86 (b) How do the numbers in part (a) support the atomic theory?

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Calculate the mass ratio of iodine to fluorine for each compound. This can be done by dividing the mass of iodine by the mass of fluorine for each compound.
Compare the mass ratios of iodine to fluorine across the three compounds to see if there are any simple whole number ratios. This step is crucial as it helps to determine if the compounds follow the law of multiple proportions.
Reflect on the concept of the law of multiple proportions, which states that when two elements form more than one compound, the masses of one element that combine with a fixed mass of the other element are in ratios of small whole numbers.
Analyze how the mass ratios support or contradict the atomic theory, which posits that elements are made of indivisible particles called atoms and that the atoms of a given element are identical in mass and properties.
Conclude whether the experimental data supports the atomic theory by checking if the mass ratios are consistent with the idea that compounds are formed from atoms combining in fixed, whole number ratios.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Atomic Theory

Atomic theory posits that matter is composed of discrete units called atoms, which combine in specific ratios to form compounds. This theory explains the behavior of elements and compounds, including their mass relationships. In the context of the question, the varying masses of iodine and fluorine in the compounds illustrate how different combinations of atoms can yield distinct substances, supporting the idea that atoms combine in fixed proportions.
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Law of Definite Proportions

The Law of Definite Proportions states that a chemical compound always contains its component elements in fixed ratio by mass, regardless of the sample size or source. This principle is crucial for understanding the data presented in the question, as the mass ratios of iodine to fluorine in each compound should reflect consistent proportions, reinforcing the atomic theory and the concept of fixed composition in compounds.
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Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows chemists to predict the amounts of substances consumed and produced in a given reaction. In this question, stoichiometric calculations can be applied to analyze the mass data of iodine and fluorine, demonstrating how the ratios of these elements in the compounds align with the principles of atomic theory and the law of definite proportions.
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A 1.0-g sample of carbon dioxide (CO2) is fully decomposed into its elements, yielding 0.273 g of carbon and 0.727 g of oxygen. If a sample of a different compound decomposes into 0.429 g of carbon and 0.571 g of oxygen, what is its ratio of the mass of O to C? (c) According to Dalton's atomic theory, what is the empirical formula of the second compound?

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