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Ch.3 - Mass Relationships in Chemical Reactions
Chapter 3, Problem 105

The mass of an organic compound was found by mass spectrometry to be 58.07746. Is the sample C4H10, C3H6O, or C2H6N2? Exact masses of elements are: 1.007825 (1H); 12.00000 (12C); 14.003074 (14N); 15.994915 (16O).

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1
Calculate the exact mass of C4H10 by adding the masses of 4 carbon atoms and 10 hydrogen atoms: \(4 \times 12.00000 + 10 \times 1.007825\).
Calculate the exact mass of C3H6O by adding the masses of 3 carbon atoms, 6 hydrogen atoms, and 1 oxygen atom: \(3 \times 12.00000 + 6 \times 1.007825 + 1 \times 15.994915\).
Calculate the exact mass of C2H6N2 by adding the masses of 2 carbon atoms, 6 hydrogen atoms, and 2 nitrogen atoms: \(2 \times 12.00000 + 6 \times 1.007825 + 2 \times 14.003074\).
Compare the calculated exact masses of C4H10, C3H6O, and C2H6N2 with the given mass of 58.07746 to determine which compound matches.
Identify the compound whose calculated exact mass is closest to the given mass of 58.07746.

Key Concepts

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

Molecular Formula

A molecular formula represents the number and type of atoms in a molecule. It is expressed using chemical symbols and subscripts, indicating how many of each atom are present. For example, C4H10 indicates a molecule with four carbon atoms and ten hydrogen atoms. Understanding molecular formulas is essential for determining the identity of a compound based on its mass.
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Mass Spectrometry

Mass spectrometry is an analytical technique used to measure the mass-to-charge ratio of ions. It helps identify the composition of a sample by determining the mass of its molecules. The resulting mass spectrum provides information about the molecular weight, allowing chemists to deduce the molecular formula of unknown compounds based on their mass.
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Atomic Mass and Molar Mass Calculation

Atomic mass is the mass of a single atom, typically expressed in atomic mass units (amu). To find the molar mass of a compound, one sums the atomic masses of all atoms in its molecular formula. This calculation is crucial for comparing the experimental mass obtained from mass spectrometry with the theoretical masses of potential molecular formulas, aiding in the identification of the compound.
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