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Ch.3 - Mass Relationships in Chemical Reactions
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 3, Problema 4

A can of diet soda contains 180 mg of the low-calorie sugar substitute aspartame (C14H18N2O5). How many molecules of aspartame are in the can of soda? (LO 3.4) (a) 3.7 * 10^23 (b) 3.7 * 10^20 (c) 3.2 * 10^25 (d) 1.2 * 10^22

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1
Determine the molar mass of aspartame (C_{14}H_{18}N_{2}O_{5}) by adding the atomic masses of all the atoms in the formula.
Convert the mass of aspartame in the can (180 mg) to grams by dividing by 1000.
Calculate the number of moles of aspartame using the formula: \( \text{moles} = \frac{\text{mass in grams}}{\text{molar mass}} \).
Use Avogadro's number (6.022 \(\times\) 10^{23} molecules/mol) to convert the moles of aspartame to molecules by multiplying the number of moles by Avogadro's number.
Compare the calculated number of molecules to the given options to determine the correct answer.

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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For aspartame (C14H18N2O5), the molar mass can be calculated by summing the atomic masses of all the atoms in its molecular formula. This value is essential for converting between grams of a substance and moles, which is necessary for determining the number of molecules.
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02:11
Molar Mass Concept

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of atoms, ions, or molecules in one mole of a substance. This constant allows chemists to relate the macroscopic scale of substances (grams) to the microscopic scale (individual molecules). In this problem, it is used to convert the number of moles of aspartame into the actual number of molecules present in the soda.
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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 involves using balanced chemical equations to calculate the amounts of substances consumed and produced. In this context, stoichiometry helps in determining how many molecules of aspartame correspond to the given mass in the can of soda, facilitating the conversion from grams to molecules.
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Percorso guidato
01:16
Stoichiometry Concept
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