What is the mass, in kilograms, of an Avogadro's number of people, if the average mass of a person is 160 lb? How does this compare with the mass of Earth, 5.98⨉1024 kg?
Ch.3 - Chemical Reactions and Reaction Stoichiometry
Chapter 3, Problem 35c
Calculate the following quantities: (c) number of molecules in 1.0⨉10−6 mol CH3CH2OH
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Identify the given quantity: 1.0 \times 10^{-6} \text{ mol of } \text{CH}_3\text{CH}_2\text{OH}.
Recall Avogadro's number, which is approximately 6.022 \times 10^{23} \text{ molecules/mol}.
Use the formula: \text{Number of molecules} = \text{moles} \times \text{Avogadro's number}.
Substitute the given moles (1.0 \times 10^{-6} \text{ mol}) and Avogadro's number into the formula.
Perform the multiplication to find the number of molecules.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mole Concept
The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole contains approximately 6.022 x 10²³ entities, such as atoms or molecules, known as Avogadro's number. This concept allows chemists to convert between the mass of a substance and the number of particles it contains, facilitating calculations in stoichiometry.
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Molecular Formula
A molecular formula represents the number and type of atoms in a molecule. For example, CH₃CH₂OH (ethanol) consists of two carbon atoms, six hydrogen atoms, and one oxygen atom. Understanding molecular formulas is essential for determining the composition of substances and performing calculations related to their quantities.
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Determining Molecular Formulas
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one unit to another unit. In chemistry, this often involves converting moles to molecules using Avogadro's number. Mastery of unit conversion is crucial for accurately calculating quantities in chemical reactions and understanding relationships between different measurements.
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