Chapter 26: Problem 4
a) What number of trunks is found in one mole of elephants? b) How many moles of trunks are found in one mole of elephants?
Short Answer
Expert verified
The number of trunks found in one mole of elephants is \(6.022 × 10^{23}\), and the number of moles of trunks found in one mole of elephants is 1.
Step by step solution
01
Understanding the concept of a Mole
A mole is a unit used in chemistry which is equivalent to \(6.022 × 10^{23}\) entities (atoms, molecules, ions, etc). In this hypothetical scenario, if we consider elephants and trunks, each elephant has one trunk.
02
Calculate the number of trunks in one mole of elephants (Part a)
Since each elephant has one trunk, it means that in a mole of elephants, there will still be \(6.022 × 10^{23}\) trunks because we have as many trunks as there are elephants.
03
Understand the concept of moles of trunks in one mole of elephants (Part b)
Since each trunk belongs to an elephant and there is one trunk per elephant, the number of moles of trunks is simply the number of moles of elephants.
04
Calculate the number of moles of trunks in one mole of elephants
The number of moles of trunks in one mole of elephants is also 1. This is because we have one trunk for each elephant, hence for any number, or 'mole', of elephants, we would have the same 'mole' number of trunks.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Avogadro's Number
Understanding Avogadro's number is crucial when studying chemistry, especially in relation to the mole concept. Avogadro's number, denoted as \( 6.022 \times 10^{23} \) entities, refers to the number of atoms, ions, or other particles in one mole of any substance. This numerical value is named after the scientist Amedeo Avogadro, who contributed significantly to molecular theory in chemistry.
Imagine a world where we could count each individual particle in a substance; this would be impractical and time-consuming. Avogadro's number allows chemists to work with amounts of substances in a more manageable way, using moles rather than counting exact particles. It helps define the relationship between the atomic or molecular scale and the scale we use in laboratory measurements.
Example in Context: In the given exercise, the number of trunks in one mole of elephants is the same as Avogadro's number, because each elephant, which is the entity in this case, has only one trunk.
Imagine a world where we could count each individual particle in a substance; this would be impractical and time-consuming. Avogadro's number allows chemists to work with amounts of substances in a more manageable way, using moles rather than counting exact particles. It helps define the relationship between the atomic or molecular scale and the scale we use in laboratory measurements.
Example in Context: In the given exercise, the number of trunks in one mole of elephants is the same as Avogadro's number, because each elephant, which is the entity in this case, has only one trunk.
Chemical Calculations
Chemical calculations involve the quantitative relationships between the reactants and products in a chemical reaction. They form the core of chemical studies, as they tell us how much of a substance is involved in a reaction or present in a solution. To perform these calculations, chemists need a convenient unit to express amounts of substances. This is where the mole comes in handy, and, combined with Avogadro's number, it makes these calculations more manageable.
By converting atoms, molecules, or other entities to moles, chemists can easily calculate masses, concentrations, and volume relations using balanced chemical equations. Stoichiometry plays a crucial role here, as it is the field of chemistry that pertains to the calculation of reactants and products in chemical reactions.
Application to Our Exercise: In assessing how many moles of trunks are present in a mole of elephants, the calculation is straightforward because the ratio is 1:1. This illustrates a fundamental principle in chemical calculations: the law of conservation of matter, which tells us that matter is neither created nor destroyed in a chemical reaction.
By converting atoms, molecules, or other entities to moles, chemists can easily calculate masses, concentrations, and volume relations using balanced chemical equations. Stoichiometry plays a crucial role here, as it is the field of chemistry that pertains to the calculation of reactants and products in chemical reactions.
Application to Our Exercise: In assessing how many moles of trunks are present in a mole of elephants, the calculation is straightforward because the ratio is 1:1. This illustrates a fundamental principle in chemical calculations: the law of conservation of matter, which tells us that matter is neither created nor destroyed in a chemical reaction.
Stoichiometry
Stoichiometry is the keystonesubject of chemical calculations, providing a quantitative means of understanding the relationships in chemical reactions. It involves calculations based on the laws of conservation of mass and the concept of the mole. Stoichiometry is used to predict the amounts of products produced or the amounts of reactants needed in a given chemical reaction.
Key Aspects of Stoichiometry:
Key Aspects of Stoichiometry:
- Uses the mole concept to relate masses of substances.
- Employs the balanced chemical equation to find the ratio in which compounds react or form.
- Involves calculating the limiting reactant, theoretical yield, and percent yield of reactions.