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Ch.2 - Atoms, Molecules & Ions
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 95

A period at the end of sentence written with a graphite pen-cil has a diameter of 1 mm. How many carbon atoms would it take to line up across the period if a single carbon atom has a diameter of 150 pm?

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First, we need to convert the diameter of the period from millimeters to picometers. There are 1,000,000,000 picometers in a millimeter, so we multiply the diameter of the period by this conversion factor.
Next, we divide the diameter of the period in picometers by the diameter of a single carbon atom to find out how many carbon atoms can fit across the period.
Remember that when we divide the diameter of the period by the diameter of a single carbon atom, we are assuming that the carbon atoms are perfectly lined up and that there are no gaps between them.
This calculation will give us the number of carbon atoms that can fit across the period. However, this is an approximation because in reality, atoms are not perfect spheres and there may be some space between them.
Finally, round your answer to the nearest whole number, because you can't have a fraction of an atom.

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Atomic Diameter

The diameter of an atom is a measure of its size, typically expressed in picometers (pm). For carbon, the diameter is approximately 150 pm, which is essential for calculating how many carbon atoms can fit across a given distance. Understanding atomic size helps in visualizing the scale of atoms in relation to macroscopic objects.
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Conversion of Units

To solve the problem, it's crucial to convert units appropriately. The diameter of the period is given in millimeters (mm), while the diameter of a carbon atom is in picometers (pm). Knowing that 1 mm equals 1,000,000 pm allows for a direct comparison and calculation of how many carbon atoms can fit across the period.
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Conversion Factors

Molecular Arrangement

Molecular arrangement refers to how atoms are organized in space. In this context, it involves lining up carbon atoms in a straight line across the diameter of the period. Understanding this concept is vital for visualizing how individual atoms can be counted and arranged in relation to larger structures.
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Molecular Polarity