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Ch.2 - Atoms, Molecules & Ions
Chapter 2, Problem 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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Key Concepts

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

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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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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