A penny has a thickness of approximately 1.0 mm . If you stacked Avogadro's number of pennies o

step 1 We're going to be solving problem number 103 of Chapter 1 in Trous Chemistry Structure and Prope

A penny has a thickness of approximately 1.0 mm . If you...

A penny has a thickness of approximately $1.0 \mathrm{~mm} .$ If you stacked Avogadro's number of pennies one on top of the other on Earth's surface, how far would the stack extend (in $\mathrm{km}$ )? [For comparison, the sun is about 150 million $\mathrm{km}$ from Earth, and the nearest star (Proxima Centauri) is about 40 trillion $\mathrm{km}$ from Earth.]

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Key Concepts

Avogadro's Number

Avogadro's Number is a fundamental constant in chemistry representing the number of particles, typically atoms or molecules, contained in one mole of a substance. It is essential for converting between microscopic and macroscopic quantities and is approximately 6.022 x 10^23, which allows us to scale atomic or molecular dimensions to amounts observable in the laboratory or in everyday objects.

Unit Conversion

Unit conversion is the process of converting one set of measurement units to another to ensure consistency during calculations. In problems involving distances, converting units such as millimeters to kilometers is crucial for comparing measurements, especially when dealing with very large numbers or astronomical distances.

Scientific Notation and Orders of Magnitude

Scientific notation is a method used to express very large or very small numbers in a compact form, which simplifies mathematical calculations and comparisons. Understanding orders of magnitude helps in grasping the scale of quantities, allowing one to appreciate differences between everyday measurements and astronomical distances.

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