Measurements show that 1.0 g of iron (Fe) contains 1.1...

Measurements show that $1.0 \mathrm{g}$ of iron (Fe) contains $1.1 \times 10^{22}$ Fe atoms. How many Fe atoms are in $4.9 \mathrm{g}$ of $\mathrm{Fe}$, which is the total amount of iron in the body of an average adult?

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Key Concepts

Proportional Reasoning

This concept involves using ratios to compare two related quantities. In this context, knowing the number of atoms in one gram of iron allows for determining the number of atoms in any other mass by setting up a proportional relationship. It is a foundational mathematical idea used to scale information from one measurement to another.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same value. Here, the conversion factor is given (atoms per gram), and it is used to convert the mass of iron into the total number of atoms by multiplying the mass by the conversion factor.

Scientific Notation

Scientific notation is a method of writing very large or very small numbers in a compact form, which makes them easier to work with. It is particularly useful in fields like chemistry and physics where quantities often have extreme values, allowing for clearer arithmetic operations such as multiplication and division.

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