How is the concept of " 1 mole" similar to the concept of " 1 dozen"?

Short Answer

Expert verified
Both the concepts of "1 mole" and "1 dozen" are similar as they are counting units used to represent fixed numbers of entities and simplify large numbers. A mole represents \(6.022 \times 10^{23}\) entities (atoms, molecules, or ions) in chemistry, while a dozen represents 12 entities (such as eggs, pencils, or any other items).

Step by step solution

01

Definition of a Mole and a Dozen

A mole is a unit of measurement in chemistry, used to express amounts of a chemical substance. It is defined as the amount of a substance that contains the same number of atoms, molecules, or ions as there are in 12 grams of carbon-12. One mole contains approximately \(6.022 \times 10^{23}\) entities (known as Avogadro's number). A dozen is a unit used for counting items, and it's equal to 12 of those items. For example, when you say one dozen eggs, you mean 12 eggs.
02

Similarity #1: Both are counting units

Both mole and dozen are used as counting units. A mole is a unit of measurement for chemical substances, whereas a dozen is a general unit used for counting any group of items.
03

Similarity #2: Both are used to express a fixed number of entities

Both mole and dozen represent fixed numbers. One mole represents \(6.022 \times 10^{23}\) entities (atoms, molecules, or ions), while one dozen represents 12 entities (such as eggs, pencils, or any other items).
04

Similarity #3: Both simplify large numbers

The concept of a mole is used to simplify extremely large numbers of particles in chemistry. Similarly, a dozen is used to simplify the counting of items. For instance, it's easier to say one mole of water molecules or one dozen donuts instead of expressing the exact number of entities in each case. In conclusion, both the concepts of "1 mole" and "1 dozen" are similar in that they are counting units used to represent fixed numbers of entities and simplify large numbers.

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