Question

How many moles are in 4.28 x 1023 atoms of carbon?

Answer 1

0.711 moles C

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Chemistry

Atomic Structure

• Reading a Periodic Table
• Moles
• Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

• Using Dimensional Analysis

Step-by-step explanation:

Step 1: Define

[Given] 4.28 × 10²³ atoms C

[Solve] moles C

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. [DA] Set up:
   `\displaystyle 4.28 \cdot 10^(23) \ atoms \ C((1 \ mol \ C)/(6.022 \cdot 10^(23) \ atoms \ C))`
2. [DA] Divide [Cancel out units]:
   `\displaystyle 0.710727 \ moles \ C`

Step 4: Check

Follow sig fig rules and round. We are given 3 sig figs.

0.710727 moles C ≈ 0.711 moles C