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Answer:

1.2 × 10²⁴ atoms C

General Formulas and Concepts:

Chemistry

Atomic Structure

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

Stoichiometry

  • Using Dimensional Analysis

Math

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Explanation:

Step 1: Define

Identify variables

[Given] 24 g C

[Solve] atoms C

Step 2: Identify Conversions

Avogadro's Number

[PT] Molar Mass of C: 12.01 g/mol

Step 3: Convert

  1. [DA] Set up:                                                                                                       [tex]\displaystyle 24 \ g \ C(\frac{1 \ mol \ C}{12.01 \ g \ C})(\frac{6.022 \cdot 10^{23} \ atoms \ C}{1 \ mol \ C})[/tex]
  2. [DA] Divide\Multiply [Cancel out units]:                                                          [tex]\displaystyle 1.2034 \cdot 10^{24} \ atoms \ C[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 2 sig figs.

1.2034 × 10²⁴ atoms C ≈ 1.2 × 10²⁴ atoms C

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