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Answer:

2.0 × 10⁻²³ g C

General Formulas and Concepts:

Chemistry - Atomic Structure

  • Using Dimensional Analysis
  • Avogadro Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Explanation:

Step 1: Define

1 atom C

Step 2: Identify Conversions

Avogadro Number

Molar Mass of C - 12.01 g/mol

Step 3: Convert

[tex]1 \ atom \ C(\frac{1 \ mol \ C}{6.022 \cdot 10^{23} \ atoms \ C} )(\frac{12.01 \ g \ C}{1 \ mol \ C} )[/tex] = 1.99435 × 10⁻²³ g C

Step 4: Check

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

1.99435 × 10⁻²³ g C ≈ 2.0 × 10⁻²³ g C