Question

Please help me :(!!!! How many moles is 4.6 x 10^28 atoms of carbon (C)?

Thank you so much :)!!!

Answer 1

76000 mol 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

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

Stoichiometry

• Using Dimensional Analysis

Step-by-step explanation:

Step 1: Define

[Given] 4.6 × 10²⁸ atoms C

[Solve] moles C

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. [DA] Set up:
   `\displaystyle 4.6 \cdot 10^(28) \ atoms \ C((1 \ mol \ C)/(6.022 \cdot 10^(23) \ atoms \ C))`
2. [DA] Multiply/Divide [Cancel out units]:
   `\displaystyle 76386.6 \ mol \ C`

Step 4: Check

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

76386.6 mol C ≈ 76000 mol C