Question

How many atoms do 24 g of carbon have

Answer 1

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

Step-by-step 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:
   `\displaystyle 24 \ g \ C((1 \ mol \ C)/(12.01 \ g \ C))((6.022 \cdot 10^(23) \ atoms \ C)/(1 \ mol \ C))`
2. [DA] Divide\Multiply [Cancel out units]:
   `\displaystyle 1.2034 \cdot 10^(24) \ atoms \ C`

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