Question

How many molecules of carbon dioxide are in 5.61 moles of carbon dioxide (CO2)?

Answer 1

Answer:

3.38 × 10²⁴ molecules CO₂

General Formulas and Concepts:

Math

Order of Operations: BPEMDAS

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

• Left to Right

Chemistry

Atomic Structure

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

Stoichiometry

• Using Dimensional Analysis

Explanation:

Step 1: Define

[Given] 5.61 moles CO₂

[Solve] molecules CO₂

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. [DA] Set up:                                                                                                      $\displaystyle 5.61 \ mooles \ CO_2(\frac{6.022 \cdot 10^{23} \ molecules \ CO_2}{1 \ mol \ CO_2})$
2. [DA] Multiply/Divide [Cancel out units]:                                                          $\displaystyle 3.37834 \cdot 10^{24} \ molecules \ CO_2$

Step 4: Check

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

3.37834 × 10²⁴ molecules CO₂ ≈ 3.38 × 10²⁴ molecules CO₂