Question

3.25 x 10^24 molecules of dinitrogen pentoxide would be how many moles?

Answer 1

5.40 mol N₂O₅

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

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

Step-by-step explanation:

Step 1: Define

3.25 × 10²⁴ molecules N₂O₅

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. Set up:
   `\displaystyle 3.25 \cdot 10^(24) \ molecules \ N_2O_5((1 \ mol \ N_2O_5)/(6.022 \cdot 10^(23) \ molecules \ N_2O_5))`
2. Multiply:
   `5.39688 \ mol \ N_2O_5`

Step 4: Check

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

5.39688 mol N₂O₅ ≈ 5.40 mol N₂O₅