Question

How many moles are in 1.7 x 10^50 particles of Al?

Answer 1

2.8 × 10²⁶ moles Al

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] 1.7 × 10⁵⁰ particles Al

[Solve] moles Al

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. [DA] Set up:
   `\displaystyle 1.7 \cdot 10^(50) \ particles \ Al((1 \ mol \ Al)/(6.022 \cdot 10^(23) \ particles \ Al))`
2. [DA] Divide [Cancel out units]:
   `\displaystyle 2.82298 \cdot 10^(26) \ moles \ Al`

Step 4: Check

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

2.82298 × 10²⁶ moles Al ≈ 2.8 × 10²⁶ moles Al