Question

How many moles of Cu are in 1.48 × 1025 Cu atoms?

Answer 1

Answer:

24.6 mol Cu

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

Explanation:

Step 1: Define

[Given] 1.48 × 10²⁵ atoms Cu

[Solve] moles Cu

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. [DA] Set up:                                                                                                     $\displaystyle 1.48 \cdot 10^{25} \ atoms \ Cu(\frac{1 \ mol \ Cu}{6.022 \cdot 10^{23} \ atoms \ Cu})$
2. [DA] Divide [Cancel out units]:                                                                       $\displaystyle 24.5766 \ mol \ Cu$

Step 4: Check

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

24.5766 mol Cu ≈ 24.6 mol Cu