Question

How many moles of copper are in 1.51 x 1024 Cu atoms?

Answer 1

Answer:

2.51 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

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

Explanation:

Step 1: Define

1.51 × 10²⁴ atoms Cu

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. Set up:                                $\displaystyle 1.51 \cdot 10^{24} \ atoms \ Cu(\frac{1 \ mol \ Cu}{6.022 \cdot 10^{23} \ atoms \ Cu})$
2. Multiply/Divide:                  $\displaystyle 2.50747 \ mol \ Cu$

Step 4: Check

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

2.50747 mol Cu ≈ 2.51 mol Cu