Question

How many atoms are in 5 moles of Cadmium?

Answer 1

3 × 10²⁴ atoms Cd

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

5 mol Cd (Cadmium)

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. Set up:
   `\displaystyle 5 \ moles \ Cd((6.022 \cdot 10^(23) \ atoms \ Cd)/(1 \ mol \ Cd))`
2. Multiply:
   `\displaystyle 3.011 \cdot 10^(24) \ atoms \ Cd`

Step 4: Check

Follow sig fig rules and round. We are given 1 sig fig.

3.011 × 10²⁴ atoms Cd ≈ 3 × 10²⁴ atoms Cd