Question

How many moles are equal to 4.0x1023 atoms of germanium?

Answer 1

0.66 mol Ge

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

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

Stoichiometry

• Using Dimensional Analysis

Step-by-step explanation:

Step 1: Define

4.0 × 10²³ atoms Ge

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. Set up:
   `\displaystyle 4.0 \cdot 10^(23) \ atoms \ Ge((1 \ mol \ Ge)/(6.022 \cdot 10^(23) \ atoms \ Ge))`
2. Divide:
   `\displaystyle 0.664321 \ mol \ Ge`

Step 4: Check

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

0.664321 mol Ge ≈ 0.66 mol Ge