Question

How many moles are in 3.2 x 10^25 atoms of silver?

Answer 1

53 mol Ag

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

• Reading a Periodic Table
• Moles
• Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

• Using Dimensional Analysis

Step-by-step explanation:

Step 1: Define

[Given] 3.2 × 10²⁵ atoms Ag

[Solve] moles Ag

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. [DA] Set up:
   `\displaystyle 3.2 \cdot 10^(25) \ atoms \ Ag((1 \ mol \ Ag)/(6.022 \cdot 10^(23) \ atoms \ Ag))`
2. [DA] Multiply/Divide [Cancel out units]:
   `\displaystyle 53.1385 \ mol \ Ag`

Step 4: Check

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

53.1385 mol Ag ≈ 53 mol Ag