Question

How many moles are in 825 atoms of carbon?

Answer 1

1.37 × 10⁻²¹ mol C

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

825 atoms C

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

`\displaystyle 825 \ atoms \ C((1 \ mol \ C)/(6.022 \cdot 10^(23) \ atoms \ C) )` = 1.36998 × 10⁻²¹ mol C

Step 4: Check

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

1.36998 × 10⁻²¹ mol C ≈ 1.37 × 10⁻²¹ mol C