Question

How many moles are in 6.3 x 10^22 molecules of H3PO4?

Answer 1

0.10 mol H₃PO₄

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

6.3 × 10²² molecules H₃PO₄

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. Set up:
   `\displaystyle 6.3 \cdot 10^(22) \ molecules \ H_3PO_4((1 \ mol \ H_3PO_4)/(6.022 \cdot 10^(23) \ molecules \ H_3PO_4))`
2. Multiply:
   `\displaystyle 0.104616 \ moles \ H_3PO_4`

Step 4: Check

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

0.104616 mol H₃PO₄ ≈ 0.10 mol H₃PO₄