Question

How many moles are in 1.204x10^24 atoms of a gas?

Please help!

Answer 1

1.999 mol gas

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

1.204 × 10²⁴ atoms gas

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

1. Set up:
   `\displaystyle 1.204 \cdot 10^(24) \ atoms \ gas((1 \ mol \ gas)/(6.022 \cdot 10^(23) \ atoms \ gas))`
2. Multiply/Divide:
   `\displaystyle 1.99934 \ moles \ gas`

Step 4: Check

Follow sig fig rules and round. We are given 4 sig figs.

1.99934 mol gas ≈ 1.999 mol gas