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

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1 Answer

8 votes

Answer:

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

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