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How many moles are in 3.24 x 1020 particles of lead? (show work plz)

1 Answer

4 votes

Answer:

0.000538 mol Pb

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

  • Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

  • Using Dimensional Analysis

Step-by-step explanation:

Step 1: Define

3.24 × 10²⁰ particles Pb (lead)

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

  1. Set up:
    \displaystyle 3.24 \cdot 10^(20) \ particles \ Pb((1 \ mol \ Pb)/(6.022 \cdot 10^(23) \ particles \ Pb))
  2. Multiply/Divide:
    \displaystyle 0.000538 \ mol \ Pb

Step 4: Check

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

Our final answer is in 3 sig figs, no need to round.

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