If I had 3.50 x 10 24molecules of Cl2 gas, how many grams is this?

Question

If I had 3.50 x 10 24molecules of Cl2 gas, how many grams is this?

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Thông Đạt 3 weeks 2021-08-23T23:42:57+00:00 1 Answers 1 views 0

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    2021-08-23T23:44:22+00:00

    Answer:

    412 g Cl₂

    General Formulas and Concepts:

    Atomic Structure

    • Reading a Periodic Table
    • Moles
    • Avogadro’s Number – 6.022 × 10²³ atoms, molecules, formula units, etc.

    Stoichiometry

    • Using Dimensional Analysis

    Explanation:

    Step 1: Define

    [Given] 3.50 × 10²⁴ molecules Cl₂

    [Solve] grams Cl₂

    Step 2: Identify Conversions

    Avogadro’s Number

    [PT] Molar Mass of Cl – 35.45 g/mol

    Molar Mass of Cl₂ – 2(35.45) = 70.9 g/mol

    Step 3: Convert

    1. [DA] Set up:                                                                                                       \displaystyle 3.50 \cdot 10^{24} \ molecules \ Cl_2(\frac{1 \ mol \ Cl_2}{6.022 \cdot 10^{23} \ molecules \ Cl_2})(\frac{70.9 \ g \ Cl_2}{1 \ mol \ Cl_2})
    2. [DA] Divide/Multiply [Cancel out units]:                                                           \displaystyle 412.072 \ g \ Cl_2

    Step 4: Check

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

    412.072 g Cl₂ ≈ 412 g Cl₂

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