Question

Determine the mass (in grams) of 8.02 x 1024 atoms of mercury (Hg).

Answer 1

Answer:

2670 g Hg

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

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

Stoichiometry

• Using Dimensional Analysis

Explanation:

Step 1: Define

8.02 × 10²⁴ atoms Hg

Step 2: Identify Conversions

Avogadro's Number

Molar Mass of Hg - 200.59 g/mol

Step 3: Convert

1. Set up:                               $\displaystyle 8.02 \cdot 10^{24} \ atoms \ Hg(\frac{1 \ mol \ Hg}{6.022 \cdot 10^{23} \ atoms \ Hg})(\frac{200.59 \ g \ Hg}{1 \ mol \ Hg})$
2. Divide/Multiply:                                                                                               $\displaystyle 2671.42 \ g \ Hg$

Step 4: Check

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

2671.42 g Hg ≈ 2670 g Hg