Question

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

Answer 1

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((1 \ mol \ Hg)/(6.022 \cdot 10^(23) \ atoms \ Hg))((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