Question

What is the mass of 2.16 moles of sulfur dioxide (SO2)?

Answer 1

Answer:

138 g SO₂

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

Stoichiometry

• Using Dimensional Analysis

Explanation:

Step 1: Define

[Given] 2.16 moles SO₂

[Solve] grams (mass) SO₂

Step 2: Identify Conversions

[PT] Molar Mass of S - 32.07 g/mol

[PT] Molar Mass of O - 16.00 g/mol

Molar Mass of SO₂ - 32.07 + 2(16.00) = 64.07 g/mol

Step 3: Convert

1. [DA] Set up:                                                                                                     $\displaystyle 2.16 \ mol \ SO_2(\frac{64.07 \ g \ SO_2}{1 \ mol \ SO_2})$
2. [DA] Multiply/Divide [Cancel out units]:                                                         $\displaystyle 138.391 \ g \ SO_2$

Step 4: Check

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

138.391 g SO₂ ≈ 138 g SO₂