Question

How many molecules of CO2 are equivalent to 112g CO2 scientific figures

Answer 1

N(CO2) = n(CO2) x Avogadros constant

n(CO2) = mass(CO2)/Molar mass(CO2) = 112/44 = 2.5454….

N(CO2) = 2.545454… x (6.02 x 10^23) = 1.5323636 x 10^24

Therefore, the number of CO2 molecules in 112 g of CO2 = 1.53 x 10^24 molecules

Answer 2

1.53 × 10²⁴ molecules CO₂

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

Step-by-step explanation:

Step 1: Define

112 g CO₂

Step 2: Identify Conversions

Avogadro's Number

[PT] Molar Mass of C - 12.01 g/mol

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

Molar Mass of CO₂ - 12.01 + 2(16.00) = 44.01 g/mol

Step 3: Convert

1. [Dimensional Analysis] Set up:
   `\displaystyle 112 \ g \ CO_2((1 \ mol \ CO_2)/(44.01 \ g \ CO_2))((6.022 \cdot 10^(23) \ molecules \ CO_2)/(1 \ mol \ CO_2))`
2. [Dimensional Analysis] Multiply/Divide [Cancel out units]:
   `\displaystyle 1.53252 \cdot 10^(24) \ molecules \ CO_2`

Step 4: Check

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

1.53252 × 10²⁴ molecules CO₂ ≈ 1.53 × 10²⁴ molecules CO₂