Respuesta :

Space

Answer:

4.98 × 10²³ formula units Ba(NO₃)₂

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
  • Moles
  • Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

  • Using Dimensional Analysis

Explanation:

Step 1: Define

[Given] 216 g Ba(NO₃)₂

[Solve] formula units Ba(NO₃)₂

Step 2: Identify Conversions

Avogadro's Number

[PT] Molar Mass of Ba - 137.33 g/mol

[PT] Molar Mass of N - 14.01 g/mol

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

Molar Mass of Ba(NO₃)₂ - 137.33 + 2[14.01 + 3(16.00)] = 261.35 g/mol

Step 3: Convert

  1. [DA] Set up:                                                                                                      [tex]\displaystyle 216 \ g \ Ba(NO_3)_2(\frac{1 \ mol \ Ba(NO_3)_2}{261.35 \ g \ Ba(NO_3)_2})(\frac{6.022 \cdot 10^{23} \ formula \ units \ Ba(NO_3)_2}{1 \ mol \ Ba(NO_3)_2})[/tex]
  2. [DA] Divide/Multiply [Cancel out units]:                                                          [tex]\displaystyle 4.97705 \cdot 10^{23} \ formula \ units \ Ba(NO_3)_2[/tex]

Step 4: Check

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

4.97705 × 10²³ formula units Ba(NO₃)₂ ≈ 4.98 × 10²³ formula units Ba(NO₃)₂

Answer:

Explanation:

Given 216g Ba(NO₃)₂ = 216g/261.34g/mol = 0.827mol

0.827mol = 0.827mol x 6.023 x 10²³molecules/mol

= 4.978066886 x 10²³ molecules (calc. ans.)

≅ 4.98 x 10²³ molecules (3 sig. figs. based on given 216g Ba(NO₂)₃)