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Morgarella [4.7K]
4 years ago
7

If I add 25 grams of Fe(OH)2 to 25 ml of water, what is the percent by mass of Iron (II) hydroxide in this solution?

Chemistry
1 answer:
dybincka [34]4 years ago
7 0

Answer:

50%

Explanation:

Step 1: Calculate the mass of water

Since we don't know the actual temperature at which the solution is prepared, we will assume the density of water is about 1 g/mL.

25mL \times \frac{1g}{1mL} = 25g

Step 2: Calculate the mass of the solution

The mass of the solution is the sum of the mass of the solute (Iron (III) hydroxide) and the mass of the solvent (water).

m(solution) = m(solute) + m(solvent)\\m(solution) = 25 g + 25 g = 50g

Step 3: Calculate the percent by mass of Iron (III) hydroxide in the solution

\frac{m(Fe(OH)_3)}{m(solution)} \times 100\% = \frac{25g}{50g} \times 100\% = 50\%

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<h3>Answer:</h3>

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<h3>General Formulas and Concepts:</h3>

<u>Math</u>

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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<u>Atomic Structure</u>

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<u>Step 1: Define</u>

[RxN - Unbalanced] AgNO₃ + ZnCl₂ → AgCl + Zn(NO₃)₂

↓

[RxN - Balanced] 2AgNO₃ + ZnCl₂ → 2AgCl + Zn(NO₃)₂

[Given] 2.4 mol ZnCl₂

[Solve] <em>x</em> g AgCl

<u>Step 2: Identify Conversions</u>

[RxN] 1 mol ZnCl₂ → 2 mol AgCl

[PT] Molar Mass of Ag - 107.87 g/mol

[PT] Molar Mass of Cl - 35.45 g/mol

Molar Mass of AgCl - 107.87 + 35.45 = 143.32 g/mol

<u>Step 3: Stoich</u>

  1. [DA] Set up:                                                                                                      \displaystyle 2.4 \ mol \ ZnCl_2(\frac{2 \ mol \ AgCl}{1 \ mol \ ZnCl_2})(\frac{143.32 \ g \ AgCl}{1 \ mol \ AgCl})
  2. [DA] Multiply/Divide [Cancel out units]:                                                          \displaystyle 687.936 \ g \ AgCl

<u>Step 4: Check</u>

<em>Follow sig fig rules and round. We are given 2 sig figs.</em>

687.936 g AgCl ≈ 690 g AgCl

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