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Liula [17]
4 years ago
5

Aluminum ions react with carbonate ions to form an insoluble compound, aluminum carbonate. (a) Write the net ionic equation for

this reaction. (b) What is the molarity of a solution of aluminum chloride if 30.0 mL is required to react with 35.5 mL of 0.137 M sodium carbonate? (c) How many grams of aluminum carbonate are formed in (b)
Chemistry
1 answer:
bazaltina [42]4 years ago
7 0

(a) Al³⁺ (aq) + CO₃²⁻ (aq) → Al₂(CO₃)₃ (s)

(b) molar concentration of AlCl₃ = 0.108 M

(c) mass of Al₂(CO₃)₃ = 0.379 g

Explanation:

(a) net ionic equation:

Al³⁺ (aq) + CO₃²⁻ (aq) → Al₂(CO₃)₃ (s)

where:

(aq) - aqueous

(s) - solid

(b) chemical equation

2 AlCl₃ + 3 Na₂CO₃ → Al₂(CO₃)₃ + 6 NaCl

molar concentration = number of moles / volume

number of moles = molar concentration × volume

number of moles of Na₂CO₃ = 0.137 M × 35.5 mL = 4.86 mmoles

Talking in account the chemical reaction we devise the following reasoning:

if       2 mmoles of AlCl₃ react with 3 mmoles of Na₂CO₃

then  X mmoles of AlCl₃ react with 4.86 mmoles of Na₂CO₃

X = (2 × 4.86) / 3 = 3.24 mmoles of AlCl₃

molar concentration = number of moles / volume

molar concentration of AlCl₃ = 3.24 mmoles / 30 mL

molar concentration of AlCl₃ = 0.108 M

(c) Talking in account the chemical reaction we devise the following reasoning:

if        2 mmoles of AlCl₃ produces with 1 mmole of Al₂(CO₃)₃

then  3.24 mmoles of AlCl₃ react with Y mmoles of Al₂(CO₃)₃

Y = (3.24 × 1) / 2 = 1.62 mmoles of Al₂(CO₃)₃

number of moles = mass / molecular weight

mass = number of moles × molecular weight

mass of Al₂(CO₃)₃ = 1.62 × 234 = 379 mg = 0.379 g

Learn more about:

molar concentration

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<h3>Explanation</h3>

Concentration for each of the species:

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There was no Y to start with; its concentration could only have increased. Let the change in [\text{Y}] be +x \; \text{mol}\cdot \text{dm}^{-3}.

Make a \textbf{RICE} table.

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\begin{array}{l|ccccc}\textbf{R}\text{eaction}&2\; \text{X}\; (g) & + &\text{Y}\; (g) & \rightleftharpoons &2 \; \text{Z}\; (g)\\\textbf{I}\text{nitial Condition}\; (\text{mol}\cdot\text{dm}^{-3})& 2 & &0 & & 3 \\\textbf{C}\text{hange in Concentration}\; (\text{mol}\cdot\text{dm}^{-3})\;& +2\;x & &+x &&-2\;x\\\textbf{E}\text{quilibrium Condition}\; (\text{mol}\cdot\text{dm}^{-3})& & &&&\end{array}.

Add the value in the C row to the I row:

\begin{array}{l|ccccc}\textbf{R}\text{eaction}&2\; \text{X}\; (g) & + &\text{Y}\; (g) & \rightleftharpoons &2 \; \text{Z}\; (g)\\\textbf{I}\text{nitial Condition}\; (\text{mol}\cdot\text{dm}^{-3})& 2 & &0 & & 3 \\\textbf{C}\text{hange in Concentration}\; (\text{mol}\cdot\text{dm}^{-3})\;& +2\;x & &+x &&-2\;x\\\textbf{E}\text{quilibrium Condition}\; (\text{mol}\cdot\text{dm}^{-3})& 2 + 2\;x & &x&&3-2\;x\end{array}.

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