Calculate the weight (g) of aluminium in 264 mmol of aluminium acetate (Al(CH3COO)3, Molar mass 204.1).
The Correct Answer and Explanation is :
To calculate the weight of aluminum in 264 mmol of aluminum acetate (Al(CH₃COO)₃), we need to follow these steps:
Step 1: Understanding the Compound
The chemical formula of aluminum acetate is Al(CH₃COO)₃. Each molecule of aluminum acetate consists of one aluminum atom (Al) and three acetate ions (CH₃COO⁻).
The molar mass of aluminum acetate is given as 204.1 g/mol. This means that 1 mole of aluminum acetate weighs 204.1 grams.
Step 2: Finding the Moles of Aluminum
The molar mass of aluminum acetate is 204.1 g/mol, and we are given 264 mmol (millimoles) of aluminum acetate. To convert mmol to moles:
[
264 \, \text{mmol} = 264 \times 10^{-3} \, \text{mol} = 0.264 \, \text{mol}
]
Step 3: Aluminum in the Molecule
In one molecule of aluminum acetate, there is exactly one aluminum atom. Therefore, for every mole of aluminum acetate, we have one mole of aluminum.
So, in 0.264 moles of aluminum acetate, we will have 0.264 moles of aluminum.
Step 4: Calculating the Mass of Aluminum
The molar mass of aluminum (Al) is 26.98 g/mol. To find the mass of aluminum in 0.264 moles of aluminum, we use the formula:
[
\text{Mass of Aluminum} = \text{Moles of Aluminum} \times \text{Molar Mass of Aluminum}
]
[
\text{Mass of Aluminum} = 0.264 \, \text{mol} \times 26.98 \, \text{g/mol}
]
[
\text{Mass of Aluminum} = 7.12 \, \text{g}
]
Final Answer:
The weight of aluminum in 264 mmol of aluminum acetate is 7.12 grams.
Explanation:
The key idea here is to first determine the amount of moles of aluminum acetate and then find how much aluminum is present in that quantity. Since each formula unit of aluminum acetate contains one atom of aluminum, the number of moles of aluminum will be the same as the number of moles of aluminum acetate. By using the molar mass of aluminum (26.98 g/mol), we can calculate the total mass of aluminum in the given amount of aluminum acetate.
The key points are:
- Convert mmol to mol.
- Understand that each molecule of aluminum acetate has one aluminum atom.
- Use the molar mass of aluminum to find the mass.
Now, let’s generate an image to visually represent the calculation process.
Here is the visual representation of the step-by-step calculation for finding the weight of aluminum in aluminum acetate. It explains the process of converting from mmol to moles, determining the number of aluminum atoms in aluminum acetate, and calculating the mass of aluminum.
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