The active ingredient of some antiperspirants is \(\mathrm{Al}_{2}(\mathrm{OH})_{5} \mathrm{Cl} .\) Calculate the mass percent of each element in this ingredient.

Short Answer

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Question: Find the mass percent of each element in the compound Al₂(OH)₅Cl. Answer: To find the mass percent of each element in the compound Al₂(OH)₅Cl, perform the following steps: 1. Calculate the molar mass of Al₂(OH)₅Cl: (2 × 26.98 g/mol) + (5 × ((1 × 16.00 g/mol) + (1 × 1.01 g/mol))) + (1 × 35.45 g/mol) 2. Determine the mass of each element in the compound: - Mass of Al: 2 × 26.98 g/mol - Mass of O: 5 × 16.00 g/mol - Mass of H: 5 × 1.01 g/mol - Mass of Cl: 1 × 35.45 g/mol 3. Calculate the mass percent of each element using their respective masses and the molar mass of Al₂(OH)₅Cl: - Mass percent of Al: (2 × 26.98 g/mol) / molar mass of Al₂(OH)₅Cl × 100% - Mass percent of O: (5 × 16.00 g/mol) / molar mass of Al₂(OH)₅Cl × 100% - Mass percent of H: (5 × 1.01 g/mol) / molar mass of Al₂(OH)₅Cl × 100% - Mass percent of Cl: (1 × 35.45 g/mol) / molar mass of Al₂(OH)₅Cl × 100% After performing these steps and calculations, you will obtain the mass percent of each element in Al₂(OH)₅Cl.

Step by step solution

01

Find the molar mass of Al₂(OH)₅Cl

To find the molar mass of the compound, we need to add the molar masses of all the elements present in the compound multiplied by their respective number of atoms. The molar masses of the elements are: - Al: 26.98 g/mol - O: 16.00 g/mol - H: 1.01 g/mol - Cl: 35.45 g/mol So, the molar mass of Al₂(OH)₅Cl is: (2 × 26.98 g/mol) + (5 × ((1 × 16.00 g/mol) + (1 × 1.01 g/mol))) + (1 × 35.45 g/mol)
02

Calculate the mass of each element in the compound

Now that we have the molar mass of Al₂(OH)₅Cl, we will find the mass of each element in the compound. - Mass of Al: 2 × 26.98 g/mol - Mass of O: 5 × 16.00 g/mol - Mass of H: 5 × 1.01 g/mol - Mass of Cl: 1 × 35.45 g/mol
03

Calculate the mass percent of each element

To find the mass percent of each element, we will divide the mass of each element by the molar mass of Al₂(OH)₅Cl and then multiply by 100. - Mass percent of Al: (2 × 26.98 g/mol) / molar mass of Al₂(OH)₅Cl × 100% - Mass percent of O: (5 × 16.00 g/mol) / molar mass of Al₂(OH)₅Cl × 100% - Mass percent of H: (5 × 1.01 g/mol) / molar mass of Al₂(OH)₅Cl × 100% - Mass percent of Cl: (1 × 35.45 g/mol) / molar mass of Al₂(OH)₅Cl × 100% Perform the calculations for each of the mass percent values above using the calculated molar mass of Al₂(OH)₅Cl from Step 1, and you will have the mass percent of each element in the compound.

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