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Answer :
Final answer:
To determine the number of atoms of O in 36.3 moles of Al₂(CO3)3, you can use the mole ratio and Avogadro's number. The calculation yields 6.554 x 10^25 atoms O.
Explanation:
To determine the number of atoms of oxygen (O) in 36.3 moles of Al₂(CO3)3, we need to calculate the number of moles of O in one mole of Al₂(CO3)3 and then multiply that by the number of moles of Al₂(CO3)3. Al₂(CO3)3 contains 3 atoms of oxygen per molecule. The molar mass of Al₂(CO3)3 is 2(27.0) + 3(12.0) + 9(16.0) = 396.0 g/mol.
Using the mole ratio, we can set up the following calculation:
36.3 mol Al₂(CO3)3 x (3 mol O / 1 mol Al₂(CO3)3) = 108.9 mol O
Finally, we can convert the moles of O to the number of atoms using Avogadro's number:
108.9 mol O x (6.022 x 10^23 atoms/mol) = 6.554 x 10^25 atoms O
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Final answer:
To determine the number of atoms of O in 36.3 moles of Al₂(CO3)3, calculate the molar mass of the compound and use Avogadro's number to convert moles to atoms of O.
Explanation:
To determine the number of atoms of O in 36.3 moles of Al₂(CO3)3, we can start by calculating the molar mass of Al₂(CO3)3. The molar mass of Al₂(CO3)3 can be calculated by summing the molar masses of each element in the compound.
The molar mass of Al is 26.98 g/mol, the molar mass of C is 12.01 g/mol, and the molar mass of O is 16.00 g/mol. Thus, the molar mass of Al₂(CO3)3 is (2 x 26.98 g/mol) + (3 x (12.01 g/mol + 3 x 16.00 g/mol)).
Then, we can use Avogadro's number, which is approximately 6.022 x 10^23, to convert moles of Al₂(CO3)3 to the number of atoms of O. Multiply the number of moles of Al₂(CO3)3 by Avogadro's number to get the number of formula units of Al₂(CO3)3, and multiply that by 3 (the coefficient of O in the formula) to get the number of atoms of O.
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