calculate mass in kilograms of 5 moles of aluminium sulphate, AI2 (SO4)3 .( A1=27,S=32,O=16)?
Question
calculate mass in kilograms of 5 moles of aluminium sulphate, AI2 (SO4)3
. ( A1=27,S=32,O=16)?
Solution
Sure, let's calculate the mass of 5 moles of aluminium sulphate (Al2(SO4)3).
Step 1: Calculate the molar mass of aluminium sulphate (Al2(SO4)3).
The molar mass of Al2(SO4)3 is calculated as follows:
- Aluminium (Al) has a molar mass of 27 g/mol. Since there are 2 aluminium atoms in Al2(SO4)3, the total mass contributed by aluminium is 27 * 2 = 54 g/mol.
- Sulphur (S) has a molar mass of 32 g/mol. Since there are 3 sulphur atoms in Al2(SO4)3 (one in each SO4), the total mass contributed by sulphur is 32 * 3 = 96 g/mol.
- Oxygen (O) has a molar mass of 16 g/mol. Since there are 12 oxygen atoms in Al2(SO4)3 (four in each SO4), the total mass contributed by oxygen is 16 * 12 = 192 g/mol.
Adding these together, the molar mass of Al2(SO4)3 is 54 + 96 + 192 = 342 g/mol.
Step 2: Convert the molar mass to kg/mol.
1 g = 0.001 kg, so 342 g/mol = 342 * 0.001 = 0.342 kg/mol.
Step 3: Calculate the mass of 5 moles of Al2(SO4)3.
The mass of 5 moles of Al2(SO4)3 is calculated by multiplying the number of moles by the molar mass:
5 moles * 0.342 kg/mol = 1.71 kg.
So, the mass of 5 moles of aluminium sulphate is 1.71 kilograms.
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