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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)?

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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.

This problem has been solved

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