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Question

Calculate the no. of aluminium atoms [ions]. present in 0.051 gm aluminium chloride. [atomic mass of aluminium =27.

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Solution

Aluminum chloride has the molecular formula of AlCl3 .
Atomic mass of aluminum = 26.98 g/mol
Atomic mass of chlorine = 35.5 g/mol
The molecular mass of aluminium chloride is = 26.98 + (3 × 35.5)
= 133.48 g/mol
Number of moles = given mass/ molar mass
Number of moles in 0.051g of AlCl3 = 0.051/133.48
= 0.00038 mol
As 1 mole AlCl3 contains 1 mole Al.So, 0.00038 mole of AlCl3 contains = 0.00038×1 = =0.00038 mol Al
As 1 mole = 6.022 ×1023 ions
Therefore, 0.00038 mol of AlCl3 = 6.022 × 1023 × 0.00038
= 2.29 × 1020 ions
Hence 0.051 g of AlCl3 contains 2.29 ×1020 ions.

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