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Ex 2: Aluminium chloride reacts with tin(IV)oxide to producealuminium oxide and tin(IV)chloride.a) What mass of aluminium chloride is required to react with1.00 g of the tin oxide?b) What mass of each product would you expect from thereaction in (a)?Follow Up Problems3.8Problems3.61, 63, 65, 67

Question

Ex 2: Aluminium chloride reacts with tin(IV)oxide to producealuminium oxide and tin(IV)chloride.a) What mass of aluminium chloride is required to react with1.00 g of the tin oxide?b) What mass of each product would you expect from thereaction in (a)?Follow Up Problems3.8Problems3.61, 63, 65, 67

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Solution

To solve this problem, we first need to write down the balanced chemical equation for the reaction:

2AlCl3 + SnO2 → 2Al2O3 + SnCl4

a) To find the mass of aluminium chloride required to react with 1.00 g of tin(IV) oxide, we first need to find the molar mass of SnO2 and AlCl3.

The molar mass of SnO2 is approximately 150.71 g/mol (118.71 g/mol for Sn and 32.00 g/mol for O2).

The molar mass of AlCl3 is approximately 133.34 g/mol (26.98 g/mol for Al and 35.45 g/mol for Cl3).

Next, we calculate the number of moles of SnO2 in 1.00 g:

1.00 g SnO2 * (1 mol SnO2 / 150.71 g SnO2) = 0.00664 mol SnO2

From the balanced equation, we know that 2 moles of AlCl3 react with 1 mole of SnO2. Therefore, we need:

0.00664 mol SnO2 * (2 mol AlCl3 / 1 mol SnO2) = 0.0133 mol AlCl3

Finally, we convert this amount to grams:

0.0133 mol AlCl3 * (133.34 g AlCl3 / 1 mol AlCl3) = 1.77 g AlCl3

So, 1.77 g of aluminium chloride is required to react with 1.00 g of tin(IV) oxide.

b) To find the mass of each product, we use the stoichiometry of the balanced equation. For every 2 moles of AlCl3 that react, we get 2 moles of Al2O3 and 1 mole of SnCl4.

The molar mass of Al2O3 is approximately 101.96 g/mol (26.98 g/mol for Al and 16.00 g/mol for O3).

The molar mass of SnCl4 is approximately 260.52 g/mol (118.71 g/mol for Sn and 35.45 g/mol for Cl4).

So, the mass of Al2O3 produced is:

0.0133 mol AlCl3 * (1 mol Al2O3 / 1 mol AlCl3) * (101.96 g Al2O3 / 1 mol Al2O3) = 1.36 g Al2O3

And the mass of SnCl4 produced is:

0.0133 mol AlCl3 * (1 mol SnCl4 / 2 mol AlCl3) * (260.52 g SnCl4 / 1 mol SnCl4) = 1.73 g SnCl4

So, we would expect 1.36 g of aluminium oxide and 1.73 g of tin(IV) chloride from the reaction.

This problem has been solved

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