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Question

How many grams of titanium (IV) oxide can be produced when 80 g of TiCl4 is made to react with 20 g of O2 as shown in the following equation? (Molar mass of titanium = 48 g/mol)
TiCl4(s)+O2(g)TiO2(s)+2Cl2(g)

A
88 g
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B
130 g
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C
34 g
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D
50 g
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Solution

The correct option is C 34 g
The balanced equation for the reaction of TiCl4 with O2 is as follows.
TiCl4(s)+O2(g)TiO2(s)+2Cl2(g)
Moles of O2=given massmolar mass=2032=0.625 moles
Moles of TiCl4=given massmolar mass=80190 = 0.421 moles
1 mole of O2 reacts with 1 mole of TiCl4
0.625 moles of O2 will react with 0.625 mole of TiCl4.
Therefore, TiCl4 is the limiting reagent.
1 mole of TiCl4 produces 1 mole of TiO2
0.421 moles of TiCl4 will produce 0.421 moles of TiO2
Mass of TiO2 formed = 0.421 moles × molar mass of TiO2=0.421×80 g
Mass of TiO2 formed = 33.68 g ~ 34 g

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