Respuesta :

The mass of TiO₂ produced is 2.21 Kg  

We'll begin by writing the balanced equation for the reaction. This can be obtained as follow:

TiCl₄ + O₂ —> TiO₂ + 2Cl₂

Next, we shall determine the mass of TiCl₄ that reacted and the mass of TiO₂ produced from the balanced equation.

This can be obtained as follow:

Molar mass of TiCl₄ = 47.87 + (35.5×4)

= 47.87 + 142

= 189.87 g/mol

Mass of TiCl₄ from the balanced equation = 1 × 189.87 = 189.87 g

Divide by 1000 to express in Kg => 189.87 / 1000 = 0.18987 kg

Molar mass of TiO₂ = 47.87 + (16×2)

= 47.87 + 32

= 79.87 g/mol

Mass of TiO₂ from the balanced equation = 1 × 79.87 = 79.87 g

Divide by 1000 to express in Kg => 79.87 / 1000 =  0.07987 Kg

SUMMARY:

From the balanced equation above,

0.18987 kg of TiCl₄ reacted to produce

0.07987 Kg of TiO₂.

Finally, we shall determine the mass of TiO₂ produced by the reaction of 5.25 kg of TiCl₄. This can be obtained as follow:

From the balanced equation above,

0.18987 kg of TiCl₄ reacted to produce

0.07987 Kg of TiO₂.

Therefore, 5.25 kg of TiCl₄ will react to produce = [tex]\frac{5.25 * 0.07987}{0.18987}\\\\[/tex] = 2.21 Kg of TiO₂.

Thus, 2.21 Kg of TiO₂ were obtained from the reaction.

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