Titanium dioxide (TiO2), the substance used as the pigment in white paint, is prepared industrially by reaction of TiCl4 with O2 at high temperature. TiCl4 + O2 --> (heat) TiO2 + 2 Cl2 How many kilograms of TiO2 can be prepared from 5.60 kg of TiCl4?

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Convert the mass of TiCl4 from kilograms to grams by multiplying by 1000.

Calculate the molar mass of TiCl4 by adding the atomic masses of Ti and Cl (Ti: 47.87 g/mol, Cl: 35.45 g/mol).

Determine the number of moles of TiCl4 by dividing the mass in grams by the molar mass of TiCl4.

Use the stoichiometry of the balanced chemical equation to find the moles of TiO2 produced from the moles of TiCl4. The molar ratio of TiCl4 to TiO2 is 1:1.

Calculate the mass of TiO2 produced by multiplying the moles of TiO2 by its molar mass (Ti: 47.87 g/mol, O: 16.00 g/mol) and convert the result from grams to kilograms by dividing by 1000.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on the balanced chemical equation. It allows us to determine the amount of product formed from a given amount of reactant by using mole ratios derived from the coefficients in the balanced equation.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is essential for converting between the mass of a substance and the number of moles, which is necessary for stoichiometric calculations in chemical reactions.

Limiting Reactant

The limiting reactant is the substance that is completely consumed first in a chemical reaction, thus determining the maximum amount of product that can be formed. Identifying the limiting reactant is crucial for accurately calculating the yield of the desired product.

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