   Chapter 4, Problem 96GQ

Chapter
Section
Textbook Problem

Titanium(IV) oxide, TiO2, is heated in hydrogen gas to give water and a new titanium oxide. TixOy If 1.598 g of TiO2 produces 1.438 g of TixOy, what is the empirical formula of the new oxide?

Interpretation Introduction

Interpretation:

The empirical formula of new titanium oxide compound TixOy formed by heating TiO2 in hydrogen gas has to be determined.

Concept introduction:

• Empirical formula of a compound represents the smallest whole number relative ratio of elements in that compound.
• Equation for finding Molecular formula from the empirical formula,

MolarmassEmpiricalformula mass × Empirical formula

• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
Explanation

Given that Titanium (IV) oxide TiO2, is heated in hydrogen gas to give water and a new titanium oxide TixOy.

Herein 1.598 g of TiO2 produces 1.438g of TixOy.

To determine the empirical formula of the new titanium oxide compound amount of TiO2 and amount of oxygen should be known.

amount of TiO2 available = 1.598g79.87g/mol = 0.2001molTiO2

For one mole of TiO2 there exist 2molofO and amount of O2=0.04002mol

After heating with hydrogen gas, mass of TiO2 = 1.428g

So there was loss in mass of oxygen in Titanium oxide compound, which is equivalent to 1.598g1.428g=0.17g

To find the empirical formula of new titanium oxide amount of remaining oxygen should be known.

Thus,

Amount of oxygen =0

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