   Chapter 2, Problem 148GQ

Chapter
Section
Textbook Problem

The weight percent of oxygen in an oxide that has the formula MO2 is 15.2%. What is the molar mass of this compound? What element or elements are possible for M?

Interpretation Introduction

Interpretation: The metal M in the given compound MO2 has to be identified and the molar mass of the compound should be calculated.

Concept introduction:

• Mass percentage is one way to represent the concentration of an element in a compound or a component in a mixture. Mass percent of elements of a compound is the ratio of mass of element to the mass of whole compound and multiplied with hundred.
• 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). Using molar mass an element or a compound can be identified.
• Moles: One mole is equivalent to the mass of the substance consists same number of units equal to the atoms present in 12g of 12C.
• The mole is actually quantity of particles that is Avogadro’s number of particles present in elements or compounds.
• The sum of mass of all atoms present in formula of chemical substance is referred as molecular or formula weight of that substance.
Explanation

Given,

A metal M forms a compound with the formula MO2. In this compound oxygen has 15.2% by mass.

Mass percent of an element means, 100g of compound contains that mass percent of an element in grams. Therefore, 15.2g of O2 and 84.8g(totalmassoftheproductmassofoxygen) of Metal M are present respectively in 100g of MO2.

The molecular mass of M can be calculated by knowing the relation that,

Molar mass of oxygen in 15.2%=32g/molthenin84

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