   Chapter 2, Problem 146GQ

Chapter
Section
Textbook Problem

A metal M forms a compound with the formula MCl4. If the compound is 74.75% chlorine, what is the identity of M?

Interpretation Introduction

Interpretation: The metal M in the given compound MCl4 has to be identified using the given data that compound is 74.75% chlorine.

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.
• From given mass of substance moles could be calculated by using the following formula,

Molesofsubstance GivenmassofsubstanceMolecularmass

• Periodic Table: The available chemical elements are arranged considering their atomic number, the electronic configuration and their properties. The elements placed on the left of the table are metals and non-metals are placed on right side of the table.
Explanation

Given,

A metal M forms a compound with the formula MCl4. In this compound chlorine is 74.75% by mass.

Then the molar mass of chlorine in the compound is,

4×35.45g/mol=141.8g/mol

Total molar mass of the compound can be determined as follows,

100%×141.8g/mol74.75%= 189.7g/mol

From these two molar masses the molar mass of the metal M can be calculated.

MolarmassofMetalM=

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