   Chapter 2, Problem 161IL

Chapter
Section
Textbook Problem

Tin metal (Sn) and purple iodine (I2) combine to form orange, solid tin iodide with an unknown formula.Sn metal + solid I2 → solid SnxIyWeighed quantities of Sn and I2 are combined, where the quantity of Sn is more than is needed to react with all of the iodine. After SnxIy has been formed, it is isolated by filtration. The mass of excess tin is also determined. The following data were collected:Mass of tin (Sn) in the original mixture 1.056 gMass of iodine (I2) in the original mixture 1.047 gMass of tin (Sn) recovered after reaction 0.601 gWhat is the empirical formula of the tin iodide obtained?

Interpretation Introduction

Interpretation: The empirical formula tin iodide obtained in the given reaction should be determined under given conditions.

Concept introduction:

• Empirical formula of a compound represents the smallest whole number relative ratio of elements in that compound.
• 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

Mass: It is the quantitative measure of a substance. The amount of matter present in substance is expressed as mass. The S.I. unit of mass is kg.

Molar mass: It is obtained by dividing the mass of substance with the amount of substance and the S.I. unit of molar mass is kg/mol. It is numerically equal to the molecular weight since molecular weight is sum of all individual atom weight present in molecule which is represented in amu.

Explanation

Given,

Equation for the reaction is,

Snmetal+solidI2SolidSnxIy

Mass of tin in the original mixture         1.056 gMass of iodine in the original mixture  1.947gMassoftinrecoveredafterreaction 0.601g

Mass of tin combined with 1.947gI2 is 0.455g.

Equation for number moles from mass and molar mass is,

Numberofmoles=MassingramsMolarmass

Therefore,

The number of moles of tin is,

Numberofmoles=0.455g118

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