   # A 0.755-g sample of hydrated copper(II) sulfate CuSo 4 ⋅ x H 2 O was heated carefully until it had changed completely to anhydrous copper(II) sulfate (CuSO 4 ) with a mass of 0.4183 g. Determine the value of x. [This number is called the number of waters of hydration of copper(II) sulfate. It specifies the number of water molecules per formula unit ofCuSO 4 in the hydrated crystal.] ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 5, Problem 141AE
Textbook Problem
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## A 0.755-g sample of hydrated copper(II) sulfate CuSo 4 ⋅ x H 2 O was heated carefully until it had changed completely to anhydrous copper(II) sulfate (CuSO4 ) with a mass of 0.4183 g. Determine the value of x. [This number is called the number of waters of hydration of copper(II) sulfate. It specifies the number of water molecules per formula unit ofCuSO4 in the hydrated crystal.]

Interpretation Introduction

Interpretation: A 0.755g sample of hydrated copper (II) sulfate (CuSO4xH2O) is given. It is heated till it gets converted to anhydrous copper (II) sulfate. The value of x is to be calculated.

Concept introduction: The number of moles of a substance is calculated by the formula,

Numberofmoles=GivenmassofthesubstanceMolarmassofthesubstance

To determine: The value of x in CuSO4xH2O .

### Explanation of Solution

Given

The mass of CuSO4xH2O is 0.755g .

The mass of CuSO4 is 0.483g .

The mass of water can be calculated by the formula,

Massofwater=MassofCuSO4xH2OMassofCuSO4

Substitute the value of the mass of CuSO4xH2O and the mass of CuSO4 in the above expression.

Massofwater=(0.7550.483)g=0.272g

The molar mass of H2O =2H+O=((2×1)+16)g/mol=18g/mol

The molar mass of CuSO4 =Cu+S+4O=(63.5+32+(4×16))g/mol=159.5g/mol

Formula

The number of moles of a substance is calculated by the formula,

Numberofmoles=GivenmassofthesubstanceMolarmassofthesubstance

Substitute the value of the given mass and the molar mass of water and CuSO4 in the above expression

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