   # If Epsom salt, MgSO 4 · x H 2 O, is heated to 250 °C, all the water of hydration is lost. On heating a 1.687-g sample of the hydrate, 0.824 g of MgSO 4 remains. How many molecules of water occur per formula unit of MgSO 4 ? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2, Problem 157IL
Textbook Problem
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## If Epsom salt, MgSO4 · x H2O, is heated to 250 °C, all the water of hydration is lost. On heating a 1.687-g sample of the hydrate, 0.824 g of MgSO4 remains. How many molecules of water occur per formula unit of MgSO4?

Interpretation Introduction

Interpretation: The number of water molecules per formula of MgSO4 has to be calculated from the given data’s of Epson salt.

Concept introduction:

• Conversion formula for mass of a molecule and number moles,

Numberofmoles=MassingramsMolarmass

• Molar mass of a molecule can be calculated from its molecular formula by taking the sum of atomic masses of all the elements present in it.
• 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.
• 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.

### Explanation of Solution

Given,

The mass of hydrated sample is 1.687g.

The mass of dehydrated sample is 0.824g.

Therefore,

The mass of water molecules in the sample is 1.687g0.824g=0.863g

Equation for finding number moles from mass of a molecule and molar mass is,

Numberofmoles=MassingramsMolarmass

Therefore,

The number of moles of water molecule is,

Numberofmoles=0.863g18g=0

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