Chapter 2, Problem 123GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# wCalculate the molar mass and the mass percent of each element in the blue solid compound Cu(NH3)4SO4 · H2O. What is the mass of copper and the mass of water in 10.5 g of the compound?

Interpretation Introduction

Interpretation: The Molar mass, mass percent of each elements and the mass of copper and water in 10.5g of the given compound should be calculated.

Concept Introduction:

• Mass=Density×Volume
• Moleofsubstance=GramofsubstanceMolarmass
• 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)
• 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.
Explanation

The molar mass of the given compound is as follows,

Molecular formula of the given compound is Cu(NH3)4SO4.H2O

Molar mass of Cu(NH3)4SO4.H2O can be calculated as follows,

(1Ã—63.55â€‰â€‰g/molmolarâ€‰massâ€‰â€‰â€‰ofâ€‰â€‰Cu)+(4Ã—17.031molarâ€‰massâ€‰â€‰ofâ€‰â€‰NH3)â€‰+â€‰(1Ã—96.06molarâ€‰â€‰massâ€‰â€‰ofâ€‰â€‰SO4)â€‰+â€‰(1Ã—18.01molarâ€‰massâ€‰â€‰ofâ€‰H2O)â€‰=â€‰â€‰245.75â€‰â€‰g/mol

The mass percent of each element in Cu(NH3)4SO4.H2O is as follows,

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 molecular formula of the given compound is Cu(NH3)4SO4.H2O

And this compound contains 1â€‰â€‰Copper,â€‰4â€‰nitrogen,â€‰5â€‰oxygen,â€‰14â€‰hydrogenâ€‰andâ€‰â€‰1â€‰sulfur

Molar mass of Copper is 1â€Šâ€‰Ã—â€‰Â 63.55â€‰=â€‰â€‰63.55â€‰g/molâ€‰

Mass percent of copper in Cu(NH3)4SO4.H2O calculated as follows,

Cuâ€‰inâ€‰Cu(NH3)4SO4.H2Oâ€‰â€‰=â€‰â€‰Molarâ€‰â€‰massâ€‰â€‰ofâ€‰â€‰copperMolarâ€‰â€‰massâ€‰â€‰ofâ€‰â€‰Cu(NH3)4SO4.H2Oâ€‰â€‰â€‰Ã—100% â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰63.55245.75â€‰Ã—100% â€‰â€‰â€‰â€‰â€‰â€‰=â€‰25.86â€‰%

Similarly, Molar mass of Nitrogen in compound is 4â€‰Ã—14â€‰=â€‰â€‰56â€‰g/molâ€‰

Massâ€‰â€‰percentâ€‰â€‰ofâ€‰â€‰Nitrogenâ€‰â€‰inâ€‰â€‰C18H27NO3â€‰â€‰=â€‰â€‰Molarâ€‰â€‰massâ€‰â€‰ofâ€‰â€‰NitrogenMolarâ€‰â€‰massâ€‰â€‰ofâ€‰â€‰Cu(NH3)4SO4.H2Oâ€‰Ã—100% =â€‰â€‰56245.75â€‰Ã—100 %â€‰â€‰â€‰â€‰â€‰=â€‰22.8%

Molar mass of Hydrogen in the given compound is 1â€‰Ã—14â€‰=â€‰â€‰14â€‰g/molâ€‰

Massâ€‰â€‰percentâ€‰â€‰ofâ€‰â€‰nirogenâ€‰â€‰inâ€‰â€‰Cu(NH3)4SO4

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