
(a)
Interpretation:
The water of hydration for the compound NiCl2⋅XH2O is to be calculated which contains 21.7% water. The chemical formula of the compound NiCl2⋅XH2O is to be stated.
Concept introduction:
The water of crystallization is the number of water molecules present in crystals compounds. The water of crystallization is also known as water of hydration. The water molecules present in the crystal helps the crystal to impart color. These water molecules can be easily removed from the crystal by heating them.

Answer to Problem 78E
The water of hydration for the compound NiCl2⋅XH2O is 2 and the chemical formula of the compound is NiCl2⋅2H2O.
Explanation of Solution
The compound NiCl2⋅XH2O contains 21.7% water. Therefore, 100 g of the compound will have 21.7 g of water in it.
The mass of NiCl2 unit in 100 g of the compound is calculated as shown below.
mNiCl2=100 g−21.7 g=78.3 g
The molar mass of water is 18.02 g/mol.
The molar mass of NiCl2 is 129.5994 g/mol.
The number of moles of a substance is given by the expression as shown below.
n=mM …(1)
Where,
• m is the mass of the substance.
• M is the molar mass of the substance.
Substitute the values of mass and molar mass of water in the equation (1).
n=21.7 g18.02 g/mol=1.2042 mol
Substitute the values of mass and molar mass of NiCl2 in the equation (1).
n=78.3 g129.5994 g/mol=0.6019 mol
The molar ratio of NiCl2:H2O can be obtained by dividing the number of moles with the lowest number of mole that is 0.6019 mol.
NiCl2:H2O=0.6019 mol0.6019 mol:1.2042 mol0.6019 molNiCl2:H2O=1:2.001NiCl2:H2O≈1:2
Therefore, the water of hydration for the compound NiCl2⋅XH2O is 2 and the chemical formula of the compound is NiCl2⋅2H2O.
The water of hydration for the compound NiCl2⋅2H2O is to 2.
(b)
Interpretation:
The water of hydration for the compound Ni(NO3)2⋅XH2O is to be calculated which contains 37.2% water. The chemical formula of the compound Ni(NO3)2⋅XH2O is to be stated.
Concept introduction:
The water of crystallization is the number of water molecules present in crystals compounds. The water of crystallization is also known as the water of hydration. The water molecules present in the crystal helps the crystal to impart color. These water molecules can be easily removed from the crystal by heating them.

Answer to Problem 78E
The water of hydration for the compound Ni(NO3)2⋅XH2O is 6 and the chemcial formula of the compound is Ni(NO3)2⋅6H2O.
Explanation of Solution
The compound Ni(NO3)2⋅XH2O contains 37.2% water. Therefore, 100 g of the compound will have 37.2 g of water in it.
The mass of Ni(NO3)2 unit in 100 g of the compound is calculated as shown below.
mNi(NO3)2=100 g−37.2 g=62.8 g
The molar mass of water is 18.02 g/mol.
The molar mass of Ni(NO3)2 is 182.7032 g/mol.
The number of moles of a substance is given by the expression as shown below.
n=mM … (1)
Where,
• m is the mass of the substance.
• M is the molar mass of the substance.
Substitute the values of mass and molar mass of water in the equation (1).
n=37.2 g18.02 g/mol=2.064 mol
Substitute the values of mass and molar mass of Ni(NO3)2 in the equation (1).
n=62.8 g182.7032 g/mol=0.344 mol
The molar ratio of Ni(NO3)2:H2O can be obtained by dividing the number of moles with the lowest number of mole that is 0.344 mol.
Ni(NO3)2:H2O=0.344 mol0.344 mol:2.064 mol0.344 molNi(NO3)2:H2O=1:6
Therefore, the water of hydration for the compound Ni(NO3)2⋅XH2O is 6 and the chemcial formula of the compound is Ni(NO3)2⋅6H2O.
The water of hydration for the compound Ni(NO3)2⋅6H2O is to 6.
(c)
Interpretation:
The water of hydration for the compound CoSO4⋅XH2O is to be calculated which contains 30.5% water. The chemical formula of the compound CoSO4⋅XH2O is to be stated.
Concept introduction:
The water of crystallization is the number of water molecules present in crystals compounds. The water of crystallization is also known as the water of hydration. The water molecules present in the crystal helps the crystal to impart color. These water molecules can be easily removed from the crystal by heating them.

Answer to Problem 78E
The water of hydration for the compound CoSO4⋅XH2O is 1 and the chemical formula of the compound is CoSO4⋅H2O.
Explanation of Solution
The compound CoSO4⋅XH2O contains 10.4% water. Therefore, 100 g of the compound will have 10.4 g of water in it.
The mass of CoSO4 unit in 100 g of the compound is calculated as shown below.
mCoSO4=100 g−10.4 g=89.6 g
The molar mass of water is 18.02 g/mol.
The molar mass of CoSO4 is 154.9958 g/mol.
The number of moles of a substance is given by the expression as shown below.
n=mM …(1)
Where,
• m is the mass of the substance.
• M is the molar mass of the substance.
Substitute the values of mass and molar mass of water in the equation (1).
n=10.4 g18.02 g/mol=0.577 mol
Substitute the values of mass and molar mass of CoSO4 in the equation (1).
n=89.6 g154.9958 g/mol=0.578 mol
The molar ratio of CoSO4:H2O can be obtained by dividing the number of moles with the lowest number of mole that is 0.577 mol.
CoSO4:H2O=0.578 mol0.577 mol:0.577 mol0.577 molCoSO4:H2O≈1:1
Therefore, the water of hydration for the compound CoSO4⋅XH2O is 1 and the chemical formula of the compound is CoSO4⋅H2O.
The water of hydration for the compound CoSO4⋅H2O is to 1.
(d)
Interpretation:
The water of hydration for the compound CrI3⋅XH2O is to be calculated which contains 27.2% water. The chemical formula of the compound CrI3⋅XH2O is to be stated.
Concept introduction:
The water of crystallization is the number of water molecules present in crystals compounds. The water of crystallization is also known as the water of hydration. The water molecules present in the crystal helps the crystal to impart color. These water molecules can be easily removed from the crystal by heating them.

Answer to Problem 78E
The water of hydration for the compound CrI3⋅XH2O is 9 and the chemical formula of the compound is CrI3⋅9H2O.
Explanation of Solution
The compound CrI3⋅XH2O contains 27.2% water. Therefore, 100 g of the compound will have 27.2 g of water in it.
The mass of CrI3 unit in 100 g of the compound is calculated as shown below.
mCrI3=100 g−27.2 g=72.8 g
The molar mass of water is 18.02 g/mol.
The molar mass of CrI3 is 432.7095 g/mol.
The number of moles of a substance is given by the expression as shown below.
n=mM …(1)
Where,
• m is the mass of the substance.
• M is the molar mass of the substance.
Substitute the values of mass and molar mass of water in the equation (1).
n=27.2 g18.02 g/mol=1.51 mol
Substitute the values of mass and molar mass of CrI3 water in the equation (1).
n=72.8 g432.7095 g/mol=0.168 mol
The molar ratio of CrI3:H2O can be obtained by dividing the number of moles with the lowest number of mole that is 0.168 mol.
CrI3:H2O=0.168 mol0.168 mol:1.51 mol0.168 molCrI3:H2O=1:8.99CrI3:H2O≈1:9
Therefore, the water of hydration for the compound CrI3⋅XH2O is 9 and the chemical formula of the compound is CrI3⋅9H2O.
The water of hydration for the compound CrI3⋅9H2O is to 9.
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Chapter 11 Solutions
EP INTRODUCTORY CHEM.-MOD.MASTERINGCHEM
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