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Which of the following pairs of ions have same paramagnetic moment?
- a)Cu2+, Ti3+
- b)Ti3+, Ni2+
- c)Ti4+, Cu2+
- d)Mn2+, Cu2+
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following pairs of ions have same paramagnetic moment?a)C...
Cu2+, Ti3+ will have same unpaired electrons and hence same paramagnetic moment.
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Which of the following pairs of ions have same paramagnetic moment?a)C...
Explanation:
Paramagnetic Moment:
Paramagnetic substances are those substances that are weakly attracted by an external magnetic field. The paramagnetic moment is a measure of the strength of this attraction. It is given by the formula:
Paramagnetic Moment (μ) = √(n(n+2)) BM
Where:
- n is the number of unpaired electrons in the atom or ion
- BM stands for Bohr Magneton, a unit of magnetic moment.
Identifying the Number of Unpaired Electrons:
To determine which pairs of ions have the same paramagnetic moment, we need to first identify the number of unpaired electrons in each ion. Unpaired electrons are those that do not have a partner or are not paired with another electron in the same orbital.
Calculating the Number of Unpaired Electrons:
To calculate the number of unpaired electrons, we need to know the electron configuration of each ion. Let's calculate the number of unpaired electrons for each pair of ions:
a) Cu2+ (Copper ion with +2 charge)
- The electron configuration of Cu2+ is: 1s2 2s2 2p6 3s2 3p6 3d9
- In Cu2+, there are 9 electrons in the 3d orbital, which means there is 1 unpaired electron.
b) Ti3+ (Titanium ion with +3 charge)
- The electron configuration of Ti3+ is: 1s2 2s2 2p6 3s2 3p6 3d1
- In Ti3+, there is 1 electron in the 3d orbital, which means there is 1 unpaired electron.
c) Ti4+ (Titanium ion with +4 charge)
- The electron configuration of Ti4+ is: 1s2 2s2 2p6 3s2 3p6
- In Ti4+, all the electrons are paired, which means there are no unpaired electrons.
d) Mn2+ (Manganese ion with +2 charge)
- The electron configuration of Mn2+ is: 1s2 2s2 2p6 3s2 3p6 3d5
- In Mn2+, there are 5 electrons in the 3d orbital, which means there are 5 unpaired electrons.
Comparing the Number of Unpaired Electrons:
From the calculations above, we can see that:
- Cu2+ and Ti3+ both have 1 unpaired electron.
- Ti4+ and Mn2+ have 0 unpaired electrons.
Conclusion:
Based on the number of unpaired electrons, we can conclude that the pair of ions with the same paramagnetic moment is:
a) Cu2+ (1 unpaired electron)
b) Ti3+ (1 unpaired electron)
Paramagnetic Moment:
Paramagnetic substances are those substances that are weakly attracted by an external magnetic field. The paramagnetic moment is a measure of the strength of this attraction. It is given by the formula:
Paramagnetic Moment (μ) = √(n(n+2)) BM
Where:
- n is the number of unpaired electrons in the atom or ion
- BM stands for Bohr Magneton, a unit of magnetic moment.
Identifying the Number of Unpaired Electrons:
To determine which pairs of ions have the same paramagnetic moment, we need to first identify the number of unpaired electrons in each ion. Unpaired electrons are those that do not have a partner or are not paired with another electron in the same orbital.
Calculating the Number of Unpaired Electrons:
To calculate the number of unpaired electrons, we need to know the electron configuration of each ion. Let's calculate the number of unpaired electrons for each pair of ions:
a) Cu2+ (Copper ion with +2 charge)
- The electron configuration of Cu2+ is: 1s2 2s2 2p6 3s2 3p6 3d9
- In Cu2+, there are 9 electrons in the 3d orbital, which means there is 1 unpaired electron.
b) Ti3+ (Titanium ion with +3 charge)
- The electron configuration of Ti3+ is: 1s2 2s2 2p6 3s2 3p6 3d1
- In Ti3+, there is 1 electron in the 3d orbital, which means there is 1 unpaired electron.
c) Ti4+ (Titanium ion with +4 charge)
- The electron configuration of Ti4+ is: 1s2 2s2 2p6 3s2 3p6
- In Ti4+, all the electrons are paired, which means there are no unpaired electrons.
d) Mn2+ (Manganese ion with +2 charge)
- The electron configuration of Mn2+ is: 1s2 2s2 2p6 3s2 3p6 3d5
- In Mn2+, there are 5 electrons in the 3d orbital, which means there are 5 unpaired electrons.
Comparing the Number of Unpaired Electrons:
From the calculations above, we can see that:
- Cu2+ and Ti3+ both have 1 unpaired electron.
- Ti4+ and Mn2+ have 0 unpaired electrons.
Conclusion:
Based on the number of unpaired electrons, we can conclude that the pair of ions with the same paramagnetic moment is:
a) Cu2+ (1 unpaired electron)
b) Ti3+ (1 unpaired electron)
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