Question

A compound of Magnease has a spin magnetic moment of 3.87 BM . if the manganese ion in the compound is present as Mn^(x+) then the value of x is : ​

Answer 1

Answer:

→ x = 4 .

Explanation:

The electronic configuration of Mn is :

Mn = 1s² , 2s² , 2p^6 , 3s² , 3p^6 , 3d^5 , 5s² .

==> In Mn⁴+ number of unpaired electrons = 3 .

So, Charge on Manganese ion = 4+ .

So, x = 4 .

Hence, it is solved.

Answer 2

Answer:

4

Explanation:

We all realize that the method for the magnetic second is:√ n(n+2)−−−−−−−√ , in which n=quantity of unpaired electrons withinside the configuration of the atom or ion.

Mathematically, μ=√n(n+2)−−−−−−−√-(I)

Now setting the fee of μ withinside the given equation.

So,three.87=√n(n+2)−−−−−−−√

Now squaring the each facet withinside the above equation:

15=n(n+2)n2+2n−15=0

On fixing this quadratic equation:

We get,

n2+5n−3n−15=0n(n+5)−three(n+5)=0n=three,n=−5

∴ n is the quantity of unpaired electrons withinside the ion so it cannot be a terrible quantity due to the fact the quantity of electrons can`t be terrible.

Hence , n=three

Now we've got were given the quantity of electrons withinside the ion is three.

Now we are able to make digital configuration of manganese

As all of us realize that atomic quantity of manganese is 25

So digital configuration,

Mn(25)=1s2,2s2,2p6,3s2,3p6,4s2,3d5

Now we ought to set up the digital configuration of manganese such that its configuration have three unpaired electrons withinside the valence shell

So, we ought to launch four electrons from the manganese to get three unpaired electrons withinside the valence shell

Therefore, digital configuration can be:

Mn+four(21)=1s2,2s2,2p6,3s2,3p6,3d3

Now we are able to see withinside the configuration we've got three electrons withinside the valence shell of manganese ions.

So fee of x can be 4 withinside the given question.

Note:

Magnetic second is the belongings of a magnet that spreads the magnetic subject to draw the cloth it affords mechanical second to draw materials. Magnetic second is likewise known as that it's miles the energy of a magnet through which it draws the opposite materials.

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