Using mu=sqrtn(n+2) BM, calculate the sum of the spin-only magnetic moments of one mole each of [Mn(H2O)6]^2+, [Fe(H2O)6]^3+ and [Ni(H2O)6]^2+ (all high spin), in BM, to two decimal places.

JEE Advanced levelNumerical answerDifficulty 3 of 3df158

Using $μ = n (n + 2)$ BM, calculate the sum of the spin-only magnetic moments of one mole each of $[Mn (H X_{2} O) X_{6}] X^{2 +}$ , $[Fe (H X_{2} O) X_{6}] X^{3 +}$ and $[Ni (H X_{2} O) X_{6}] X^{2 +}$ (all high spin), in BM, to two decimal places.

Numerical answer type, answer in BM, tolerance 0.01.

Unpaired electrons: Mn(II)

d^{5}

gives 5, Fe(III)

d^{5}

gives 5, Ni(II)

d^{8}

gives 2. Moments:

35 = 5.916

35 = 5.916

and

8 = 2.828

. Sum

= 14.66 BM