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Question

Experimentally it was found that a metal oxide has a formula of M0.98 o . Metal M is present as M*+2 and M+3 in its oxide . Fraction of metal which exists as M3+ would be?

Kindly give explanation for the steps because I have already gone through the solution but not able to follow it..

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Solution

M0.98O
Let M2+ be x so that M3+ will be 0.98-x. Total charge on the compound must be zero so that

+2(x) + 3(0.98-x) - 2 = 0 (charge on oxygen atom = -2)
2x + 2.94 - 3x - 2 = 0
x = 0.94

Amount of M3+ present = 0.98 - 0.94 = 0.04

Fraction of M3+ present = 0.040/.98 = 0.0408

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