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JEE Advanced levelSingle correct optionDifficulty 3 of 3ss197

A sample of nickel oxide has the formula $Ni X_{0.97} O$ with nickel present only as $Ni X^{2 +}$ and $Ni X^{3 +}$ . The ratio $Ni X^{3 +} : Ni X^{2 +}$ in the sample is closest to

A0.066
B0.100
C0.031
D0.060

Answer: A

Let

Ni X^{3 +} = y

. Charge balance:

2 (0.97 - y) + 3 y = 2

, so

y = 0.06

and

Ni X^{2 +} = 0.97 - 0.06 = 0.91

. The ratio is

0.06/0.91 = 0.066

.

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