A transition metal M forms an oxide of formula M O 2 . It is found that only 50% of M atoms in this compound are in the +4 oxidation state. The only other stable oxidation states of M are +3 and +5.

Question

A transition metal M forms an oxide of formula M O 2 ​ . It is found that only 50% of M atoms in this compound are in the +4 oxidation state. The only other stable oxidation states of M are +3 and +5. What percentage of M atoms is in the +5 oxidation state in this compound?

TestHub · Accepted Answer

Mean oxidation state of M in M O 2 ​ is +4. Let fractions in +3 and +5 be a and b: a+b = 0.5 and 4(0.5)+3a+5b = 4, so 3a+5b = 2. Subtracting 3a+3b = 1.5 gives 2b = 0.5, b = 0.25. Percentage in +5 = 25%. Ans 0025.

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