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A 2.5 mol sample of hydrazine, N₂H₄ loses 25 mol of electrons in being converted to a new compound X. Assuming that all of the nitrogen appears in the new compound, what is the oxidation state of nitrogen in compound X ?
  • a)
    -1
  • b)
    -2
  • c)
    +3
  • d)
    +4
Correct answer is 'C'. Can you explain this answer?
Verified Answer
A 2.5 mol sample of hydrazine, N₂H₄ loses 25 mol of electr...
2.5 mol of N2H4 loses 25 mol electrons,
∴ 1 mole of N2H4 loses 10 mol electrons.
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A 2.5 mol sample of hydrazine, N₂H₄ loses 25 mol of electr...
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Community Answer
A 2.5 mol sample of hydrazine, N₂H₄ loses 25 mol of electr...
Given, a 2.5 mol sample of hydrazine, NH3 loses 25 mol of electrons in being converted to a new compound X.

Step 1: Find the oxidation state of nitrogen in hydrazine, NH3
In NH3, hydrogen has an oxidation state of +1 and nitrogen has an oxidation state of -3.

Step 2: Find the total charge lost by nitrogen in the conversion to compound X
Since nitrogen loses 25 mol of electrons, it loses a total charge of 25 x 1.6 x 10^-19 C = 4 x 10^-18 C

Step 3: Find the number of moles of nitrogen in the sample
From the given information, we know that there are 2.5 moles of NH3 in the sample. Since nitrogen is the only element that appears in the new compound X, there are also 2.5 moles of nitrogen in X.

Step 4: Find the oxidation state of nitrogen in compound X
Since the total charge lost by nitrogen in the conversion to X is 4 x 10^-18 C and there are 2.5 moles of nitrogen in X, the average charge lost by each nitrogen atom is:
(4 x 10^-18 C) / (2.5 x 6.02 x 10^23 atoms) = 2.66 x 10^-19 C/atom
The oxidation state of nitrogen in X is equal to the charge lost by each nitrogen atom, divided by the electron charge (-1.6 x 10^-19 C):
(2.66 x 10^-19 C/atom) / (-1.6 x 10^-19 C) = -1.66
The oxidation state of nitrogen in compound X is -1.66, which is closest to option C (-1). Therefore, the correct answer is C.
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A 2.5 mol sample of hydrazine, N₂H₄ loses 25 mol of electrons in being converted to a new compound X. Assuming that all of the nitrogen appears in the new compound, what is the oxidation state of nitrogen in compound X ?a)-1b)-2c)+3d)+4Correct answer is 'C'. Can you explain this answer?
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