25 ml of a 0.1 (M) solution of a stable cation of transition metal z reacts exactly with 25 ml of 0.04 (M) acidified ${KMnO}_{4}$ solution. Which of the following is most likely to represent the change in oxidation state of Z correctly ?

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$Z^{+} \overset{}{\to} Z^{2 +}$

$Z^{2 +} \overset{}{\to} Z^{3 +}$

$Z^{3 +} \overset{}{\to} Z^{4 +}$

$Z^{2 +} \overset{}{\to} Z^{4 +}$

answer is D.

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Detailed Solution

${(VM \times n - factor)}_{Z} = {(VM \times n - factor)}_{{KMnO}_{4}}$
25 x 0.1 x n-factor = 25 x 0.04 x 5

n-factor = $\frac{25 \times 0.04 \times 5}{25 \times 0.1} = 2$

which is possible in (d) option

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