Statement 1 : The oxidation state of $C r$ in ${{A l}_{2} ({C r}_{2} O_{7})}_{3}$ is +3.
Statement 2 : As a neutral compound, the sum of oxidation numbers of all the atoms must equal to zero.

Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.

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Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.

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Statement 1 is correct but Statement 2 is not correct.

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Statement 1 is not correct but Statement 2 is correct.

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Both the Statement 1 and Statement 2 are not correct.

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Solution

The correct option is D
Statement 1 is not correct but Statement 2 is correct.

Let $X$ be the oxidation state of $C r$ in $A l_{2} (C r_{2} O_{7})_{3}$ .
The oxidation states of $A l$ and $O$ are +3 and -2 respectively.
As a neutral compound, the sum of oxidation numbers of all the atoms must be equal to zero.
Hence, $2 (- 3) + 3 [2 X + 7 (- 2)] = 0$
$+ 6 + 3 [2 X - 14] = 0$
$+ 6 + 6 X - 42 = 0$
$6 X = 36$
$X = + 6$

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Statement 1 : The oxidation state of Cr in Al2(Cr2O7)3 is +3.Statement 2 : As a neutral compound, the sum of oxidation numbers of all the atoms must equal to zero.

Statement 1 : The oxidation state of $C r$ in ${{A l}_{2} ({C r}_{2} O_{7})}_{3}$ is +3.
Statement 2 : As a neutral compound, the sum of oxidation numbers of all the atoms must equal to zero.