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The equation
$C u + x H N O_{3} \to C u {(N O_{3})}_{2} + y N O_{2} + 2 H_{2} O$

The values of x and y are

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4 and 2

7 and 1

3 and 5

8 and 6

answer is C.

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Detailed Solution

Number of hydrogen atoms in the product side is 4 and so to balance the hydrogen atoms, x will be 4.Due to this number of nitrogen and oxygen atoms will become 8 and 12 respectively. So in order to balance the reaction y should be 2.

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