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Question

Question: If oxidation numbers of X, Y and Z are +2, +3 and -4 respectively, then possible formula of the comp...

If oxidation numbers of X, Y and Z are +2, +3 and -4 respectively, then possible formula of the compound will be

A

XY₂Z₂

B

X₂Y₃Z₄

C

X₃Y₂Z

D

X₂Y₂Z

Answer

XY₂Z₂

Explanation

Solution

For a neutral compound, the sum of oxidation numbers must be zero. Let the formula be XaYbZcX_a Y_b Z_c. Then, a(+2)+b(+3)+c(4)=0a(+2) + b(+3) + c(-4) = 0, which simplifies to 2a+3b4c=02a + 3b - 4c = 0. We need to find integer values for a, b, and c. If we choose a=1a=1 and b=2b=2, then 2(1)+3(2)=2+6=82(1) + 3(2) = 2 + 6 = 8. For the sum to be zero, 4c4c must equal 8, so c=2c=2. Thus, a possible formula is XY2Z2XY_2Z_2.