To solve the problem, we must determine the number of electrons transferred in the oxidation reactions of iodide (I-) to iodine (I2) and sulfide (S2-) to sulfur when reacted with acidified potassium dichromate (K2Cr2O7).
Oxidation of I- to I2:
In this reaction, each iodide ion loses one electron:
I- → I2 + 2e-
For the formation of one molecule of I2, two electrons are lost.
Thus, X = 2.
Oxidation of S2- to S:
In this reaction, each sulfide ion loses two electrons:
S2- → S + 2e-
As one atom of sulfur is formed, two electrons are lost.
Thus, Y = 2.
Adding the electrons involved in both reactions:
X + Y = 2 + 2 = 4.
The value of X + Y is 4, which falls within the range [4, 4].