To determine which reaction does not show the oxidizing behavior of hot concentrated sulphuric acid, we must evaluate each given reaction and identify whether a redox process, indicating oxidation and reduction, occurs.
Cu + 2H_2SO_4 \rightarrow CuSO_4 + SO_2 + 2H_2O
In this reaction, copper (Cu) is oxidized as it goes from Cu (0) to Cu+2 in CuSO4, and sulfur in H2SO4 is reduced as it forms SO2. This demonstrates the oxidizing behavior of sulphuric acid.
3S + 2H_2SO_4 \rightarrow 3SO_2 + 2H_2O
Here, sulfur (S) is oxidized from 0 in elemental sulfur to +4 in SO2. Sulfur from H2SO4 acts as the oxidizing agent as it does not change its oxidation state unlike the elemental sulfur, providing evidence of oxidizing behavior.
C + 2H_2SO_4 \rightarrow CO_2 + 2SO_2 + 2H_2O
Carbon (C) is oxidized from 0 in elemental carbon to +4 in CO2. H2SO4 is reduced to SO2, indicating the oxidizing behavior of sulphuric acid.
CaF_2 + H_2SO_4 \rightarrow CaSO_4 + 2HF
In this reaction, there is no change in the oxidation states of any element involved. This is an acid-base reaction where CaSO4 and HF are formed. Thus, this reaction does not exhibit the oxidizing behavior of sulphuric acid.
After analyzing each option, it is evident that the reaction CaF_2 + H_2SO_4 \rightarrow CaSO_4 + 2HF does not show the oxidizing behavior of hot concentrated sulphuric acid, hence it is the correct answer.