Final answer:
The change in concentration of H2O2 with respect to time is equal but opposite to the change in concentration of H2 for the reaction H2O2 (g) → H2 (g) + O2 (g) when balanced.
Step-by-step explanation:
The student is asking to express the change in concentration of H2O2 with respect to time as an integer when compared to the change in concentration of H2 for the given chemical reaction H2O2 (g) → H2 (g) + O2 (g). This type of equation is used in stoichiometry to relate the rates at which reactants are consumed and products are formed.
When balanced, the decomposition of hydrogen peroxide produces water and oxygen gas according to the equation: 2H2O2(g) → 2H2(g) + O2(g). In this reaction, every 2 moles of H2O2 that decompose, we form 2 moles of H2 and 1 mole of O2. Therefore, the change in the concentration of H2O2 over time (-Δ[H2O2]/Δt) is equal but opposite in sign to the change in the concentration of H2 (Δ[H2]/Δt).