To calculate the average rate of disappearance of
X, we need to use the stoichiometry of the given reaction and the rate of formation of
Z. The reaction is as follows:
5X+Y⟶3ZWe are given the rate of formation of
Z :
Rate of formation of
Z=2.4×10−5‌mol‌L−1‌ s−1From the stoichiometry of the reaction, for every 3 moles of
Z formed, 5 moles of
X are consumed. Therefore, the rates of consumption and formation are proportional to their stoichiometric coefficients.
Thus, we can relate the rate of disappearance of
X to the rate of formation of
Z using the following ratio:
Rate of disappearance of
X=(‌)× Rate of formation of
ZSubstituting the given rate of formation of
Z :
Rate of disappearance of
X=(‌)×2.4×10−5‌mol‌L−1‌ s−1Let's perform the multiplication:
Rate of disappearance of
X=(‌)×10−5Rate of disappearance of
X=(‌)×10−5Rate of disappearance of
X=4×10−5‌mol‌L−1‌ s−1Therefore, the correct answer is:
Option C
4.0×10−5‌mol‌L−1‌ s−1