Question

The following data was obtained for the reaction, 

• A. rate = $k [X][Y]$
• B. rate = $k [Y]^2$
• C. rate = $k [X]$
• D. rate = $k [X]^2$

Hint:

When determining the rate law from experimental data, compare how the rate changes with concentration to determine the order of reaction with respect to each reactant.

Answer 1

The Correct Option is D

From the given data for the reaction, we can see that as the concentration of $X$ increases, the rate of the reaction changes significantly. The rate depends more on $X$ than on $Y$, and the best fit to the data suggests that the rate is proportional to the square of the concentration of $X$. Hence, the correct rate expression is $rate = k [X]^2$.