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Question

Chemistry Question on Chemical Kinetics

Consider the following data for the given reaction
2$$\text{HI}_{(g)} \rightarrow \text{H}_2{(g)}$$ + $$\text{I}_2{(g)}

The order of the reaction is __________.

Answer

Assuming the rate law:

Rate=k[HI]n\text{Rate} = k[\text{HI}]^n

Using any two of the given data points:

3.0×1037.5×104=(0.010.005)n\frac{3.0 \times 10^{-3}}{7.5 \times 10^{-4}} = \left(\frac{0.01}{0.005}\right)^n

Solving, we find n=2n = 2, so the reaction is second order.

Explanation

Solution

Assuming the rate law:

Rate=k[HI]n\text{Rate} = k[\text{HI}]^n

Using any two of the given data points:

3.0×1037.5×104=(0.010.005)n\frac{3.0 \times 10^{-3}}{7.5 \times 10^{-4}} = \left(\frac{0.01}{0.005}\right)^n

Solving, we find n=2n = 2, so the reaction is second order.