Question

From the data, determine the rate law for the reaction.

a) rate=k[CHCl3][Cl2]1/2
b) rate=k[CHCl3]2[Cl2]1/2
c) rate=k[CHCl3]1/2[Cl2]1/2
d) rate=k[CHCl3][Cl2]

Answer 1

The rate law for the reaction is rate = k[CH3CH2Cl]. The rate is directly proportional to the concentration of CH3CH2Cl. The rate constant can be calculated using any row from the given table.

Step-by-step explanation:

The rate law for the reaction can be determined from the given data by comparing different experiments and their impact on the reaction rate. In this case, Experiment 2 and 3 show that doubling the concentration of CH3CH2Cl doubles the reaction rate, indicating that the reaction rate is directly proportional to the concentration of CH3CH2Cl. Similarly, Experiments 1 and 4 show that quadrupling the concentration of CH3CH2Cl quadruples the reaction rate, further supporting the direct proportionality. Therefore, the rate law for the reaction is rate = k[CH3CH2Cl].

You can calculate the rate constant (k) using any row in the table provided. For example, using Experiment 1:

1.60 × 10-8 M/s = k(0.010 M)

1.6 × 10-6 s-1 = k