# Problem: The following kinetic data are collected for the initial rates of a reaction 2X + Z →products:Experiment  [X]0  (M)  [Z]0  (M)  Rate  (M/s) 10.250.254.0x101imes {10^{1}}20.500.503.2x102imes {10^{2}}30.500.757.2x102imes {10^{2}}What is the value of the rate constant with proper units?

###### FREE Expert Solution

Recall that the Rate Law (which considers reactants only) for the reaction:

2X + Z → products is given by the equation:

Where:

k = rate law constant

a, b = reactant orders

X and Z = reactants

Based on the given experimental data, we can determine the rate constant, k by these steps:

1. Solve reactant orders: a and b
2. Solve for the value of k
3. Determine correct units for k
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###### Problem Details

The following kinetic data are collected for the initial rates of a reaction 2X + Z →products:

 Experiment [X]0  (M) [Z]0  (M) Rate  (M/s) 1 0.25 0.25 4.0x101 2 0.50 0.50 3.2x102 3 0.50 0.75 7.2x102

What is the value of the rate constant with proper units?