Experimental rate data was collected for the following reaction. Determine the rate law.
2 NO + Cl2 ® 2 NOCl
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The rate law will have the form Rate = k [NO]x [Cl2]y.
we have an equation with three unknowns (k, x, and y); Rate is measured. We need at least three different measurements of Rate to be able to solve this problem.
| 1 | 1.2 ×104 = k × 0.010x × 0.010y |
| 2 | 2.3 ×104 = k × 0.010x × 0.020y |
| 3 | 9.6 ×104 = k × 0.020x × 0.020y |
Now, we can solve for the three unknowns,
divide equations 2/1
Divide equations 3/2
We now know both x and y. We can solve for k using any one of the three equations.