The data for the reaction: `A + B overset(k)rarr C`.
`|{:("Experiment",[A]_(0),[B]_(0),"Initial rate"),(1,0.012,0.035,0.10),(2,0.024,0.070,0.80),(3,0.024,0.035,0.10),(4,0.012,0.070,0.80):}|`
The rate law corresponding to the above data is
(a) Rate `= k[B]^(3)` , (b) Rate `= k[B]^(4)`
( c) Rate `= k[A][B]^(3)` , (d) Rate `= k[A]^(2)[B]^(2)`

Explanation

To determine the rate law for the reaction \( A + B \overset{k}{\rightarrow} C \) based on the provided experimental data, we will analyze the data step by step.

### Given Data:
| Experiment | \([A]_0\) | \([B]_0\) | Initial Rate |
|------------|-----------|-----------|--------------|
| 1 | 0.012 | 0.035 | 0.10 |
| 2 | 0.024 | 0.070 | 0.80 |
| 3 | 0.024 | 0.035 | 0.10 |
...