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 \( A + B \rightarrow C \) based on the given experimental data, we will use the method of initial rates. The rate law can generally be expressed as:

\[ \text{Rate} = k[A]^x[B]^y \]

where \( x \) and \( y \) are the orders of the reaction with respect to reactants \( A \) and \( B \), respectively.

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