The rate of reaction, in this case, would be reduced to half. So the correct option is C.
The relationship between the rate of a chemical reaction and the concentration of the reactive species that are taking part in the reaction is called the order of the reaction.
When the rate of reaction depends on the concentration of only one of the reactants, it is called a first-order reaction. When the rate of these reactions depends upon the square of the concentration of one reactant or the concentration of two reactants, it is called a second-order reaction.
Hence, when the reaction is first order compared to A and second order compared to B, the rate equation will be
[A] [B]²
When the concentration of A is doubled and the concentration of B is halved
2 × (1/2)² = 2 × 1/4 = 1/2.
Therefore, the rate of reaction will be halved.
Read more about reaction order, here
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