For the following reaction, it is found that doubling the amount of a causes the reaction rate to quadruple. doubling the amount of b has absolutely no effect on the rate.

what is the best rate law equation for this reaction?

a + b 2c

R = k[ A ]²

Explanation:

What we are being asked is to determine the exponents in the equation:

R = k [A ]^a  [B]^b

where R =  reaction rate of the chemical reaction, k is the reaction constant,  [A ][B] are the concentrations, and a and b are exponents.

Now the reaction has b= 0 since  changing the concentration of B  has no effect on the rate.

So,

R = k [ A ]^a

Doubling the amount of A, quadruples the reaction. Therefore a= 2, and the best law equation is R = k[ A ]²