Question

in a reaction A+B-C+d, the rate increases 8 times on doubling the concenration of both A and B.however rate increases 9times on increasing the concentration of A alone 3 times calculate the order of reaction with respect to B plz can anyone answer the question​

Answer 1

Answer:

$r1 = k(a) {}^{n} \\ r2 \: = 2r1 = k(8a {}^{n} \\ \frac{2r1}{ r1} = (8) {}^{n}(2) {}^{1} = (2) {}^{3n} \\ 3n = 1 \\ n = \frac{1}{3}$