Question

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Answer 1

$\huge\bold{\textbf{\textsf{{\color{cyan}{Answer}}}}}$

When the conc of B is doubled, the rate is doubled. So, Order wrt [B] is 1

When the conc of both reactants are doubled, rate becomes 8 times. So, Order wrt [A] is 2.

$rate \: = k \: {[A]}^{2} [ B ]$