Second Order Reaction

Q. What is the graph of $\left\{\frac{1}{\left[A\right]}\right\}$ vs time for second order reaction looks like?

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Q.

In a reaction, $A+B\to$ Product, rate is doubled when the concentration of B is doubled and rate increases by a factor of 8 when the concentrations of both the reactants (A and B) are doubled. Rate law for the reaction can be written as :

1. Rate $=k\left[A{]}^2\right[B{]}^2$

2. Rate $=k\left[A\right][B{]}^2$

3. Rate $=k\left[A\right]\left[B\right]$

4. Rate $=k\left[A{]}^2\right[B]$