If the unit of the rate constant is \( \text{mol} \, (\text{dm}^{-3} \text{s}^{-1}) \), the order of the reaction would be ____________.
For the reaction \( A + B \to C \), the rate law is found to be \( \text{rate} = k[A]^2[B] \). If the concentration of \( A \) is doubled and \( B \) is halved, by what factor does the rate change?