The elimination of tert-butyl bromide with NaOEt in ethanol follows rate = k[RX][EtO^-]. If [RX] is doubled and [EtO^-] is tripled at constant temperature, the rate becomes how many times the original?

JEE Main levelSingle correct optionDifficulty 2 of 3o4178

The elimination of tert-butyl bromide with $NaOEt$ in ethanol follows $rate = k [RX] [EtO X^{-}]$ . If $[RX]$ is doubled and $[EtO X^{-}]$ is tripled at constant temperature, the rate becomes how many times the original?

The rate is proportional to the product of the two concentrations, so the factor is

2 \times 3 = 6

. Adding the factors (5) or squaring one of them (9 or 12) misuses the first-order dependences.