For the reaction : a A ⟶ b B , it is given that log ⁡ - d A d t = log ⁡ d B d t + 0.6020 . What is a : b is?

Step-by-step solution

a A ⟶ b B - 1 a dA dt = 1 b dB dt or - d A d t = a b × d b d t log ⁡ - d A d t = log ⁡ a b + log ⁡ d B d t Given : log ⁡ - d A d t = log ⁡ d B d t + 0.6020 ∴ log ⁡ a b = 0.6020 = 2 × 0.3010 = 2 × log ⁡ 2 = log ⁡ 4 ∴ a : b = 4