Answer:
3.62 x 10⁻⁵ M⁻¹s⁻¹.
Step-by-step explanation:
- Since the reaction is first order each in ethyl bromide and hydroxide ion.
- The rate of disappearance of ethyl bromide = k[C₂H₅Br][OH⁻],
where, k is the rate constant,
[C₂H₅Br] = 0.0478 M, and [OH⁻] = 0.162 M.
∴ The rate constant (k) = The rate of disappearance of ethyl bromide / [C₂H₅Br][OH⁻] = (2.8 x 10⁻⁷ M/s) / (0.0478 M)(0.162 M) = 3.62 x 10⁻⁵ M⁻¹s⁻¹.