This is on the application of Differential Equations (Variable Separable Applications).

Minguk, a 30-kg dog will be undergoing a surgical procedure. He needs to be anesthetized with sodium pentobarbital. The anesthesia would work when his bloodstream contains 40 mg sodium pentobarbital per kilogram of the dog's body weight. Supposed that the sodium pentobarbital is eliminated exponentially from the dog's bloodstream, with a half-life of 4 hours.

a.) What single dose should be administered to Minguk to anesthetized him for 1 h?

b.) How long will it take for the anesthesia to reach 1 % of its initial dosage?