A farmer harvests 2,000 kg of fresh cassava roots with an initial moisture content of 60 % (wet basis). The desired moisture content for storage is 20 % (wet basis). During drying the moisture content $W$ (in %) follows $ W = W_{0} e^{-kt} $ where $W_{0}=60$, $k=0.15\ \text{day}^{-1}$ and $t$ is the drying time in days.

(a) Determine the number of days required to reach the target moisture content.

(b) Calculate the final weight of the dried cassava at that moisture level.

(c) If the dried cassava can be sold at N5 per kilogram, what is the gross revenue?

Question

A farmer harvests 2,000 kg of fresh cassava roots with an initial moisture content of 60 % (wet basis). The desired moisture content for storage is 20 % (wet basis). During drying the moisture content $W$ (in %) follows $ W = W_{0} e^{-kt} $ where $W_{0}=60$, $k=0.15\ \text{day}^{-1}$ and $t$ is the drying time in days.

(a) Determine the number of days required to reach the target moisture content.

(b) Calculate the final weight of the dried cassava at that moisture level.

(c) If the dried cassava can be sold at N5 per kilogram, what is the gross revenue?

Accepted Answer

a) 7.3 days (approx); b) 1,000 kg; c) N5,000

Neco 2022 Agricultural Science Question 13

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