APFIVE Calculating Total Methane Production
The rate of methane production in an anaerobic digester is modeled by $$R(t)=500*e^{-0.05*t}$$ liters per day, where $$t$$ is in days. Calculate the total volume of methane produced in the first 10 days. (Hint: Evaluate $$\int_0^{10}500*e^{-0.05*t}\,dt$$.)
Anaerobic Digestion Parameters:
| Parameter | Value |
|---|---|
| Initial Production Rate | 500 liters/day |
| Decay Constant (1/day) | 0.05 |
| Time Interval | 10 days |
A
Approximately 5000 liters
B
Approximately 393 liters
C
Approximately 3935 liters
D
Approximately 6065 liters
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