For a given system, the influent substrate concentration is 470 g/m3 and the concentration of biomass in the aeration tank is 3000 g/m3. The substrate conversion rate is 2000 g/m3.d and the associated Volatile Suspended Solids (VSS) production rate was 1200 g VSS/m3.d. What is the yield?
0.6
Anyone please help
To calculate the yield, we need to use the following formula:
Yield (Y) = VSS Production Rate / Substrate Conversion Rate
Given:
VSS Production Rate = 1200 g VSS/m3.d
Substrate Conversion Rate = 2000 g/m3.d
Substituting the values into the formula:
Yield (Y) = 1200 g VSS/m3.d / 2000 g/m3.d
The units "g VSS" and "g" cancel each other out, leaving:
Yield (Y) = 1200 / 2000
Now, we can calculate the yield:
Yield (Y) = 0.6
Therefore, the yield is 0.6.
To calculate the yield, we need to know the amount of biomass produced per unit of substrate consumed. The yield is typically given in terms of grams of biomass produced per gram of substrate consumed (g/g).
To calculate the yield, we can use the following formula:
Yield = Biomass Produced (g) / Substrate Consumed (g)
In this case, we are given the influent substrate concentration (Cinfluent) as 470 g/m3, the concentration of biomass (biomass) in the aeration tank as 3000 g/m3, and the substrate conversion rate (Qs) as 2000 g/m3.d.
To calculate the substrate consumed, we can use the following formula:
Substrate Consumed (g) = Cinfluent (g/m3) - biomass (g/m3)
Substituting the given values:
Substrate Consumed (g) = 470 g/m3 - 3000 g/m3
Now, we can calculate the yield:
Yield = Biomass Produced (g) / Substrate Consumed (g)
Since the problem statement also provides the volatile suspended solids (VSS) production rate (Qvss) as 1200 g VSS/m3.d, we need to convert it to biomass produced by dividing it by the concentration of biomass (biomass):
Biomass Produced (g) = Qvss (g VSS/m3.d) / biomass (g/m3)
Substituting the given values:
Biomass Produced (g) = 1200 g VSS/m3.d / 3000 g/m3
Now, we can substitute all the values into the yield formula:
Yield = (1200 g VSS/m3.d / 3000 g/m3) / (470 g/m3 - 3000 g/m3)
Simplifying this equation will give us the yield value in g/g.