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Water (ρ = 1000 kg/m3) enters a 2.00 m3 tank at a rate of 6.00 kg/s and is withdrawn at a rate of 3.00 kg/s. The tank is initially half-full. (a) Is the process continuous, batch, or semi-batch? (b) Is it transient or steady state? (c) Use the general material balance equation to determine how long it will take for the tank to overflow.

Question-AnswerCategory: Material And Energy BalanceWater (ρ = 1000 kg/m3) enters a 2.00 m3 tank at a rate of 6.00 kg/s and is withdrawn at a rate of 3.00 kg/s. The tank is initially half-full. (a) Is the process continuous, batch, or semi-batch? (b) Is it transient or steady state? (c) Use the general material balance equation to determine how long it will take for the tank to overflow.
GCT asked 1 year ago

Water enters a 2.00-m3 tank at a rate of 6.00 kg/s and is withdrawn at a rate of 3.00 kg/s. The tank is initially half full.
(a) Is this process continuous, batch, or semi-batch? Is it transient or steady state?
(b) Write a mass balance for the process. Identify the terms of the general balance equation present in your equation and state the reason for omitting any terms.
(c) How long will the tank take to overflow?

1 Answers
Sazid Ahmad answered 1 year ago

 
 

The water stream enters and leaves the tank. So, it is not a batch process. The inflow and the outflow rates are not equal. S
Substitute the known values in the equation 6-3-4(Vx1000kg/m d(Vx1000) dt 6-3- 3(dt)-1000 (dv) dV-0.003(dt) final Integrate e
Therefore, the time taken for the tank to overflow is 333.33s.

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