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Which of the following system follows the differential equation?

(a) Semi- Batch process

(b) Batch process

(c) Fed- Batch process

(d) Continuous process

This question was addressed to me during an interview.

I would like to ask this question from Law of Conservation of Mass topic in portion Material Balance of Bioprocess Engineering

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The correct choice is (d) Continuous process

Explanation: Amounts of mass entering and leaving the system are specified using flow rates, a mass balance based on rates is called a differential balance. Whereas, each term of the mass-balance equation in this case is a quantity of mass, not a rate. This type of balance is called an integral balance. Differential balances for continuous systems operating at steady state and integral balances for batch and semi-batch systems between initial and final states are used.

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