Question: A tank is being filled by having a flow at the rate of (dot{m}) into the system. Unfortunately there is a tiny hole at the

A tank is being filled by having a flow at the rate of $\dot{m}$ into the system. Unfortunately there is a tiny hole at the bottom and the water is leaking out of the system. Develop a basic model for the variation of the tank level as a function of time. Identify the additional transport law needed to complete the model.

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