(Solution) - Let us attack Prob 6 25 in symbolic fashion -(2025 Original AI-Free Solution)

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Let us attack Prob. 6.25 in symbolic fashion, using Fig. P6.27. All parameters are constant except the upper tank depth Z (t). Find an expression for the flow rate Q (t) as a function of Z (t). Set up a differential equation, and solve for the time t0 to drain the upper tank completely. Assume quasisteady laminar flow.