Water is added at varying rates to a 300-liter holding tank. When a valve in a discharge line is opened, water flows out at a rate proportional to the height and hence to the volume V of water in the tank. The flow of water into the tank is slowly increased and the level rises in consequence, until at a steady input rate of 60.0 L/min the level just reaches the top but does not spill over. The input rate is then abruptly decreased to 40.0 L/min.
Write the equation that relates the discharge rate,
- , to the volume of water in the tank, V(L), and use it to calculate the steady-state volume when the input rate is 40 L/min.
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