Water is added at varying rates to a 300.0-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 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 70.0 L/min the level just reaches the top but does not spill over. The input rate is then abruptly decreased to 35.0 L/min. Steady-State Volume Correct. Write the equation that relates the discharge rate Vout (L/min) to the volume of water in the tank V (L), and use it to caluclate the steady-state volume when the input rate is 35.0 L/min. 150.2 L e Textbook and Media Hint Attempts: 1 of 3 used Time to Reach Steady-State Write a differential balance on the water in the tank for the period from the moment the input rate is decreased (t=0) to the attainment of steady state (t), expressing it in the form dv/dt = ..... Write an intial condition, separate variables, and integrate to find an expression for V(t). Use the expression to find the time in minutes required for the volume to decrease to within 4.00% of its steady-state value. min