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I originally thought tank K because the area in tank J is much larger than the area in the pipe connecting J to I

But then I realize Bernoulli's equation does not include volume but only includes height.

H_1, H_2 = height of water tank J, height of water in pipe between tanks J and I

P, p, V = pressure, density, velocity

$$P_1+pgH_1+\frac{1}{2}pV_1^2=P_2+pgH_2+\frac{1}{2}pV_2^2$$

Pressure terms are the same, so is density. Velocity = 0, gravity cancels out ##H_1=H_2##

So even in the small pipe connecting J to I, the water level is going to be the same as the height of water in the tank J.

Is this correct?

Also note the pipe from C to D is blocked off.

Also I assume A would be trivial solution so water must exit pipe faster than the tap fills tank A