A \(31.5 \%\) hydrochloric acid solution is pumped from one storage tank to another. The power input to the pump is \(2 \mathrm{~kW}\) and is \(50 \%\) efficient. The pipe is plastic PVC pipe with an internal diameter of \(50 \mathrm{~mm}\). At a certain time the liquid level in the first tank is \(4.1 \mathrm{~m}\) above the pipe outlet. Because of an accident, the pipe is severed between the pump and the second tank, at a point \(2.1 \mathrm{~m}\) below the pipe outlet of the first tank. This point is \(27 \mathrm{~m}\) in equivalent pipe length from the first tank. Compute the flow rate (in \(\mathrm{kg} / \mathrm{s}\) ) from the leak. The viscosity of the solution is \(1.8 \times 10^{-3} \mathrm{~kg} / \mathrm{m} \mathrm{s}\), and the density is \(1600 \mathrm{~kg} / \mathrm{m}^{3}\).