A \(1-\mathrm{m}\) long pipe delivers a fluid with a power-law index of 0.5 at the rate of \(0.02 \mathrm{~m}^{3} / \mathrm{s}\). The pressure drop of the pipe across the system is \(3.5 \times 10^{4} \mathrm{~Pa}\).

Now, if an additional parallel line of the same size is laid in parallel, what will the new flow rate be? How much is the increase in capacity?

Assume laminar flow holds in both the cases.