In a mine ventilation system, the resistance of an airway is such that when air quantity is \(10~\mathrm{m^3/s}\), the pressure drop is \(100~\mathrm{Pa}\). What will be the pressure drop when the air quantity is increased to \(20~\mathrm{m^3/s}\)?
Show Hint
For mine airways,
\[
\boxed{P\propto Q^2.}
\]
If air quantity doubles, the pressure drop becomes four times.