A jet transport aircraft, with pressurized cabin, cruises at \(11 \mathrm{~km}\) altitude. The cabin temperature and pressure initially are at \(25^{\circ} \mathrm{C}\) and equivalent to \(2.5 \mathrm{~km}\) altitude. The interior volume of the cabin is \(25 \mathrm{~m}^{3}\). Air escapes through a small hole with effective flow area of \(0.002 \mathrm{~m}^{2}\). Calculate the time required for the cabin pressure to decrease by 40 percent. Plot the cabin pressure as a function of time.