At cruise conditions, air flows into a jet engine at a steady rate of \(65 \mathrm{lbm} / \mathrm{s}\). Fuel enters the engine at a steady rate of \(0.60 \mathrm{lbm} / \mathrm{s}\). The average velocity of the exhaust gases is \(1500 \mathrm{ft} / \mathrm{s}\) relative to the engine. If the engine exhaust effective cross-sectional area is \(3.5 \mathrm{ft}^{2}\), estimate the density of the exhaust gases in \(1 \mathrm{bm} / \mathrm{ft}^{3}\).