Hydrogen flows through a horizontal insulated duct. At section 1, the enthalpy is \(2400 \mathrm{Btu} / \mathrm{lbm}\), the density is \(0.5 \mathrm{lbm} / \mathrm{ft}^{3}\), and the velocity is \(500 \mathrm{ft} / \mathrm{sec}\). At a downstream section, \(h_{2}=2240 \mathrm{Btu} / \mathrm{lbm}\) and \(ho_{2}=0.1 \mathrm{lbm} / \mathrm{ft}^{3}\). No shaft work is done. Determine

(a) the velocity at section 2 and

(b) the ratio of areas.