Carbon dioxide flows in a horizontal duct at 7 bar abs. and \(300 \mathrm{~K}\) with a velocity of \(10 \mathrm{~m} / \mathrm{s}\). At a downstream location the pressure is 3.5 bar abs. and the temperature is \(280 \mathrm{~K}\). If \(1.4 \times 10^{4} \mathrm{~J} / \mathrm{kg}\) of heat is lost by the fluid between these locations:

(a) Determine the velocity at the second location.

(b) Compute the ratio of initial to final areas.