Water flows at a rate of 2.0 ft3/s in an old, rusty 6-in.- diameter pipe that has a rela...

Water flows at a rate of 2.0 ft³/s in an old, rusty 6-in.- diameter pipe that has a relative roughness of 0.010. It is proposed that by inserting a smooth plastic liner with an inside diameter of 5 in. into the old pipe as shown in Fig. P8.34 the pressure drop per mile can be reduced. Is it true that the lined pipe can carry the required 2.0 ft³/s at a lower pressure drop than in the old pipe? Support your answer with appropriate calculations.