Question

Pipelines containing ethanol (ethyl alcohol in pipe A) and gasoline (pipe B) merge into a larger pipe to create a mixture as shown in the sketch below. If the velocity in pipe A is 0.4m/s and the velocity in pipe B is 0.3 m/s, determine:

a.The volume flow rate of the mixture in pipe C

b.The velocity at point C

c.The density of the mixture

d.The percentage of ethanol in the mixture

4) Pipelines containing ethanol (ethyl alcohol in pipe A) and gasoline (pipe B) merge into a larger pipe to create a mixture as shown in the sketch below. If the velocity in pipe A is 0.4m/s and the velocity in pipe B is 0.3 m/s, determine: a. The volume flow rate of the mixture in pipe C 0.6 m b. The velocity at point C C. The density of the mixture d. The percentage of ethanol in the mixture 1.1 m 0.75 m

Answer 1

svi As per the law of mass conservation, S.V, A + P₂ V 2 Az = P V₂ A3 ethanol, 8, = 789 kg/m² gasoline & = 748 kg/m3. A 78970.4 x (06)* + 748 x 0,3% 2x (0.375) ? = fun x Vex ( = mx V = 198.215 – 0 Assuming there is no change in the volume (1.e. the flaw is incompressible), then, Volume remains constant, (a) i.e. Av, + A ₂ V2 = AzV2 = Q = 3 = 2 (0.67 0,4 +0.75x0.3) = 10.24 m b) ► 02x0,4 +0.3x0,75 = Nex112 ED V-0.258 misec (6 from egno, Im = 198.215 density of muxture Im=768.275 kg/m3 (6 7 A ethanol = ma of ethand VXA.. Total mass How rate PVA 198.215 x 7 x 1,12 of ethos (47.37% 01258 o vale 8, V, XA14100 789x oux x 6.6 xlo.

Please note that the general densities are used for the calculations, if any other values were given they would have been used.