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1)Ethane from Marcellus shale gas is burned in a furnace at the rate of 200 m 3

ID: 890617 • Letter: 1

Question

1)Ethane from Marcellus shale gas is burned in a furnace at the rate of 200 m3/min. The furnace uses 10% excess air.

a)What would be air flow rate in m3/h?

b)The ambient temperature outside is 22 °C. You are asked to design the air inlet pipe. What would be the inside diameter of the pipe if the air velocity cannot exceed 4 m/s?

c)What would be the outlet gas composition and volumetric flow rate if the gases leave at 150 °C

d)What would be the diameter of the exit gas pipe if the velocity is restricted to 5 m/s?

Explanation / Answer

CH3CH3 + 7/2 O2 = 2CO2 + 3H2O

a. For gases, volume is proportional to moles. Air has 21% oxygen.

Air flow rate

= 200 × (7/2) / 0.21 ×1.1

= 3667 m3/min

= 3667 * 60 m3/h

= 22 × 104 m3/h

b. Air flow rate = 3667/60 = 61 m3/s

Through the inlet pipe air will flow at a rate of 61 m3/s.

So, r2 × 4 m = 61 m3

r = ( 61/4) m

= 2.2 m

Diameter = 2 * 2.2 = 4.4 m