3. Your boss asks you to calculate the flow through a natural gas pipeline. Since it is 26 inches inner diameter, it is impossible to run the gas through any kind

of meter or measuring device. You decide to add 100 lb of CO2 per minute to the gas through a small ½ in. piece of pipe, collect samples of the gas downstream, and analyze them for CO2. Several consecutive samples after 1 hour are: 1hr, 0 min: 2.0 % CO2 1hr, 10 min: 2.2 % CO2 1 hr 20 min: 1.9 % CO2 1 hr 30 min: 2.1 % CO2 1 hr 40 min: 2.0% CO2 a) b) Unfortunately for you, the gas upstream of the point of injection of CO2 already contained 1.0% CO2. How much was your original flow estimate in error (in percent). Calculate the flow of gas in pounds per minute at the point of injection if the gas upstream of the point of injection is 100% CH4. a) Calculate the flow of gas in pounds per minute at the point of injection (implies total flow rate, including CO₂) if the gas upstream point of injection is 100% CH4. time time min 0 10 20 min 0 10 20 30 40 30 40 X₁ mol% 1.0% 1.0% 1.0% 1.0% 1.0% mol 0.0% 0.0% 0.0% 0.0% 0.0% Xc mol% 2.0% Xc mol% 2.0% 2.2% 1.9% 2.1% 2.0% 1.9% 2.1% 20% Ma mol min 1033 1033 1033 Ma mol min 1033 1033 1033 1033 1033 1033 1033 b) Unfortunately for you, the gas upstream of the point of injection of CO: already contained 1.0 % CO₂. How much was your origin estimate in error (in percent). (again, this implies total flow rate) MA mol min 101240 84194 MA mol min 112603 91942 101240 50620 45924 53338 48160 50620 Mc mol min 51653 46957 54371 49193 51653 Mc mol min 102273 85227 113636 92975 102273 mc mc lb min 1882 1717 1978 1795 1882 3726 3116 4133 3393 3726 previous, mc Ib/min 1882 1717 1978 1795 1882 Relative Error 24, w/w 66% 58% 71% 62% 66%