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CEE 350 - Korshin - Winter 2012 - Homework 1(1)

# CEE 350 - Korshin - Winter 2012 - Homework 1(1) - CEE 350...

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Unformatted text preview: CEE 350 Homework Solutions, Week 1 Each problem is credited with 0.5 points. 1. (Textbook, #1.2) Suppose the exhaust gas from an automobile contains 1.0% per volume of carbon monoxide. Express this concentration in mg/m 3 at 25ºC and 1 Atm. First, we will determine the partial pressure of CO in the exhaust at 25ºC and 1 Atm total pressure: ¡ ¢ ¡ ¢ Atm Atm P f P CO CO 01 . 1 01 . u u Second, we will determine the molar concentration of CO in 1L or ! m3 of air: ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ 3 1 4 1 1 1 / 10 08 . 4 / 10 08 . 4 48 . 24 01 . 16 . 298 0821 . 01 . m mol L mol Atm mol L Atm K Atm K mol L Atm RT P C CO CO £ £ £ £ £ ¤ ¤ ¤ ¤ u ¤ ¤ ¤ Third we can determine the weight concentration of CO per one cubic meter: ¡ ¢ ¡ ¢¡ ¢ ¡ ¢ ¡ ¢ 3 3 3 1 / 11424 / 424 . 11 / 16 12 / 10 08 . 4 m mg m g mol g m mol MW C W CO CO CO ¥ u ¤ u £ 2. (Textbook, #1.6) Five million gallons per day (MGD) of wastewater, with a concentration of 10.0 mg/L of a conservative contaminant is released into a stream having an upstream flow of 10 MGD and pollutant concentration of 3.0 mg/L. (a) What is the concentration of the pollutant in ppm just downstream? (b) How many pounds of substance per day pass a given spot downstream? (you may want the conversions 3.785 L/gal and 2.2 lb/kg). First, we will determine the concentration of this contaminant downstream from the wastewater’s outfall based on the mass balance equation: ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ L mg MGD MGD L mg MGD L mg Q Q Q C Q C C waste stream waste waste stream stream / 33 . 5 15 10 / 3 5 / 10 u ¥ u ¥ ¥ Now we can determine the total weight of this contaminant passing a given spot downstream: ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ ¡ ¢ day lb day kg kg lb day kg day mg L gal day gal L mg Q Q C M waste stream / 7 . 666 / 303 / 2 . 2 / 303 / 10 03 . 3 / 785 . 3 / 10 15 / 33 . 5 8 6 u ¤ u ¤ u ¥ u 3. (Textbook, #1.11) A lake with a constant volume 103....
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CEE 350 - Korshin - Winter 2012 - Homework 1(1) - CEE 350...

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