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29 April, 15:18

Convert the concentration of SO2 from 80 μg/m3 to units of parts per million. The gas has a temperature of 25˚C and a pressure of 101.325 kPa. (Problem 2-56)

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Answers (2)
  1. 29 April, 16:30
    0
    0.0306 ppm

    Explanation:

    Parts per million is defined as the mass of a solute in milligram per 1 liter of solvent. It is also a unit of concentration of a solution.

    From the definition,

    1 mg/l = 1 ppm

    Converting μg/m3 to mg/l,

    1 μg = 10^-6 g

    Therfore, 1 mg = 10^3 μg

    = 80 μg/m3 * 1 mg/10^3 μg

    = 0.08 mg/m3

    Molecular weight of SO2 = 32 + (16*2)

    = 64 g/mol

    Concentration (in ppm) = (concentration (mg/m3) * 24.45) / molecular weight of SO2

    24.45 = volume (liters) of a mole (gram molecular weight) of a gas when the pressure is at 1 atmosphere (760 torr or 760 mm Hg) and at 25°C. where R is the ideal gas constant; T is the temperature in kelvins (273.16 + T°C); and P is the pressure in mm Hg.

    = (0.08 * 24.45) / 64

    = 0.0306 ppm
  2. 29 April, 16:35
    0
    0.031 parts per million

    Explanation:

    80 micrograms/m^3 = 80 micrograms/m^3 * 1m^3/1000L = 0.08 micrograms/L

    Concentration in parts per million = concentration in micrograms/L * molar volume/MW

    Concentration in micrograms/L = 0.08

    Molar volume at 25°C and 101.325kPa (1 atm) is 24.45L

    MW of SO2 = 64g/mole

    Concentration in ppm = 0.08*24.45/64 = 0.031 ppm
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