Based on the "national ambient air quality objectives", the acceptable hourly average concentration of carbon monoxide (CO) is 35mg/m^3. Find the acceptable concentration of CO in ppm if the temperature is -30'C and pressure is 0.92 atm. Express the concentration as a percent by volume.
Given :
Concentration : 35 mg / m^3
Pressure in atm = 0.92 atm
T = - 30 deg C
Pressure in mmHg = 760 / 0.92 mmHg
The formula for ppm at NTP
= (mg per m3) (24.46 g per mol)/ MW
Where 24.46 is the molar volume at 25 degree C. and 760 mmHg
MW is the molecular weight of CO
Ppm NTP = ( 35 mg / m^3) ( 24.46 L / mol) / 28.010 g / mol
= 5.57 ppm
At T = -30 deg C
= (ppm at NTP x ( 760 /p ) x ( T / 298)
= 5.57 ppm x ( 760 / (760/0.92 ) ) x ( ((-30 deg C + 273) / 298 )
= 5.20 ppm
Conversion from ppm to volume percent
= 5.20 x 0.0001 %
= 0.000520 %
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