Convert the concentration of SO2 from 80µg/m^3 to units of parts per million. The gas has temperature of 25 degree Celsius and a pressure of 101.325 kPa.
There's the Ideal Gas Law formula..pretty straightforward. Pressure is standard so P/P1=1 :D
229.4
To convert the concentration of SO2 from µg/m^3 to parts per million (ppm), you need to take into account the temperature and pressure of the gas.
Here's how you can do the conversion step-by-step:
Step 1: Convert the concentration from µg/m^3 to mg/m^3.
- Since 1 µg = 0.001 mg, divide 80 µg/m^3 by 1000 to convert it to mg/m^3.
- 80 µg/m^3 = 0.08 mg/m^3
Step 2: Convert the concentration from mg/m^3 to grams per cubic meter (g/m^3).
- Since 1 mg = 0.001 g, divide 0.08 mg/m^3 by 1000 to convert it to g/m^3.
- 0.08 mg/m^3 = 0.00008 g/m^3
Step 3: Convert the concentration from grams per cubic meter (g/m^3) to moles per cubic meter (mol/m^3).
- To convert grams to moles, you need to know the molar mass of SO2.
- The molar mass of SO2 is approximately 64 g/mol (32.06 g/mol for sulfur + 2 * 16.00 g/mol for oxygen).
- Divide 0.00008 g/m^3 by 64 g/mol to convert it to mol/m^3.
- 0.00008 g/m^3 ÷ 64 g/mol ≈ 1.25 x 10^-6 mol/m^3
Step 4: Convert the concentration from moles per cubic meter (mol/m^3) to parts per million (ppm).
- To convert mol/m^3 to ppm, you need to know the ideal gas constant (R) and the temperature (in Kelvin).
- The ideal gas constant, R, is approximately 8.314 J/(mol·K).
- Convert the temperature from Celsius to Kelvin by adding 273.15: 25°C + 273.15 = 298.15 K.
- Multiply the molar concentration by the conversion factor: 1 ppm = (R * T) / 1000.
- Multiply 1.25 x 10^-6 mol/m^3 by (8.314 J/(mol·K) * 298.15 K) / 1000 to get the concentration in ppm.
- (1.25 x 10^-6 mol/m^3) * (8.314 J/(mol·K) * 298.15 K) / 1000 ≈ 3.11 ppb (parts per billion)
Note: In this case, the conversion results in parts per billion (ppb) rather than parts per million (ppm) due to the factors involved in the conversion calculation.
Therefore, the concentration of SO2 is approximately 3.11 ppb.