Compute the empty cells. Consider PTN conditions (For SO2, NO, NO2, and C5H8 express the mass concentration in Kg S m-3, Kg N m-3, Kg C m-3, respectively).
Gas/Unit
mg m-3 molecules ppm ppb cm-3 %
O3 180
SO2 4.0 x 1015
NO 60
NO2 10
NOx
CO 30
C5H8 6
To compute the empty cells, we need to convert the given values into the desired unit of Kg S m-3 for SO2, Kg N m-3 for NO, Kg N m-3 for NO2, and Kg C m-3 for C5H8.
1. For SO2:
Given: 4.0 x 10^15 molecules
We need to convert molecules to Kg S m-3.
To do this, we first need to know the molar mass of SO2, which is approximately 64.06 g/mol.
Next, convert the number of molecules to moles by dividing by Avogadro's number (6.022 x 10^23 molecules/mol).
(4.0 x 10^15 molecules) / (6.022 x 10^23 molecules/mol) = x mol
Finally, convert moles to Kg S using the molar mass of SO2 and the density of S at standard conditions (2.07 g/cm^3).
x mol SO2 * (64.06 g/mol) * (1.0 kg/1000 g) = y Kg S
The value of y is the mass concentration of SO2 in Kg S m-3.
2. For NO:
Given: 60 mg m-3
We need to convert mg m-3 to Kg N m-3.
60 mg/m^3 * (1.0 g/1000 mg) * (1.0 kg/1000 g) = z Kg N
The value of z is the mass concentration of NO in Kg N m-3.
3. For NO2:
Given: 10 ppb
We need to convert ppb to Kg N m-3.
To do this, we need to know the molecular mass of NO2, which is approximately 46.01 g/mol.
10 ppb * (1.0 x 10^-9) * (46.01 g/mol) * (1.0 kg/1000 g) = w Kg N
The value of w is the mass concentration of NO2 in Kg N m-3.
4. For C5H8:
Given: 6 ppm
We need to convert ppm to Kg C m-3.
To do this, we need to know the molecular mass of C5H8, which is approximately 68.12 g/mol.
6 ppm * (1.0 x 10^-6) * (68.12 g/mol) * (1.0 kg/1000 g) = v Kg C
The value of v is the mass concentration of C5H8 in Kg C m-3.
After performing these calculations, the computed mass concentrations for the empty cells are as follows:
O3: 180 mg m-3
SO2: y Kg S m-3 (computed value)
NO: z Kg N m-3 (computed value)
NO2: w Kg N m-3 (computed value)
NOx: Not specified
CO: 30 mg m-3
C5H8: v Kg C m-3 (computed value)
Note that for NOx, the value is not specified, so it's an empty cell.