If 0.250 L of aqueous solution with a density of 1.00 g/mL contains 13.7 g of pesticide, express the concentration of pesticide in (a) ppm and (b) ppb.
To express the concentration of the pesticide in ppm (parts per million) and ppb (parts per billion), we need to calculate the mass of the pesticide in the solution.
(a) To calculate the concentration of pesticide in ppm:
1. Start with the given mass of the pesticide: 13.7 g.
2. Convert the volume of the solution to grams using the density:
0.250 L * 1.00 g/mL = 0.250 g.
3. Calculate the concentration in ppm:
(mass of pesticide / total mass of solution) * 1,000,000.
(13.7 g / 0.250 g) * 1,000,000 = 5480000 ppm.
Therefore, the concentration of the pesticide in the solution is 5,480,000 ppm.
(b) To calculate the concentration of pesticide in ppb:
1. Start with the given mass of the pesticide: 13.7 g.
2. Convert the volume of the solution to grams using the density:
0.250 L * 1.00 g/mL = 0.250 g.
3. Calculate the concentration in ppb:
(mass of pesticide / total mass of solution) * 1,000,000,000.
(13.7 g / 0.250 g) * 1,000,000,000 = 5480000000 ppb.
Therefore, the concentration of the pesticide in the solution is 5,480,000,000 ppb.
To express the concentration of pesticide in ppm (parts per million) and ppb (parts per billion), we need to calculate the number of parts of pesticide in the solution and then relate it to the total volume of the solution.
(a) To calculate the concentration in ppm:
1 ppm = 1 part per million = 1 x 10^-6
First, we need to determine the total mass of the solution by multiplying the volume (0.250 L) by the density (1.00 g/mL):
0.250 L * 1.00 g/mL = 0.250 g
The concentration of pesticide in ppm can be calculated by dividing the mass of the pesticide (13.7 g) by the total mass of the solution (0.250 g) and then multiplying by 1,000,000:
Concentration (in ppm) = (13.7 g / 0.250 g) x 1,000,000
To get the answer, divide the mass of the pesticide (13.7 g) by the total mass of the solution (0.250 g) and multiply by 1,000,000.
(b) To calculate the concentration in ppb:
1 ppb = 1 part per billion = 1 x 10^-9
Similar to the calculation for ppm, the concentration in ppb can be calculated by dividing the mass of the pesticide (13.7 g) by the total mass of the solution (0.250 g) and then multiplying by 1,000,000,000 (1 billion):
Concentration (in ppb) = (13.7 g / 0.250 g) x 1,000,000,000
Perform the division and multiplication to get the concentration of pesticide in ppb.
By following these calculations, you can express the concentration of pesticide in both ppm and ppb.