A solution contains 100 ppm of lead. Determine the mass of lead present in 0.500 kg of the solution
0.500 kg = 500 g = 500000 mg
1 ppm in 500000 mg is .5 mg ... 100 ppm is 50 mg
Well, to find the mass of lead present in the solution, we'll need to do a little math.
First, we need to convert the 0.500 kg of the solution to grams, since ppm is a measurement in parts per million. So, 0.500 kg is equivalent to 500 grams.
Next, we'll use the definition of parts per million (ppm) to calculate the mass of lead.
PPM is equal to (mass of solute / mass of solution) x 1,000,000.
In this case, the solute is lead, and the solution is the entire solution.
So, we can set up the equation like this:
100 ppm = (mass of lead / 500 grams) x 1,000,000.
We can cross multiply and solve for the mass of lead:
mass of lead = (100 ppm x 500 grams) / 1,000,000.
And after all these calculations, we find the mass of lead present in 0.500 kg of the solution is...Wait for it...0.05 grams!
To determine the mass of lead present in the solution, we need to calculate the total amount of lead in parts per million (ppm).
ppm is defined as parts per million, which means the number of parts of a substance in one million parts of a solution.
To calculate the mass of lead in the solution, we'll use the following formula:
Mass (lead) = Concentration (ppm) x Mass (solution) / 1,000,000
Given that the concentration of lead in the solution is 100 ppm and the mass of the solution is 0.500 kg, we can substitute these values into the formula:
Mass (lead) = 100 ppm x 0.500 kg / 1,000,000
Now, let's calculate the mass of lead:
Mass (lead) = 100 x 0.500 / 1,000,000
Mass (lead) = 0.050 grams
Therefore, the mass of lead present in 0.500 kg of the solution is 0.050 grams.
To determine the mass of lead present in the solution, we first need to convert the concentration of lead from parts per million (ppm) to a mass fraction.
1. Start by converting the concentration from ppm to a decimal fraction.
In this case, the concentration of lead is 100 ppm, which means there are 100 parts of lead for every one million parts of the solution.
To convert ppm to a decimal concentration, divide the ppm value by 1 million:
100 ppm / 1,000,000 = 0.0001
So, the concentration of lead in the solution is 0.0001.
2. Now, calculate the mass of lead present in the solution.
The mass fraction of lead can be calculated by multiplying the concentration by the mass of the solution.
Mass of lead = Concentration of lead × Mass of the solution
Mass of lead = 0.0001 × 0.500 kg
Mass of lead = 0.00005 kg
Therefore, the mass of lead present in 0.500 kg of the solution is 0.00005 kg, which can also be expressed as 50 mg (milligrams) or 50 μg (micrograms).