The definition of ppm is 1g/10^6 g soln.
(1.5g/10^6 g soln) x 5.00E6 g soln = ? g .
(1.5g/10^6 g soln) x 5.00E6 g soln = ? g .
First, let's define what ppm means. It represents the number of parts of a particular substance in a million parts of the solution. In this case, 1.50 ppm chlorine means that there are 1.50 grams of chlorine in every 1,000,000 grams of the solution.
To calculate the mass of chlorine needed in the 5.00 x 10^6 g solution, we can set up the following equation:
(1.50 grams of chlorine / 1,000,000 grams of solution) = (x grams of chlorine / 5.00 x 10^6 grams of solution)
Cross multiplying, we can solve for x:
x grams of chlorine = (1.50 grams of chlorine * 5.00 x 10^6 grams of solution) / 1,000,000 grams of solution
x grams of chlorine = 7.50 x 10^6 / 1,000,000
x grams of chlorine = 7.50 g
Therefore, 7.50 grams of chlorine are needed to make 5.00 x 10^6 g of a solution that is 1.50 ppm chlorine by mass.