Final answer:
To find the volume of water containing 50.0 mg of cadmium with a concentration of 25 ppb, we can use the formula: Concentration (ppb) = Mass (mg) / Volume (L). Convert the concentration to ppm and rearrange the formula to solve for volume. The volume of water that contains 50.0 mg of cadmium is 2000 L.
Step-by-step explanation:
The concentration of cadmium in the water sample is given as 25 ppb (by mass), and we need to find the volume of water that contains 50.0 mg of cadmium. To solve this problem, we can use the formula:
Concentration (ppb) = Mass (mg) / Volume (L)
First, we need to convert the concentration of cadmium to ppm (parts per million). Since 1 ppm = 1000 ppb, the concentration in ppm would be 25 / 1000 = 0.025 ppm. Now, we can rearrange the formula to solve for volume:
Volume (L) = Mass (mg) / Concentration (ppm)
Substituting the given values, we have:
Volume (L) = 50.0 mg / 0.025 ppm = 2000 L
Therefore, a volume of 2000 L of water would contain 50.0 mg of cadmium.