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Ch.13 - Properties of Solutions
Chapter 13, Problem 39b

(b) An ore contains 2.86 g of silver per ton of ore. What is the concentration of silver in ppm?

Verified step by step guidance
1
Understand that ppm (parts per million) is a way of expressing very dilute concentrations of substances. It is equivalent to milligrams of solute per kilogram of solution.
Convert the mass of silver from grams to milligrams. Since 1 gram is equal to 1000 milligrams, multiply 2.86 grams by 1000 to get the mass in milligrams.
Recognize that 1 ton of ore is equivalent to 1,000,000 grams. This is because 1 ton is equal to 2000 pounds, and 1 pound is approximately 453.592 grams.
Calculate the concentration of silver in ppm by dividing the mass of silver in milligrams by the mass of the ore in grams, and then multiplying the result by 1,000,000 to convert to ppm.
Express the final concentration of silver in ppm, ensuring that the units are consistent and the calculation reflects the definition of ppm.