A water sample contains 0.005 g of sodium (Na) in 1.0 L of water. What is the concentration of sodium in parts per million (ppm)?
A
500 ppm
B
50 ppm
C
0.5 ppm
D
5 ppm
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1
Understand that parts per million (ppm) is defined as the mass of solute per million parts of solution, often expressed as mg of solute per liter of solution for dilute aqueous solutions.
Convert the mass of sodium from grams to milligrams because ppm is typically expressed in mg/L. Use the conversion: \(1\ \text{g} = 1000\ \text{mg}\).
Since the volume of the water sample is 1.0 L, the concentration in ppm can be calculated by dividing the mass of sodium in mg by the volume in liters (which is 1.0 L here).
Write the formula for ppm concentration as: \(\text{ppm} = \frac{\text{mass of solute in mg}}{\text{volume of solution in L}}\).
Substitute the values into the formula and simplify to find the concentration of sodium in ppm.