Question #8ff57
1 Answer
Here's what I got.
Explanation:
Concentrations in parts per million, or ppm, are used when dealing with very, very small amounts of solutes.
More specifically, a concentration of
When dealing with concentrations in ppm, it is safe to assume that the density of the solution will be equal to that of the solvent. In this case, if you take water's density to be equal to approximately
#100color(red)(cancel(color(black)("mL"))) * "1 g"/(1color(red)(cancel(color(black)("mL")))) = "100 g"#
Mathematically, you can describe the concentration in ppm like this
#color(blue)("% ppm" = "mass of solute in grams"/"mass of solvent in grams" xx 10^6)#
Now, you need the solution to be
#m_(Na^(+)) = (20 * m_"water")/10^6#
#m_(Na^(+)) = (20 * "100 g")/10^6 = 2000 * 10^(-6)"g" = 2 * 10^(-3)"g" = "2 mg"#
So, you need the solution to contain
#( 22.989770 color(red)(cancel(color(black)("g/mol"))))/(58.44277color(red)(cancel(color(black)("g/mol")))) xx 100 = "39.34% Na"#
This means that very
#2 color(red)(cancel(color(black)("mg Na"))) * "100 mg NaCl"/(39.34 color(red)(cancel(color(black)("mg Na")))) = "5.08 mg NaCl"#
Rounded to one sig fig, the answer will be
#m_"NaCl" = color(green)("5 mg")#
So, to get a solution that is