To prepare a Cd 2+ standard, 0.280 g of cadmium metal is first dissolved in 50 mL of concentrated HCl, followed by dilution to 1.00 L. This solution is followed by another dilution that reduces the concentration by 100-fold. What is the concentration of the resulting solution? (in ppm)
a)
initially
mol of Cd = mass/MW = 0.28/112.4110 = 0.0024908 mol of Cd
Vinitial = 50 mL
[Cd+2] = mo/V = 0.0024908/(50*10^-3) = 0.049816 M after concentrted HCl
then
V next = 1 L
M1*V1 = M2*V2
M2 = M1*V1/V2 = 0.049816 * 50/1000 = 0.0024908 M of Cd+2 in 1 L mix
another dilution reduced to 100x
M3 = 1/100*M2 = 0.0024908/100 = 0.000024908 M
recall that
ppm = mg / kg
0.000024908 M = 0.000024908 mol / L = (0.000024908)(112.4110 ) = 0.002799 g = 0.002799*!0^3 mg = 2.799 mg
now 1 L = 1 kg approx
so
ppm = 2.799 mg / 1 kg = 2.799 ppm
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