1) The equation is:
y = 0.05*x + 0.003
Substitute y = 0.300 as observed absorbance and solve for x
x = (y-0.003)/0.05 = (0.3-0.003)/0.05 = 5.94 mM
Thus the answer is option C) 5.94mM.
2)
0.2mL of original solution----> diluted to 25mL and solution B gives concentration = 3.00M
So, [Bi] in solution B = 3.00*10^-6 mol/L = 3.00*10^-9 mol/mL
Total [Bi] in 25mL = 25mL*3.00*10^-9mol/mL = 75*10^-9 mol
This is also the [Bi] in 0.2mL sample that is diluted.
so the [Bi] in original sample A = 75*10^-9 mol / 0.200mL = 375*10^-9 mol/mL
Volume of the original solution A = 30mL
Hence total [Bi] in original sample solution A = (375*10^-9 mol/mL)*30mL = 11.250*10^-6 mol
Molar mass of Bi = 208.98 g/mol
Mass of Bi in original sample = 208.98g/mol * (11.250*10^-6 mol) = 2351.025 *10^-6 g = 2.35 mg
Thus answer is option D) 2.35 mg
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