I need help on finding the original unknown concentration in question 5-17 of th
ID: 540720 • Letter: I
Question
I need help on finding the original unknown concentration in question 5-17
Explanation / Answer
Ans. 5.17. Given, 1.0 mL of 0.050 M standard analyte is added to 100.0 mL unknown solution.
Final volume of resultant solution = 1.0 mL (Std. analyte) + 100.0 mL (unknown)
= 101.0 mL
Now, final [Analyte] in the working solution (101.0 mL) can be calculated using-
C1V1 (Standard analyte)= C2V2 (spiked unknown)
Or, C2 = (C1 V1) / V2 = (0.050 M X 1.0 mL) / 101.0 mL = 4.9505 x 10-4 M
Hence, [analyte] in spiked unknown solution = 4.9505 x 10-4 M
# Given, signal of spiked unknown solution = 14.0 mV
Signal of un-spiked unknown solution = 10.0 mV
Increase in signal due to spiking = 14.0 mV – 10.0 mV = 4.0 mV
Since, the increase in signal by 4.0 mV is solely due to addition of analyte-standard, a signal of 4.0 mV units is equivalent to 4.9505 x 10-4 M analyte - the increase in [analyte] due to spiking.
So,
4.0 mV of signal is equivalent to 4.9505 x 10-4 M analyte
Or, 10.0 mV - - - (4.9505 x 10-4 M / 4.0 mV) x 10.0 mV
= 1.238 x 10-3 M
That is, the signal 4.0 mV unit for un-spiked unknown solution 1.238 x 10-3 M.
Thus, [analyte] in original unknown solution = 1.238 x 10-3 M
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