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In a common medical laboratory determination of the concentration of free chloride ion in blood serum, a serum sample is titrated with a Hg(NO3)2 solution.

2°ä±ô−(aq) + Hg(NO3)2(aq)⟶2±·°¿3−(aq) + HgCl2(s)

What is the Cl− concentration in a 0.25-mL sample of normal serum that requires 1.46 mL of 8.25×10−4MHg(NO3)2(aq) to reach the end point?

Short Answer

Expert verified

The requiredCl− concentration is 9.6 x 10-3 M

Step by step solution

01

Given Data

2Cl−(aq) + Hg(NO3)2(aq)⟶2±·°¿3−(aq) + HgCl2(s)

Hg(NO3)2(aq) = 8.25×10−4 M

Volume of Hg(NO3)2 = 1.46 mL = 0.01146 L

Sample volume = 0.25 mL = 2.5 x 10 -4 L

Molarity(M) = mol/ L

So, no of mol of Hg(NO3)2 = M x L

= 8.25×10−4 M x 0.00146 L

=1.2045 x 10-6 Hg(NO3)2

02

Determine concentration of Cl−

\(\begin{aligned}{}\frac{{1.2045{\rm{ }}x{\rm{ }}{{10}^{ - 6}}Hg{{\left( {N{O_3}} \right)}_2} \times 2\,mol\,of\,C{l^ - }}}{{1\,mol\,Hg{{\left( {N{O_3}} \right)}_2}}}\\ = 2.409 \times {10^{ - 6}}\,mol\,of\,C{l^ - }\end{aligned}\)

Required concentration of Cl

\(\begin{aligned}{} = \frac{{2.409 \times {{10}^{ - 6}}\,mol\,of\,C{l^ - }}}{{2.5 \times {{10}^{ - 4}}L}}\\ = 9.6 \times {10^{ - 3}}M\end{aligned}\)

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