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23.4: Molecular-Selective Electrode Systems

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Apr 21, 2023
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- 23.3: Membrane Ion-Selective Electrodes
- 23.5: Instruments for Measuring Cell Potentials

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The electrodes in Chapter 23.3 are selective toward ions. In this section we consider how we can incorporate an ion-selective electrode into an electrode that responds to neutral species, such as volatile analytes, such as CO₂ and NH₃, and biochemically important compounds, such as amino acids and urea.

Gas-Sensing Membrane Electrodes

A number of membrane electrodes respond to the concentration of a dissolved gas. The basic design of a gas-sensing electrode, as shown in Figure $\PageIndex{1}$ , consists of a thin membrane that separates the sample from an inner solution that contains an ion-selective electrode. The membrane is permeable to the gaseous analyte, but impermeable to nonvolatile components in the sample’s matrix. The gaseous analyte passes through the membrane where it reacts with the inner solution, producing a species whose concentration is monitored by the ion-selective electrode. For example, in a CO₂ electrode, CO₂ diffuses across the membrane where it reacts in the inner solution to produce H₃O⁺.

$\mathrm{CO}_{2}(a q)+2 \mathrm{H}_{2} \mathrm{O}(l)\rightleftharpoons\text{ HCO}_{3}^{-}(a q)+\text{ H}_{3} \mathrm{O}^{+}(a q) \label{gas1}$

The change in the activity of H₃O⁺ in the inner solution is monitored with a pH electrode, for which the cell potential, from Chapter 23.3, is

$E_\text{cell} = K + 0.05916 \log a_{\ce{H+}} \label{gas2}$

To find the relationship between the activity of H₃O⁺ in the inner solution and the activity of CO₂ in the inner solution we rearrange the equilibrium constant expression for reaction $\ref{gas1}$ ; thus

$a_{\mathrm{H}_{3} \mathrm{O}^{+}}=K_{\mathrm{a}} \times \frac{a_{\mathrm{CO}_{2}}}{a_{\mathrm{HCO}_{3}^{-}}} \label{gas3}$

where K_a is the equilibrium constant. If the activity of $\text{HCO}_3^-$ in the internal solution is sufficiently large, then its activity is not affected by the small amount of CO₂ that passes through the membrane. Substituting Equation $\ref{gas3}$ into Equation $\ref{gas2}$ gives

$E_{\mathrm{cell}}=K^{\prime}+0.05916 \log a_{\mathrm{co}_{2}} \label{gas4}$

where K′ is a constant that includes the constant for the pH electrode, the equilibrium constant for reaction $\ref{gas1}$ and the activity of $\text{HCO}_3^-$ in the inner solution.

Figure $\PageIndex{1}$ . Schematic diagram of a gas-sensing membrane electrode.

Table $\PageIndex{1}$ lists the properties of several gas-sensing electrodes. The composition of the inner solution changes with use, and both the inner solution and the membrane must be replaced periodically. Gas-sensing electrodes are stored in a solution similar to the internal solution to minimize their exposure to atmospheric gases.

Table $\PageIndex{1}$ . Representative Examples of Gas-Sensing Electrodes
analyte	inner solution	reaction in inner solution	ion-selective electrode
CO₂	10 mM NaHCO₃ 10 mM NaCl	$\mathrm{CO}_{2}(a q)+2 \mathrm{H}_{2} \mathrm{O}(l ) \rightleftharpoons \\ \text{ HCO}_{3}^{-}(a q)+\text{ H}_{3} \mathrm{O}^{+}(a q)$	glass pH ISE
HCN	10 mM KAg(CN)₂	$\mathrm{HCN}(a q)+\mathrm{H}_{2} \mathrm{O}(l )\rightleftharpoons \\ \mathrm{CN}^{-}(a q)+\text{ H}_{3} \mathrm{O}^{+}(a q)$	Ag₂S solid-state ISE
HF	1 M H₃O⁺	$\mathrm{HF}(a q)+\mathrm{H}_{2} \mathrm{O}(l)\rightleftharpoons \\ \mathrm{F}^{-}(a q)+\text{ H}_{3} \mathrm{O}^{+}(a q)$	F^– solid-state ISE
H₂S	pH 5 citrate buffer	$\mathrm{H}_{2} \mathrm{S}(a q)+\text{ H}_{2} \mathrm{O}(l )\rightleftharpoons \\ \mathrm{HS}^{-}(a q)+\text{ H}_{3} \mathrm{O}^{+}(a q)$	Ag₂S solid state ISE
NH₃	10 mM NH₄Cl 0.1 M KNO₃	$\mathrm{NH}_{3}(a q)+\text{ H}_{2} \mathrm{O}(l)\rightleftharpoons \\ \mathrm{NH}_{4}^{+}(a q)+\text{ OH}^{-}(a q)$	glass pH ISE
NO₂	20 mM NaNO₂ 0.1 M KNO₃	$2 \mathrm{NO}_{2}(a q)+3 \mathrm{H}_{2} \mathrm{O}(l)\rightleftharpoons \\ {\mathrm{NO}_{3}^{-}(a q)+\text{ NO}_{2}^{-}(a q)+2 \mathrm{H}_{3} \mathrm{O}^{+}(a q)}$	glass pH ISE
SO₂	1 mM NaHSO₃ pH 5	$\mathrm{SO}_{2}(a q)+2 \mathrm{H}_{2} \mathrm{O}(l )\rightleftharpoons \\ \mathrm{HSO}_{3}^{-}(a q)+\text{ H}_{3} \mathrm{O}^{+}(a q)$	glass pH ISE
Source: Cammann, K. Working With Ion-Selective Electrodes, Springer-Verlag: Berlin, 1977.

Biocatalytic Membrane Electrodes

The approach for developing gas-sensing electrodes can be modified to create potentiometric electrodes that respond to a biochemically important species. The most common class of potentiometric biosensors are enzyme electrodes, in which we trap or immobilize an enzyme at the surface of a potentiometric electrode. The analyte’s reaction with the enzyme produces a product whose concentration is monitored by the potentiometric electrode. Potentiometric biosensors also have been designed around other biologically active species, including antibodies, bacterial particles, tissues, and hormone receptors.

One example of an enzyme electrode is the urea electrode, which is based on the catalytic hydrolysis of urea by urease

$\mathrm{CO}\left(\mathrm{NH}_{2}\right)_{2}(a q)+2 \mathrm{H}_{2} \mathrm{O}(l)\rightleftharpoons 2 \mathrm{NH}_{4}^{+}(a q)+\text{ CO}_{3}^{-}(a q) \label{bio1}$

Figure $\PageIndex{2}$ shows one version of the urea electrode, which modifies a gas-sensing NH₃ electrode by adding a dialysis membrane that traps a pH 7.0 buffered solution of urease between the dialysis membrane and the gas permeable membrane [(a) Papastathopoulos, D. S.; Rechnitz, G. A. Anal. Chim. Acta 1975, 79, 17–26; (b) Riechel, T. L. J. Chem. Educ. 1984, 61, 640–642]. An NH₃ electrode, as shown in Table $\PageIndex{1}$ , uses a gas-permeable membrane and a glass pH electrode. The NH₃ diffuses across the membrane where it changes the pH of the internal solution.

Schematic diagram showing an enzyme-based potentiometric biosensor for urea. A solution of the enzyme urease is trapped between a dialysis membrane and a gas permeable membrane. Urea diffuses across the dialysis membrane and reacts with urease, producing NH3 that diffuses across the gas permeable membrane. The resulting change in the internal solution’s pH is measured with the pH electrode. — Figure $\PageIndex{2}$ . Schematic diagram showing an enzyme-based potentiometric biosensor for urea. A solution of the enzyme urease is trapped between a dialysis membrane and a gas permeable membrane. Urea diffuses across the dialysis membrane and reacts with urease, producing NH₃ that diffuses across the gas permeable membrane. The resulting change in the internal solution’s pH is measured with the pH electrode.

When immersed in the sample, urea diffuses through the dialysis membrane where it reacts with the enzyme urease to form the ammonium ion, $\text{NH}_4^+$ , which is in equilibrium with NH₃.

$\mathrm{NH}_{4}^{+}(a q)+\mathrm{H}_{2} \mathrm{O}(l ) \rightleftharpoons \text{ H}_{3} \mathrm{O}^{+}(a q)+\text{ NH}_{3}(a q) \label{bio2}$

The NH₃, in turn, diffuses through the gas permeable membrane where a pH electrode measures the resulting change in pH. The electrode’s response to the concentration of urea is

$E_{\text {cell }}=K-0.05916 \log a_{\text {urea }} \label{bio3}$

Another version of the urea electrode (Figure $\PageIndex{3}$ ) immobilizes the enzyme urease in a polymer membrane formed directly on the tip of a glass pH electrode [Tor, R.; Freeman, A. Anal. Chem. 1986, 58, 1042–1046]. In this case the response of the electrode is

$\mathrm{pH}=K a_{\mathrm{urea}} \label{bio4}$

Figure $\PageIndex{3}$ . Schematic diagram of an enzyme-based potentiometric biosensor for urea in which urease is immobilized in a polymer membrane coated onto the pH-sensitive glass membrane of a pH electrode.

Few potentiometric biosensors are available commercially. As shown in Figure $\PageIndex{2}$ and Figure $\PageIndex{3}$ , however, it is possible to convert an ion-selective electrode or a gas-sensing electrode into a biosensor. Several representative examples are described in Table $\PageIndex{2}$ , and additional examples can be found in this chapter’s additional resources.

Table $\PageIndex{2}$ . Representative Examples of Potentiometric Biosensors
analyte	biologically active phase	substance determined
$5^{\prime}$ -AMP	AMP-deaminase (E)	NH₃
L-arginine	arginine and urease (E)	NH₃
asparagine	asparaginase (E)	$\text{NH}_4^+$
L-cysteine	Proteus morganii (B)	H₂S
L-glutamate	yellow squash (T)	CO₂
L-glutamine	Sarcina flava (B)	NH₃
oxalate	oxalate decarboxylase (E)	CO₂
penicillin	penicllinase (E)	H₃O⁺
L-phenylalanine	L-amino acid oxidase/horseradish peroxidase (E)	I^–
sugars	bacteria from dental plaque (B)	H₃O⁺
urea	urease (E)	NH₃ or H₃O⁺
Source: Complied from Cammann, K. Working With Ion-Selective Electrodes, Springer-Verlag: Berlin, 1977 and Lunte, C. E.; Heineman, W. R. “Electrochemical techniques in Bioanalysis,” in Steckham, E. ed. Topics in Current Chemistry, Vol. 143, Springer-Verlag: Berlin, 1988, p.8. Abbreviations for biologically active phase: E = enzyme; B = bacterial particle; T = tissue.

Gas-Sensing Membrane Electrodes

Biocatalytic Membrane Electrodes

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