Question 1

Consider the reaction given by $$\begin{array} { l } 
M \stackrel { k _ { 1 } } { \longrightarrow } M _ { ads } ^ { + } + e ^ { - } \
\
M _ { a d s} ^ { + } \frac { k _ { 2 } } { \longleftarrow k _ { - 2 } } M _ { s o l } ^ { 2 + } + e ^ { - }
\end{array}$$ .
-In the same mechanism, the faradaic current is given by

Accepted Answer

A)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) \right]$$ 
B)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) + k _ { 2 } \theta - k _ { - 2 } ( 1 - \theta ) C _ { M _ { \mathbf { sol} } ^ { +2 } } \right]$$ 
C)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta + k _ { - 2 } ( 1 - \theta ) C _ { M _ { \mathbf { sol } } ^ { +2 } } \right]$$ 
D)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) + k _ { 2 } \theta + k _ { - 2 } ( 1 - \theta ) C _ { M _ { sol} ^ {{ +2 } } } \right]$$ 
A)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) \right]$$ 
B)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) + k _ { 2 } \theta - k _ { - 2 } ( 1 - \theta ) C _ { M _ { \mathbf { sol} } ^ { +2 } } \right]$$ 
C)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta + k _ { - 2 } ( 1 - \theta ) C _ { M _ { \mathbf { sol } } ^ { +2 } } \right]$$ 
D)  $$i _ { F } = F \left[ k _ { 1 } ( 1 - \theta ) + k _ { 2 } \theta + k _ { - 2 } ( 1 - \theta ) C _ { M _ { sol} ^ {{ +2 } } } \right]$$

Question 2

Consider the reaction $$\begin{array} { l } 
P _ { s o l }\underset { k _ { - 1 } } { \stackrel { k _ { 1 } } { \rightleftarrows } }Q _ { - s o l } + e ^ { - } \
A _ { s ol } ^ { - } \underset { k _ { - 2 } } { \stackrel { k _ { 2 } } { \rightleftarrows } } A _ { a d s } + e ^ { - } \
\end{array}$$

-If EIS is acquired for the above mechanism, the maximum number of loops that can manifest in a complex plane plot is _____

Accepted Answer

The answer of Consider the reaction \[\begin{array} { l }...

Question 3

An impedance spectrum of an electrochemical reaction could be modeled well by the equivalent circuit given below. The solution resistance was negligible, mass transfer was rapid, and there was not film formation on the surface.
   If a mechanism is proposed to explain the results, what is the minimum number of adsorbed intermediate species necessary to model the data? __________

Accepted Answer

The answer of An impedance spectrum of an electrochemical reaction...

Question 4

Consider the reaction $$\begin{array} { l } 
P _ { s o l }\underset { k _ { - 1 } } { \stackrel { k _ { 1 } } { \rightleftarrows } }Q _ { - s o l } + e ^ { - } \
A _ { s ol } ^ { - } \underset { k _ { - 2 } } { \stackrel { k _ { 2 } } { \rightleftarrows } } A _ { a d s } + e ^ { - } \
\end{array}$$

-The minimum number of dc potentials at which EIS must be acquired to avoid an infinite number of solutions is ______

Accepted Answer

The answer of Consider the reaction \[\begin{array} { l }...

Question 5

Consider the reaction given by $$\begin{array} { l } 
M \stackrel { k _ { 1 } } { \longrightarrow } M _ { ads } ^ { + } + e ^ { - } \
\
M _ { a d s} ^ { + } \frac { k _ { 2 } } { \longleftarrow k _ { - 2 } } M _ { s o l } ^ { 2 + } + e ^ { - }
\end{array}$$ .
-The complex plane plot of impedance spectra of the above reaction can exhibit at the most ______ loops

Accepted Answer

The answer of Consider the reaction given by \[\begin{array} {...

Question 6

Consider the reaction $$\left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] ^ { 4 - } \underset { k _ { - 1 } } { \longleftarrow } \left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] ^ { 3 - } + e ^ { - }$$ 
 The net reaction rate is given by

Accepted Answer

A)  $$k _ { 1 } \left[ F e ^ { 2 + } \right]$$ 
B)  $$k _ { 1 } \left[ F e ^ { 2 + } \right] - k _ { - 1 } \left[ F e ^ { 3 + } \right]$$ 
C)  $$k _ { 1 } \left[ F e ^ { 2 + } \right] + k _ { - 1 } \left[ F e ^ { 3 + } \right]$$ 
D)  none of the above 
A)  $$k _ { 1 } \left[ F e ^ { 2 + } \right]$$ 
B)  $$k _ { 1 } \left[ F e ^ { 2 + } \right] - k _ { - 1 } \left[ F e ^ { 3 + } \right]$$ 
C)  $$k _ { 1 } \left[ F e ^ { 2 + } \right] + k _ { - 1 } \left[ F e ^ { 3 + } \right]$$ 
D)  none of the above

Question 7

Negative real values of impedance indicate that

Accepted Answer

A)  there is a problem in the measurement 
B)  when a potential is applied, current flows in the opposite direction 
C)  when potential is increased, current decreases 
D)  the phase difference between the potential and current is 180 ° 
A)  there is a problem in the measurement 
B)  when a potential is applied, current flows in the opposite direction 
C)  when potential is increased, current decreases 
D)  the phase difference between the potential and current is 180 °

Question 8

Consider the reaction given by $$\begin{array} { l } 
M \stackrel { k _ { 1 } } { \longrightarrow } M _ { ads } ^ { + } + e ^ { - } \
\
M _ { a d s} ^ { + } \frac { k _ { 2 } } { \longleftarrow k _ { - 2 } } M _ { s o l } ^ { 2 + } + e ^ { - }
\end{array}$$ .
-For the above mechanism, the mid and low-frequency data, in the complex plane plot can exhibit

Accepted Answer

A)  capacitive loop 
B)  inductive loop 
C)  Warburg behavior 
D)  none of the above 
A)  capacitive loop 
B)  inductive loop 
C)  Warburg behavior 
D)  none of the above

Question 9

Consider the reaction $$\begin{array} { l } 
M \stackrel { k _ { 1 } } { \longrightarrow } M _ { a ds } ^ { + } + e ^ { - } \
M + M _ { a d s } ^ { + } \stackrel { k _ { 2 } } { \longrightarrow } M _ { a d s } ^ { + } + M _ { s o l } ^ { + } + e ^ { - } \
M _ { a d s } ^ { + } \stackrel { k _ { s } } { \longrightarrow } M _ { s o l } ^ { + }
\end{array}$$
-The minimum number of dc potentials at which EIS must be acquired to avoid an infinite number of solutions is ______

Accepted Answer

The answer of Consider the reaction \[\begin{array} { l }...

Question 10

When kinetics is rate-limiting, the faradaic impedance of a simple electron transfer reaction can be modeled as

Accepted Answer

A)  a simple resistor 
B)  a simple capacitor 
C)  a capacitor in parallel with a resistor 
D)  none of the above 
A)  a simple resistor 
B)  a simple capacitor 
C)  a capacitor in parallel with a resistor 
D)  none of the above

Question 11

Consider the reaction given by $$\begin{array} { l } 
M \stackrel { k _ { 1 } } { \longrightarrow } M _ { ads } ^ { + } + e ^ { - } \
\
M _ { a d s} ^ { + } \frac { k _ { 2 } } { \longleftarrow k _ { - 2 } } M _ { s o l } ^ { 2 + } + e ^ { - }
\end{array}$$ .
-In standard notation, the fractional surface coverage ($\theta$ ) of the adsorbed intermediate $$M _ { a ds } ^ { + }$$ 
is given by

Accepted Answer

A)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta - k _ { - 2 } C _ { M _ { a d } ^ { 2 + } }$$ 
B)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta + k _ { - 2 } C _ { M _ { sol } ^ { +2} } ( 1 - \theta )$$ 
C)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta$$ 
D)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 2 } C _ {M_ {sol } ^ { + 2 } }$$ 
A)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta - k _ { - 2 } C _ { M _ { a d } ^ { 2 + } }$$ 
B)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta + k _ { - 2 } C _ { M _ { sol } ^ { +2} } ( 1 - \theta )$$ 
C)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta$$ 
D)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 2 } C _ {M_ {sol } ^ { + 2 } }$$

Question 12

Consider a reaction given by $\begin{array} { l } 
M \underset { k _ { - 1 } } { \stackrel { k _ { 1 } } { \rightleftarrows } } M _ { a ds } ^ { + } + e ^ { - } \
M _ { a d s } ^ { + }\underset { k _ { - 2 } } { \stackrel { k _ { 2 } } { \rightleftarrows } } M _ { sol } ^ { + }
\end{array}$ .
-In the standard notation, the fractional surface coverage ($\theta$ ) of the adsorbed intermediate $$M _ { a t } ^ { + }$$ 
 is described by

Accepted Answer

A)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta$$ 
B)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 1 } \theta - k _ { 2 } \theta + k _ { - 2 } ( 1 - \theta ) C _ { M _ { 2a d } ^ { 2 + } }$$ 
C)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 1 } \theta$$ 
D)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 1 } \theta - k _ { 2 } \theta + k _ { - 2 } C _ { M _ { s a } ^ { 2+ } }$$ 
A)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { 2 } \theta$$ 
B)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 1 } \theta - k _ { 2 } \theta + k _ { - 2 } ( 1 - \theta ) C _ { M _ { 2a d } ^ { 2 + } }$$ 
C)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 1 } \theta$$ 
D)  $$\Gamma \frac { d \theta } { d t } = k _ { 1 } ( 1 - \theta ) - k _ { - 1 } \theta - k _ { 2 } \theta + k _ { - 2 } C _ { M _ { s a } ^ { 2+ } }$$

Question 13

Consider the reaction given by $$\begin{array} { l } 
M \stackrel { k _ { 1 } } { \longrightarrow } M _ { ads } ^ { + } + e ^ { - } \
\
M _ { a d s} ^ { + } \frac { k _ { 2 } } { \longleftarrow k _ { - 2 } } M _ { s o l } ^ { 2 + } + e ^ { - }
\end{array}$$ .
-In the same mechanism, the steady-state fractional surface coverage of the intermediate is given by

Accepted Answer

A)  $$\theta _ { s s } = \frac { k _ { 1 \dot { dc } } } { k _ { 1 \dot {dc } } + k _ { 2 dc } }$$ 
B)  $$\theta _ { s s } = \frac { k _ { 1 \dot {dc } } } { k _ { \mathrm { dc } } + k _ { 2 \dot { dc } } + k _ { - 2 \dot {dc } } }$$ 
C)  $$\theta _ { s s } = \frac { k _ { 1dc } + k _ { - 2dc } C _ { M _ { sol} ^ {+2} } } { k _ { 1dc } + k _ { 2 dc } + k _ {- 2 dc} C _ { M _ {sol} ^ { +2  }} }$$ 
D)  $$\theta _ { s s } = \frac { k _ { 1dc } - k _ { - 2dc} C _ { M _ { s ol } ^ { +2 } } } { k _ { 1 dc} + k _ { 2dc} + k _ { - 2dc } C _ { M _ {sol} ^ { +2 } } }$$ 
A)  $$\theta _ { s s } = \frac { k _ { 1 \dot { dc } } } { k _ { 1 \dot {dc } } + k _ { 2 dc } }$$ 
B)  $$\theta _ { s s } = \frac { k _ { 1 \dot {dc } } } { k _ { \mathrm { dc } } + k _ { 2 \dot { dc } } + k _ { - 2 \dot {dc } } }$$ 
C)  $$\theta _ { s s } = \frac { k _ { 1dc } + k _ { - 2dc } C _ { M _ { sol} ^ {+2} } } { k _ { 1dc } + k _ { 2 dc } + k _ {- 2 dc} C _ { M _ {sol} ^ { +2  }} }$$ 
D)  $$\theta _ { s s } = \frac { k _ { 1dc } - k _ { - 2dc} C _ { M _ { s ol } ^ { +2 } } } { k _ { 1 dc} + k _ { 2dc} + k _ { - 2dc } C _ { M _ {sol} ^ { +2 } } }$$

Consider the reaction given by M + + . -In the same mechanism, the faradaic current is given by

Consider the reaction + + -If EIS is acquired for the above mechanism, the maximum number of loops that can manifest in a complex plane plot is _____

Consider the reaction + + -The minimum number of dc potentials at which EIS must be acquired to avoid an infinite number of solutions is ______

Consider the reaction given by M + + . -The complex plane plot of impedance spectra of the above reaction can exhibit at the most ______ loops

Consider the reaction $\left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] ^ { 4 - } \underset { k _ { - 1 } } { \longleftarrow } \left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] ^ { 3 - } + e ^ { - }$ The net reaction rate is given by

Negative real values of impedance indicate that

Consider the reaction given by M + + . -For the above mechanism, the mid and low-frequency data, in the complex plane plot can exhibit

Consider the reaction M + M+ ++ -The minimum number of dc potentials at which EIS must be acquired to avoid an infinite number of solutions is ______

When kinetics is rate-limiting, the faradaic impedance of a simple electron transfer reaction can be modeled as

Consider the reaction given by M + + . -In standard notation, the fractional surface coverage ( $\theta$ ) of the adsorbed intermediate $M _ { a ds } ^ { + }$ is given by

Consider a reaction given by M + . -In the standard notation, the fractional surface coverage ( $\theta$ ) of the adsorbed intermediate $M _ { a t } ^ { + }$ is described by

Consider the reaction given by M + + . -In the same mechanism, the steady-state fractional surface coverage of the intermediate is given by

Introduction

Experimental Aspects

Data Validation

Data Analysis Equivalent Electrical Circuits

Eis Other Physical Phenomena

Nonlinear Eis

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Exam 5: Mechanistic Analysis

Consider the reaction given by M + + . -In the same mechanism, the faradaic current is given by

Consider the reaction + + -If EIS is acquired for the above mechanism, the maximum number of loops that can manifest in a complex plane plot is _____

Consider the reaction + + -The minimum number of dc potentials at which EIS must be acquired to avoid an infinite number of solutions is ______

Consider the reaction given by M + + . -The complex plane plot of impedance spectra of the above reaction can exhibit at the most ______ loops

Negative real values of impedance indicate that

Consider the reaction given by M + + . -For the above mechanism, the mid and low-frequency data, in the complex plane plot can exhibit

Consider the reaction M + M+ ++ -The minimum number of dc potentials at which EIS must be acquired to avoid an infinite number of solutions is ______

When kinetics is rate-limiting, the faradaic impedance of a simple electron transfer reaction can be modeled as

Consider the reaction given by M + + . -In standard notation, the fractional surface coverage ( θ\thetaθ ) of the adsorbed intermediate Mads+M _ { a ds } ^ { + }Mads+​ is given by

Consider a reaction given by M + . -In the standard notation, the fractional surface coverage ( θ\thetaθ ) of the adsorbed intermediate Mat+M _ { a t } ^ { + }Mat+​ is described by

Consider the reaction given by M + + . -In the same mechanism, the steady-state fractional surface coverage of the intermediate is given by

Introduction

Experimental Aspects

Data Validation

Data Analysis Equivalent Electrical Circuits

Eis Other Physical Phenomena

Nonlinear Eis

Filters

Consider the reaction given by M + + . -In standard notation, the fractional surface coverage ( $\theta$ ) of the adsorbed intermediate $M _ { a ds } ^ { + }$ is given by

Consider a reaction given by M + . -In the standard notation, the fractional surface coverage ( $\theta$ ) of the adsorbed intermediate $M _ { a t } ^ { + }$ is described by