Question 1

The value of modified Bessel function of zeroth order, at x= 0 , i.e. I₀(0) is ______

Accepted Answer

1 (exact)

Question 2

Taylor series expansion of sin(x) at x=0, in terms of 'x' is given by
A) $$x + \frac { x ^ { 3 } } { 3 } + \ldots$$
B) $$x - \frac { x ^ { 3 } } { 3 ! } + \ldots$$
C)
$$x - \frac { x ^ { 3 } } { 3 } + \ldots$$
D) $$x + \frac { x ^ { 3 } } { 3 ! } + \ldots$$

Accepted Answer

The Taylor series expansion of sin(x) at x=0 is $$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \ldots$$, which alternates between positive and negative terms, with factorial denominators.

Question 3

If EIS data is acquired immediately after applying the perturbations, data will not KKT complaint. This is because response violates the condition of
A) linearity
B) stability
C) causality
D) all of the above

Accepted Answer

B

Question 4

For an electrochemical system, when perturbation amplitude E_ac0 is increased, the nonlinear polarization resistance will A) increase B) decrease C) can increase or decrease D) will remain constant

Accepted Answer

The nonlinear polarization resistance is a function of the perturbation amplitude. Depending on the system and the specific perturbation, increasing the amplitude can either increase or decrease the nonlinear polarization resistance. Therefore, the correct answer is C - it can increase or decrease.

Question 5

A given electrochemical system at a given dc potential (E_dc), a direct current (i_dc), is recorded. When an ac perturbation is applied, the average current under steady-periodic conditions will be the same as i_dc. ?

Accepted Answer

The answer of A given electrochemical system at a given...

Question 6

For a given reaction, impedance under pseudo galvanostatic mode can be calculated using
A) Taylor series expansion
B) Fourier series expansion
C) numerical method
D) all of the above.

Accepted Answer

Numerical method is the most suitable choice for calculating impedance under pseudo galvanostatic mode as it involves solving complex non-linear equations, which cannot be easily simplified using other expansion methods. Numerical methods can handle any type of complex equation and are accurate and reliable. Taylor and Fourier series expansion are not suitable for this case as they are more suitable for linear systems and have limited accuracy for non-linear systems.

Question 7

If an electrochemical system is unstable, the effects manifest in impedance spectra mainly at
A) low frequencies
B) mid frequencies
C) high frequencies
D) all of the above

Accepted Answer

Unstable electrochemical systems usually result in low-frequency deviations in the impedance spectra, indicating poor electrode stability or insufficient ion transport.

Question 8

An electrochemical reaction is characterized using EIS. In the first experiment, the solution resistance is made negligible by the addition of supporting electrolyte. In the second experiment, the solution resistance is large, due to a lack of supporting electrolyte. All other conditions remain the same. The latter case will differ from the former A) only in Z_Re, B) only in Z_Im C) in both Z_Re and Z_Im D) will not be different.

Accepted Answer

Both the real and imaginary components of the impedance (Z_Re and Z_Im) will be different in the second experiment with high solution resistance. This is because the solution resistance affects the conductivity of the solution, which in turn affects the impedance measurements. Therefore, both real and imaginary components of the impedance will be affected.

Question 9

In case of reaction with adsorbed intermediates, when there is repulsion between the adsorbed species, it is best described by
A) Langmuir isotherm
B) Frumkin isotherm
C) Temkin isotherm
D) none of the above

Accepted Answer

The repulsion between adsorbed species is best described by the Frumkin isotherm, which takes into account the interaction between adsorbed species. The Langmuir isotherm assumes no interaction between adsorbed species, while the Temkin isotherm is more suitable for physical adsorption on heterogeneous surfaces. Therefore, B is the best choice.

Question 10

Solution resistance can be measured using
A) EIS
B) Linear Polarization,
C) Potentiodynamic Polarization
D) Harmonic analysis

Accepted Answer

Electrochemical Impedance Spectroscopy (EIS) is a technique that can measure the impedance or resistance of a system as a function of frequency. It is widely used for corrosion studies and can give valuable information about the solution resistance of an electrochemical cell. Linear Polarization and Potentiodynamic Polarization are techniques for measuring polarization resistance, which is not the same as solution resistance. Harmonic analysis is not typically used for measuring solution resistance.

Question 11

In a given system, EIS was acquired at multiple perturbation amplitudes, and all of them yielded the same data. Therefore, higher harmonics are negligible.

Accepted Answer

The answer of In a given system, EIS was acquired...

Question 12

In linear polarization measurement, the slope of current to potential yields A) R_p B) R_sol C) R_p+R_sol D) R_p-R_sol.

Accepted Answer

The slope of current to potential in linear polarization measurement yields the sum of the polarization resistance of the porous layer (R_p) and the solution resistance (R_sol), indicating the total resistance the current faces.

Question 13

In NLEIS, frequency response function (FRF) A) increase with E_ac0, B) decrease with E_ac0 C) can increase or decrease with E_ac0 D) are independent of E_ac0

Accepted Answer

The answer of In NLEIS, frequency response function (FRF)
A) increase...

Question 14

Taylor series expansion of cos(x) at x=0, in terms of 'x' is given by
A) $$1 - \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \ldots$$
B) $$1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 4 } - \ldots$$
C) $$1 + \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \ldots$$
D) $$1 + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 4 } - \ldots$$

Accepted Answer

The Taylor series expansion of $\cos(x)$ at $x=0$ includes only even powers of $x$ with alternating signs, starting with 1, and each term is divided by the factorial of its power, matching option A.

Question 15

When EIS is acquired experimentally, it is desirable to apply sinusoidal perturbation and acquire data after some time because
A) system response would be steady periodic
B) the signal to noise will be better
C) both of the above
D) none of the above

Accepted Answer

The answer of When EIS is acquired experimentally, it is...

Question 16

When EIS is acquired experimentally, it is desirable to acquire data for multiple cycles because
A) system response would be steady periodic
B) the signal to noise will be better
C) both of the above
D) none of the above

Accepted Answer

The answer of When EIS is acquired experimentally, it is...

Question 17

For a reaction with one or more intermediates, at a given perturbation amplitude, the amplitude of oscillation in fractional surface coverage
A) decreases with frequency
B) increases with frequency
C) can increase or decrease with frequency
D) is independent of frequency

Accepted Answer

The answer of For a reaction with one or more...

Question 18

The effect of instabilities on EIS data can be identified using ______ (one word)

Accepted Answer

The answer of The effect of instabilities on EIS data...

Question 19

Empirical evidence suggests that direct integration of KKT relations will not flag EIS acquired under large-signal conditions, if
A) current potential relationship is exponential
B) current potential relationship is linear
C) both of the above
D) none of the above

Accepted Answer

Empirical evidence suggests that direct integration of Karush-Kuhn-Tucker (KKT) relations may not effectively flag Electrochemical Impedance Spectroscopy (EIS) data acquired under large-signal conditions when the current-potential relationship is either exponential or linear, as both conditions can complicate the analysis.

Question 20

In case of reaction with adsorbed intermediates, when some sites are energetically favorable compared to other sites, it is best described by
A) Langmuir isotherm
B) Temkin isotherm
C) Frumkin isotherm
D) none of the above

Accepted Answer

The Temkin isotherm accounts for interactions between adsorbed molecules and assumes that the heat of adsorption of all the molecules in the layer decreases linearly with coverage due to adsorbate-adsorbate interactions. This makes it suitable for describing scenarios where some sites are energetically more favorable than others.

Quiz 8: Nonlinear Eis

The value of modified Bessel function of zeroth order, at x= 0 , i.e. I0(0) is ______

Taylor series expansion of sin(x) at x=0, in terms of 'x' is given by

If EIS data is acquired immediately after applying the perturbations, data will not KKT complaint. This is because response violates the condition of

For an electrochemical system, when perturbation amplitude Eac0 is increased, the nonlinear polarization resistance will

A given electrochemical system at a given dc potential (Edc), a direct current (idc), is recorded. When an ac perturbation is applied, the average current under steady-periodic conditions will be the same as idc. ?

For a given reaction, impedance under pseudo galvanostatic mode can be calculated using

If an electrochemical system is unstable, the effects manifest in impedance spectra mainly at

In case of reaction with adsorbed intermediates, when there is repulsion between the adsorbed species, it is best described by

Solution resistance can be measured using

In a given system, EIS was acquired at multiple perturbation amplitudes, and all of them yielded the same data. Therefore, higher harmonics are negligible.

In linear polarization measurement, the slope of current to potential yields

In NLEIS, frequency response function (FRF)

Taylor series expansion of cos(x) at x=0, in terms of 'x' is given by

When EIS is acquired experimentally, it is desirable to apply sinusoidal perturbation and acquire data after some time because

When EIS is acquired experimentally, it is desirable to acquire data for multiple cycles because

For a reaction with one or more intermediates, at a given perturbation amplitude, the amplitude of oscillation in fractional surface coverage

The effect of instabilities on EIS data can be identified using ______ (one word)

Empirical evidence suggests that direct integration of KKT relations will not flag EIS acquired under large-signal conditions, if

In case of reaction with adsorbed intermediates, when some sites are energetically favorable compared to other sites, it is best described by

The value of modified Bessel function of zeroth order, at x= 0 , i.e. I₀(0) is ______

For an electrochemical system, when perturbation amplitude E_ac0 is increased, the nonlinear polarization resistance will

A given electrochemical system at a given dc potential (E_dc), a direct current (i_dc), is recorded. When an ac perturbation is applied, the average current under steady-periodic conditions will be the same as i_dc. ?