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Test: Reference Half Cells & Nernst Equations - JEE MCQ


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29 Questions MCQ Test Chemistry for JEE Main & Advanced - Test: Reference Half Cells & Nernst Equations

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Test: Reference Half Cells & Nernst Equations - Question 1

Only One Option Correct Type

This section contains 18 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE is correct.

Q.

Which cell will measure the standard electrode potential of zinc electrode?

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 1

Standard electrode potential is the potential difference under standard state, i.e.
When [Mn+] = 1M
It can be measured by coupling it with SHE electrode
Pt (s) | H2(gr. 1 bar) | H+ (1.0 M)

Test: Reference Half Cells & Nernst Equations - Question 2

For the following cell with hydrogen electrodes at two different  pressure pand p

 emf is given by

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 2

For SHE E°SHE = 0.00 V
Oxidation at anode (left)

Reduction at cathode (right) 
Net

This is the type of the cell in which electrodes at different pressures are dipped in same electrolyte and connectivity is made by a salt-bridge.

Reaction Quotient (Q) 

∵ 

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Test: Reference Half Cells & Nernst Equations - Question 3

For the cell,

Thus (x/y) is

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 3

This is a type of concentration cell using hydrogen electrode as anode and cathode.





Test: Reference Half Cells & Nernst Equations - Question 4

A solution of Fe2+  is titrated potentiometrically using Ce4+ solution.

Fe2+ → Fe3+ + e- , E0 = -0.77 V

emf of the Pt | Fe2+ , Fe3+ pair at 50% and 90% titration of Fe2+ are   

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 4

When Fe2+ is 50% titrated

=

where Fe2+ is 90% titrated

 

*Multiple options can be correct
Test: Reference Half Cells & Nernst Equations - Question 5

Two half-cells are given

Ag | AgCl | KCl (0.2 M), Ag | AgBr | KBr (0.001 M),

Ksp(AgCl) = 2.8 x 10-10, Ksp (AgBr) = 3.3 x 10 -13

For a spontaneous cell reaction, cell set up is    

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 5

Ksp (AgCI) = 2.8 x 10-10
[Ag+] [Cl-] = 2 .8 x 10-10
 

∴ [Ag+]left = 
Ksp (AgBr) = 3.3 x 10-12 
[Ag+][Br-] = 3.3 x 10-13

∴ [Ag+]left =  

Net

= -0.037 V
Thus, cell reaction is non-spontaneous
(b) Cell is reversed of (a), thus spontaneous.

Test: Reference Half Cells & Nernst Equations - Question 6

In the following cell at 298 K,two weak acids (HA) and (HB) with pKa (HA) = 3 and pKa (HB) = 5 of equal molarity have been used as shown.

Thus, emf of the cell is   

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 6


For weak acid by Ostwald's dilution law




= 0 - 0.0591 [log [H+]L - log [H+]R]
= 0.0591 [-log (H+)L - (-log (H+)R]
= 0.0591 [(pH)HA - (pH)HB]
= + 0.0591 [1.5 - 2.5]= - 0.0591

Test: Reference Half Cells & Nernst Equations - Question 7

A concentration cell reversible to anion (Cl-) is set up

   

cell reaction is spontaneous ,if 

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 7

This is a type of concentration cell with gas electrodes at the same pressure (1 bar) but dipped in aqueous solution of different concentration. Hence, a potential difference is set up.

At anode 

At cathode




To make cell reaction spontaneous, Ecell > 0, hence C, > C2

Test: Reference Half Cells & Nernst Equations - Question 8

Which has the maximum potential at 298 K (numerical value) for the half-cell reaction?

2H+ + 2e-  → H2 (1 bar)   

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 8

2H+ + 2e- → H2
This represents reduction half-cell reaction 


(a) [H+] = 1 M, E = 0
(b) pH = 4, [H+] = 10-4M
∴ E = 0.0591 log 10-4
= - 4 x 0.0591 = - 0.2364 V
(c) Pure water, [H+] = 10-7M
∴ E = 0.0591 log 10-7
= - 7 x 0,0591 = - 0.4137 V
(d) 1.0 M NaOH
[OH-] = 1 M

∴ E = 0.0591 log 1 x 10-14
= -14 x 0.0591
= - 0.8274 V (maximum)

Test: Reference Half Cells & Nernst Equations - Question 9

For the cell,  and for the cell Pt(H2) | H+ (1M)| Ag,  

Thus Ecell for the

Ag|Ag+ (0.1M) || Zn2+ (0.1M) | Zn is  ....................and cell reaction is...............

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 9








Ecell < 0, hence reaction is non-spontaneous.

Test: Reference Half Cells & Nernst Equations - Question 10

Consider the following cell reaction,

2Fe(s) + O2(g) + 4H+ (aq) →2Fe2+ (aq) + 2H2O(l) , E°= 1.67 V

At [Fe2+] = 1 x 10-3 M.  and pH = 3,the cell potential at 298 K is 

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 10

pH = 3, [H+] = 10-3M

Electrons involved n = 4 

  

Test: Reference Half Cells & Nernst Equations - Question 11

For the following cell with gas electrodes at p1 and p2 as shown:

Cell reaction is spontaneous , if  

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 11

This is a type of concentration cell in which two electrodes are at different pressure but dipped in same electrolyte. Salt-bridge is used to make connectivity and liquid junction potential is minimised and
cell = 0.00V



Test: Reference Half Cells & Nernst Equations - Question 12

For the half-cell, Cl-|Hg2Cl2, Hg(l), E = 0.280V at 298K electrode potential has maximum value when KCl used is 

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 12

Cl- / Hg2CI2, Hg (/)
This is reduction half-cell
Hg2CI2(s) + 2e- → 2Hg (/) + 2Cl- 
Reaction quotient (Q) = [Cl-]2

Thus, larger the value of [Cl-], smaller the value of Ecaiomel.
 


Test: Reference Half Cells & Nernst Equations - Question 13

Given at 298 K standard oxidation potential of quinhydrone electrode = -0.699 V Standard oxidation potential of calomel electrode = -0.268 V

Thus, emf of the cell at 298 K is 

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 13








Test: Reference Half Cells & Nernst Equations - Question 14

E°red (standard reduction electrode potentials) of different half-cell are given

   

In which cell , is ΔG° most negative?

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 14






In (b) E°cell is most positive, then ΔG° is most negative.

Test: Reference Half Cells & Nernst Equations - Question 15

Given the following half-cell reactions and corresponding reduction potentials: 

Which combination of two half-cell would result in a cell with largest (E°cell > 0)?   

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 15

(a)

Oxidation

C3- → C- + 2e-        E0 = 1.25 V

Reduction 

Test: Reference Half Cells & Nernst Equations - Question 16

For

 

Then E° for the reaction    

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 16



Test: Reference Half Cells & Nernst Equations - Question 17

Following half-cell, Pt (H2)|H2O behaves as SHE at a pressure of

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 17

Pt(H2)| H2O
This is oxidation half-cell. Instead of
[H+] = 1 M and pH2 = 1 bar
H2O has been taken as a source of [H+]




Test: Reference Half Cells & Nernst Equations - Question 18

Electrode potential of the following half-cell is dependent on
Hg, HgO |OH-(aq)

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 18




Thus, electrode potential is dependent on (i) pH, (ii) temperature.

*Multiple options can be correct
Test: Reference Half Cells & Nernst Equations - Question 19

One or More than One Options Correct Type

This section contains 4 multiple type questions. Each question has 4 choices (a), (b), (c) and (d), out of which ONE or MORE THAN ONE are correct.

Q.

Select the correct statement(s).

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 19

a) If salt-bridge is removed, anodic and cathodic solution intermix and potential difference falls to zero — correct.

Quinhydrone is a mixture of A and S in (1:1) molar ratio joined by H-bonding. Above equilibrium is set up in aqueous solution.

If [H+] changes, EQH also changes. Thus, quinhydrone electrode is reversible to H+ ion correct
(c) Liquid junction potential is minimised by use of concentration cell— correct.
(d) Calomel electrode is Hg(/), Hg2Cl2 (s)| Cl-.
Thus, (d) is incorrect.

*Multiple options can be correct
Test: Reference Half Cells & Nernst Equations - Question 20

In the following electrochemical cell.
Zn cell Zn2+ ||H| Pt (H2)

Ecell = E°cell if

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 20




*Multiple options can be correct
Test: Reference Half Cells & Nernst Equations - Question 21

For Daniell cell E°cell = 1.10 V. If state of equilibrium is attained, then

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 21

Reaction taking place in a Daniell cell is

Zn(s) + Cu2+ (1M)  Cu(s) + Zn2+ (1M),  




*Multiple options can be correct
Test: Reference Half Cells & Nernst Equations - Question 22

Select the half-cell for the half-cell reaction(s) to be spontaneous

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 22






Test: Reference Half Cells & Nernst Equations - Question 23

Comprehension Type

This section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)

Passage I

1.05 g of lead ore containing impurity of Ag was dissolved in HNO3 and the volume was made 350 mL. A silver electrode was dipped in the solution and Ecell of Pt(H2) | H+ (1M)|| Ag+| Ag was 0.500 V at 298 K. E°Ag+/Ag = 0.80 V

Q.

Pure [Ag+] in the ore is    

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 23

Cell Reaction

∴ x = 8.4 x 10-6 M

[Ag+] = 8.4 x 10-6 mol L-1

Test: Reference Half Cells & Nernst Equations - Question 24

Passage I

1.05 g of lead ore containing impurity of Ag was dissolved in HNO3 and the volume was made 350 mL. A silver electrode was dipped in the solution and Ecell of Pt(H2) | H+ (1M)|| Ag+| Ag was 0.500 V at 298 K. E°Ag+/Ag = 0.80 V

Q.

Percentage of silver in the sample is      

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 24

Cell Reaction

∴ x = 8.4 x 10-6 M

[Ag+] = 8.4 x 10-6 mol L-1

= 8.4 x 10-6 x 0.350 mol in 350 mL

= 8.4 x 10-6 x 0.350 x 108 g in 350 mL

= 3.1752 x 10-4 g in 1.05 g sample

Test: Reference Half Cells & Nernst Equations - Question 25

Passage II

For the following,

Q.

pH of the solution in the half-cell containing 0.02 HA is(HA is a weak monobasic acid)   

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 25

Anodic

Cathodic

Reaction quotient (Q) 





Test: Reference Half Cells & Nernst Equations - Question 26

Passage II

For the following,

Q.

pKa of the weak monobasic acid is  

Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 26

Anodic

Cathodic

Reaction quotient (Q) 



*Answer can only contain numeric values
Test: Reference Half Cells & Nernst Equations - Question 27

One Integer Value Correct Type

This section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive)

Q.

For the following cell with metal X electrodes, 

Ecell = -0.028 V at 298 K, if there is no liquid juncton potential,valency of X is.......  


Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 27




*Answer can only contain numeric values
Test: Reference Half Cells & Nernst Equations - Question 28

Osmatic pressure of a 0.001 M weak monobasic acid (HA) at 300 K is 2.5 x 10-2 atm.Thus,emf of the follwing in decivolt is| 0.001 M HA........                                                                                                    


Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 28

This question relates colligative properties to emf of the cell 


*Answer can only contain numeric values
Test: Reference Half Cells & Nernst Equations - Question 29

pH of the solution in the anode compartment of the follwoing cell at 298 K is x

when Ecell - E°cell = 0.0591 V , Pt (H2) | pH = x|| Ni2+ (1M)| Ni.

Derive the value of x.    


Detailed Solution for Test: Reference Half Cells & Nernst Equations - Question 29




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