What is the calculated value of the cell potential at 298K for an electrochemical cell with the following reaction, when the Hg2+concentration is 3.59×10-4 M and the Cr3+ concentration is 1.07 M ? 3Hg2+(aq) +2Cr(s) ➞ 3Hg(l) + 2Cr3+(aq) Answer: ____ V The cell reaction as written above is spontaneous for the concentrations given: _______ (true or false)

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question

What is the calculated value of the cell potential at 298K for an electrochemical cell with the following reaction, when the Hg2+concentration is 3.59×10-4 M and the Cr3+ concentration is 1.07 M ?

3Hg2+(aq) +2Cr(s) ➞ 3Hg(l) + 2Cr3+(aq)

Answer: ____ V

The cell reaction as written above is spontaneous for the concentrations given: _______ (true or false) 

 

The Nernst Equation
A non-standard cell or half-cell potential can be calculated using the Nernst Equation:
RT
E = E° - - In Q
nF
where
E = potential under non-standard conditions
E° = standard potential
ideal gas constant
T = kelvin temperature
n = number of moles of electrons for the reaction as written
F = charge carried by 1 mol of electrons
Q = reaction quotient
R
It is customary to use the equation in a form where numerical values are substituted for R, T and F at a temperature of 25 °C.
For
R = 8.314 J molr'k!
T = 298.15 K
F
96,485 J Vl mol"!
(8.314 J mol"' K)(298.15 K)
RT
= 0.0257 V
F
96,485 J V-l mol"l
and the Nernst equation with the potentials in volts is:
Transcribed Image Text:The Nernst Equation A non-standard cell or half-cell potential can be calculated using the Nernst Equation: RT E = E° - - In Q nF where E = potential under non-standard conditions E° = standard potential ideal gas constant T = kelvin temperature n = number of moles of electrons for the reaction as written F = charge carried by 1 mol of electrons Q = reaction quotient R It is customary to use the equation in a form where numerical values are substituted for R, T and F at a temperature of 25 °C. For R = 8.314 J molr'k! T = 298.15 K F 96,485 J Vl mol"! (8.314 J mol"' K)(298.15 K) RT = 0.0257 V F 96,485 J V-l mol"l and the Nernst equation with the potentials in volts is:
0.0257
E = E°
In Q
natural logarithm
Sometimes it is more convenient to use base-10 logarithms and the substitution of 2.303 log for In is made. (2.303 x 0.0257 = 0.0592)
Then, the Nernst equation for base-10 logs at 25 °C is:
0.0592
E = E°
log Q
base-10 logarithm
A common student error is to use the wrong kind of logarithm. Be sure, when you choose an equation, to use the correct logarithm.
Transcribed Image Text:0.0257 E = E° In Q natural logarithm Sometimes it is more convenient to use base-10 logarithms and the substitution of 2.303 log for In is made. (2.303 x 0.0257 = 0.0592) Then, the Nernst equation for base-10 logs at 25 °C is: 0.0592 E = E° log Q base-10 logarithm A common student error is to use the wrong kind of logarithm. Be sure, when you choose an equation, to use the correct logarithm.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Batteries
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY