When the Ag+ concentration is 3.64×10-4 M, the observed cell potential at 298K for an electrochemical cell with the following reaction is 1.335V. What is the Cr3+ concentration? 3Ag+(aq) + Cr(s) →3Ag(s) + Cr3+(aq) Answer:  ____ M

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When the Ag+ concentration is 3.64×10-4 M, the observed cell potential at 298K for an electrochemical cell with the following reaction is 1.335V. What is the Cr3+ concentration?

3Ag+(aq) + Cr(s) →3Ag(s) + Cr3+(aq)

Answer:  ____ M

R = 8.314 J mol'K-!
T = 298.15 K
96,485 J V-l mol"
F
(8.314 J mol" K-)(298.15 K)
RT
= 0.0257 V
-
96,485 J V-' mol"
F
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:R = 8.314 J mol'K-! T = 298.15 K 96,485 J V-l mol" F (8.314 J mol" K-)(298.15 K) RT = 0.0257 V - 96,485 J V-' mol" F 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.
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
standard potential
E°
= ideal gas constant
kelvin temperature
R
T
= number of moles of electrons for the reaction as written
F = charge carried by 1 mol of electrons
Q = reaction quotient
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
96,485 J Vl mol
F =
(8.314 J mol K-)(298.15 K)
RT
= 0.0257 V
-
96,485 J V-' mol
F
and the Nernst equation with the potentials in volts is:
Previou
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 standard potential E° = ideal gas constant kelvin temperature R T = number of moles of electrons for the reaction as written F = charge carried by 1 mol of electrons Q = reaction quotient 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 96,485 J Vl mol F = (8.314 J mol K-)(298.15 K) RT = 0.0257 V - 96,485 J V-' mol F and the Nernst equation with the potentials in volts is: Previou
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