When the Hg2+ concentration is 1.16 M, the observed cell potential at 298K for an electrochemical cell with the following reaction is 2.577V. What is the Al3+ concentration? 3Hg2+(aq) + 2Al(s)→3Hg(l) + 2Al3+(aq) Answer: ____  M

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When the Hg2+ concentration is 1.16 M, the observed cell potential at 298K for an electrochemical cell with the following reaction is 2.577V. What is the Al3+ concentration?

3Hg2+(aq) + 2Al(s)→3Hg(l) + 2Al3+(aq)

Answer: ____  M

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 mol'K!
T
298.15 K
F
96,485 J V' mol"
(8.314 J mol! K)(298.15 K)
RT
= 0.0257 V
F
96,485 J V-l mol"
and the Nernst equation with the potentials in volts is:
Previous
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 mol'K! T 298.15 K F 96,485 J V' mol" (8.314 J mol! K)(298.15 K) RT = 0.0257 V F 96,485 J V-l mol" and the Nernst equation with the potentials in volts is: Previous
and the Nernst equation with the potentials in volts is:
0.0257
E = E°
In Q
natural logarithm
n
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:and the Nernst equation with the potentials in volts is: 0.0257 E = E° In Q natural logarithm n 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.
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