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Calculating Cell Potentials Definitions • Cell Potential: The voltage that can be generated when two compounds are brought together, with one oxidizing and the other being reduced. • Voltage: The energy per electron. Strictly speaking, it is the energy (Joules) per coloumb (6 x 1018) positive charge. Reduction Potential • When an atom gains an electron, there is a change in energy. This can be measured on an absolute scale and is referred to as electron affinity. It is measured in kJ/mole of atoms • In reduction-oxidation reactions, chemists have found it much more useful to measure the energy change of the electrons. So they use a scale of electron volts (eV). Standard Reduction Potential • Since there can never be a reduction without an oxidation, the easiest way to calculate energy change in redox reaction is with a relative scale. • The scale compares how every atom or ion will reduce relative to a common atom. • The common atom was (because it is very common and very simple) chosen to be hydrogen. Reduction of Atoms and Ions with Hydrogen • All Atoms are REDUCED and H2 is Oxidized • H2 – 2e AND Zn02+ S2- 0 ++2e 2- 00 Cu Zn S2+ 2e SCu Zn 2e 2e 2e 0 Cu2+ 2H H2+ Standard Reduction Potential • Each Reduction has a certain energy change • The energy released is the difference between hydrogen being oxidized and the other element being reduced Zn2+ + 2e Zn0 E0 = -0.76 volts Zn02+ 2e 2H H2+ Standard Reduction Potential • Some atoms and ions are less active than hydrogen • They hold onto electrons more strongly, and so are easier to reduce • They have a positive reduction potential 2H H2+ Cu2+ + 2e Cu0 E0 2e = +0.34 volts 0 Cu2+ Oxidation Potential • Oxidation is the exact opposite of reduction • The energy released is the difference between hydrogen being reduced and the other element being oxidized • The potential is the same value, but opposite in sign Zn0 Zn2+ + 2e E0 = +0.76 volts 0 Zn2+ 2e 2H H2+ Potential Difference between two Elements • The easiest way to calculate the potential between any two elements is to think of them going through hydrogen • The zinc is oxidized • The copper is reduced Zn0 Zn2+ + 2e Cu2+ + 2e Cu0 0 Zn2+ 2e 2H H+2 2e 0 Cu2+ Calculating Potential Difference • The calculation 0 Zn2+ becomes simple • The difference between any two elements equals • the reduction of one and the oxidation of the other Ecell = Ered + Eox 0 Cu2+ = H2 Calculating Cell Potential • To keep it a bit more consistent with other work: Ecell = Ered + Eox is translated to : Ecell = Ered (of reduced) – Ered (of oxidized) – So…. Calculating Potential Difference • The calculation: 0 Zn2+ Zn0 Zn2+ + 2e +0.76 (Oxidation) E0 = -0.76 volts Cu2+ + 2e Cu0 E0 = +0.34 volts 1.10 H2 Ecell = Ered - Ered 1.10 = 0.34 (Reduction) 0.34 - (-0.76) 0 Cu2+ Positive Potential Difference • If the Cell Potential Difference (Voltage) is positive – The reaction is spontaneous. The reaction, as written, will happen by itself – It releases energy – These happen in voltaic cells – It is the same as a negative DG (The sign is reversed because voltage is measured for positive charges and electrons are negative.) Negative Potential Difference • If the Cell Potential Difference (Voltage) is negative – The reaction is not spontaneous.The reaction, as written, will not happen by itself – These happen in electrolytic cells – It absorbs energy – It is the same as a positive DG (The sign is reversed because voltage is measured for positive charges and electrons are negative.) Spontaneous Redox • Batteries • Rusting Non-Spontaneous • Electroplating (Zinc and silver plating) • Purifying pure elements • Rechargeable Batteries