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Delta G degree and E degree can be said to measure the same thing, and are conve

ID: 1010453 • Letter: D

Question

Delta G degree and E degree can be said to measure the same thing, and are convertible by the equation cell where n is the total number of moles of electrons being transferred, and F is the Faraday constant 9.64853415 times 10^4 C/mol. The free energy (delta G degree) of a spontaneous reaction is always negative. For each of the electrochemical cells below, calculate the free energy of the system and state whether the reaction is spontaneous or non-spontaneous as written based on the cathode and anode assignment given. (Use the table of Standard Electrode Potentials.) The cathode is Ag(I) and the anode is Au(III). free energy kJ spontaneity The cathode is Cr(III) and the anode is Co(II). free energy 0UZ) 266

Explanation / Answer

Cr3+(aq) + 3e- --> Cr(s) Eo(Cr3+|Cr) = - 0.744 V

Co2+(aq) + 2e- --> Co(s) Eo(Co2+|Co) = - 0.28 V

Cr(s) --> Cr3+(aq) + 3e- anode

Co2+(aq) + 2e- --> Co(s) cathode

Overall cell reaction

2Cr(s) + 3 Co2+(aq) --> 2Cr3+(aq) + 3 Co(s) Eo = 0.464 V

Gor= - n F Eo   

= - (6 moles) (9.64853 x 104 coulomb/mole) (0.464 V)

= - 2.69 x 105 J

free energy = - 269 kJ

Spontaneous

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