and Ed, can be said to measure the same thing, and are convertible by the equati

Question

and Ed, can be said to measure the same thing, and are convertible by the equation 0 where n is the total number of moles of electrons being transferred, and F is the Faraday constant 9.64853415 x 104 C/mol. The free energy (AG) 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.) (a) The cathode is Cd (II) and the anode is Pb(II free energy 297 spontaneity -non-spontaneous (b) The cathode is Ag(I) and the anode is Au(III). free energy467.4k 67.4 spontaneity n-spontaneous (c) The cathode is Zn(II) and the anode is A. free energy 4 spontaneity |spontaneous

Explanation / Answer

a) The reaction is

Cd2+ + 2e- --------> Cd

Pb -----> Pb2+ + 2e-

We see that the number of e- involved in each reaction is 2

Hence n = 2

b)

3Ag+ + 3e- ------> 3Ag

Au -------> Au3+ + 3e-

n = 3

c)

3Zn2+ + 6e- ----> 3Zn

2Al ------> 2Al3+ + 6e-

n = 6 (since 6 e- involved)

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