Use standard reduction potentials to find the equilibrium constant for the following reaction at 25°C: 2Ce4+(aq) + 2Cl−(aq) ⇌ 2Ce3+(aq) + Cl2(g) Enter your answer in scientific notation to one significant digit.

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Answer:

The equilibrium constant for the following reaction = 501.18

Explanation:

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The equilibrium constant of the reaction is 1.45 × 10^12.

The reaction equation as written is;

2Ce4+(aq) + 2Cl−(aq) ⇌ 2Ce3+(aq) + Cl2(g)

Now, we can recall the formula;

E°cell = 0.0592/n log K

n = Number of electrons transferred

E°cell = E°cathode -  E°anode

E°cathode = 1.72 V

E°anode = 1.36 V

E°cell = 1.72 V -  1.36 V = 0.36 V

Note that two electrons were transferred, hence;

0.36 = 0.0592/2 log K

0.36 = 0.0296 log K

log K = 0.36/0.0296

K = Antilog(0.36/0.0296)

K = 1.45 × 10^12

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