Am i doing this correctly?? I am trying to find the standard reduction potential

Question

Am i doing this correctly?? I am trying to find the standard reduction potential for the following reaction: 1). ClO3^- + 6H^+ + 6e^- -----> Cl^- + 3H2O given this information below: 2). ClO3^- + 6H^+ + 5e^- ----> (1/2)Cl2 (g) + 3H2O standard reduction potential= 1.458 V 3). Cl2 (g) + 2e^- ------> 2Cl^- standard reduction potential= 1.360 V Am i assuming correctly if i convert the E standard numbers for reactions 2 and 3 above into K (equilibrium constants) values, divide the K value for reaction 3 by 2 since you only need (1/2) Cl2 + e^- ------> Cl^- , then multiply this new K value for reaction 3 by the k value for reaction 2 to "add" the k values together in order to determine the K value of reaction 1.. From the K value of reaction 1, i converted it to E standard. would this be the correct way to approach this problem??

Explanation / Answer

you multiply equation (3) by 1/2 and find its Keq value then add the Keq values of equation (2) and (3) so that Cl2(g) will be eliminated and we would get equation (1) now find the Eo value from Keq value obtained in the above step.

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