# If given the following what would the reduction potential be on the new scale in which the reaction of water in base has an #E^o"_(red) = 0.000 V#?

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Suppose there were a new scale for expressing electrode potentials in which the standard potential for the reduction of water in base:

#2H_2O(l) + 2e^(-) -> H_2(g) + 2OH^(-)(aq)#

is assigned an #E^o"_(red)# value of 0.000 V. In current standard reduction tables, the following reaction has a standard reduction potential of 1.34 V.

#M^(3+)(aq) + 3e^(-) -> M(s)#

Suppose there were a new scale for expressing electrode potentials in which the standard potential for the reduction of water in base:

is assigned an

##### 1 Answer

Write out a number line. The original

If we offset this reduction of water in base forward by

**Normal Reduction Potentials (V)**

#" "" "-0.8277" "stackrel("(SHE)")(0.0000)" "" "1.34#

#<< --- | --- | --- | - >>#

**New Reduction Potential Scale (V)**

#" "" "" "0.0000" "stackrel("(SHE)")(0.8277)" "" "???#

#<< --- | --- | --- | - >>#

Thus,