E⊖forCr3++3e−→Cr and Cr3++e−→Cr2+ are −0.74V and −0.40V, respectively. E⊖ for the reaction is: Cr+2+2e−→Cr
Solution
To find the standard reduction potential (E⊖) for the reaction Cr+2+2e−→Cr, we can use the given reduction potentials for the reactions E⊖forCr3++3e−→Cr (-0.74V) and Cr3++e−→Cr2+ (-0.40V).
Step 1: Write the balanced equation for the reaction we are interested in: Cr+2 + 2e− → Cr
Step 2: Identify the half-reactions involved in the reaction: Half-reaction 1: Cr3+ + 3e− → Cr (E⊖ = -0.74V) Half-reaction 2: Cr3+ + e− → Cr2+ (E⊖ = -0.40V)
Step 3: Determine the reduction potential for the desired reaction: Since the reduction potential is a measure of the tendency of a species to gain electrons, we can subtract the reduction potential of the oxidation half-reaction from the reduction potential of the reduction half-reaction to obtain the reduction potential for the desired reaction.
E⊖ for the reaction = E⊖ reduction - E⊖ oxidation E⊖ for the reaction = (-0.40V) - (-0.74V) E⊖ for the reaction = 0.34V
Therefore, the standard reduction potential (E⊖) for the reaction Cr+2+2e−→Cr is 0.34V.
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