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2013 USNCO Problem 37: Reduction Potentials

Source:

April 26, 2013

Problem Statement

Three metals, A,BA, B and CC, with solutions of their respective cations are tested in a voltaic cell with the following results:
AA and BB: AA is the cathode BB and CC: CC is the cathode AA and CC: AA is the anode
What is the order of the reduction potentials from highest to lowest for the cations of these metals?
<spanclass=latexbold>(A)</span> A>B>C<spanclass=latexbold>(B)</span> B>C>A <span class='latex-bold'>(A)</span>\ A>B>C \qquad<span class='latex-bold'>(B)</span>\ B>C>A\qquad
<spanclass=latexbold>(C)</span> C>A>B<spanclass=latexbold>(D</span> B>A>C{<span class='latex-bold'>(C)</span>\ C>A>B\qquad<span class='latex-bold'>(D</span>}\ B>A>C\qquad