At 298 K a galvanic cell couples the following half-reactions

CHEMISTRY · Single correct · AP · Chemistry · Thermodynamics and Electrochemistry · Thermodynamics and Electrochemistry

Problem

At 298 K a galvanic cell couples the following half-reactions. MnO₄⁻ + 8 H⁺ + 5 e⁻ → Mn²⁺ + 4 H₂O  E° = +1.51 V Sn⁴⁺ + 2 e⁻ → Sn²⁺          E° = +0.15 V The MnO₄⁻/Mn²⁺ compartment contains [MnO₄⁻] = 0.010 M, [Mn²⁺] = 1.0 M, and [H⁺] = 1.0 M. In the Sn compartment the total concentration of tin species is fixed at [Sn²⁺] + [Sn⁴⁺] = 0.200 M. If the measured cell potential is 1.45 V, what is [Sn⁴⁺] in the Sn compartment? (a) 2.9×10−2 M2.9\times10^{-2}\,\text{M} (b) 2.9×10−3 M2.9\times10^{-3}\,\text{M} (c) 2.9×10−4 M2.9\times10^{-4}\,\text{M} (d) 2.9×10−5 M2.9\times10^{-5}\,\text{M}

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