The oxygen activity in a liquid metal can be-measured by a concentration cell using stabilised zirconia electrolyte PO2(1) | ZrO2 based solid electrolyte | PO2(2)
Where, PO2(1) is the reference oxygen pressure and PO2(2) is the oxygen pressure in equilibrium with liquid metal. If, F is Faraday constant, the EMF of the cell is equal to
A. $$ - \frac{{RT}}{{2F}}.\frac{{PO_2^{\left( 2 \right)}}}{{PO_2^{\left( 1 \right)}}}$$
B. $$ - \frac{{RT}}{{4F}}.\frac{{PO_2^{\left( 2 \right)}}}{{PO_2^{\left( 1 \right)}}}$$
C. $$ - \frac{{RT}}{{2F}}In\frac{{PO_2^{\left( 2 \right)}}}{{PO_2^{\left( 1 \right)}}}$$
D. $$ - \frac{{RT}}{{4F}}In\frac{{PO_2^{\left( 2 \right)}}}{{PO_2^{\left( 1 \right)}}}$$
Answer: Option D
This Question Belongs to Metallurgical Engineering >> Electrometallurgy And Corrosion
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