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Electrochemistry

Question
CBSEENCH12010283
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Calculate E.M.F. and G for the following cell:
Mg left parenthesis straight s right parenthesis space vertical line Mg to the power of 2 plus end exponent left parenthesis 0.001 space straight M right parenthesis space vertical line vertical line space Cu to the power of 2 plus end exponent left parenthesis 0.0001 space straight M right parenthesis space vertical line Cu space left parenthesis straight s right parenthesis space Given space colon space straight E subscript open parentheses bevelled Mg to the power of 2 plus end exponent over Mg close parentheses end subscript superscript 0 space equals negative 2.37 straight E subscript open parentheses bevelled Cu to the power of 2 plus end exponent over Cu close parentheses end subscript superscript 0 space equals plus 0.34 space straight V.

Solution
For space the space given space cell space representation comma space the space cell space reaction space will space be space Mg left parenthesis straight s right parenthesis space plus space Cu to the power of 2 plus end exponent space left parenthesis 0.0001 space straight M right parenthesis space rightwards arrow space Mg to the power of 2 plus end exponent space left parenthesis 0.001 space straight M space right parenthesis space plus space Cu space left parenthesis straight s right parenthesis The space standard space Emf space of space the space cell space will space be space given space by straight E subscript cell superscript 0 space equals straight E subscript Cu to the power of 2 plus end exponent divided by space Cu end subscript superscript 0 minus space straight E subscript bevelled Mg to the power of 2 plus end exponent over Mg end subscript superscript 0 equals 0.34 minus left parenthesis negative 2.37 right parenthesis space equals 2.17 space straight V The space nernst space equation space for space the space cell space reaction space at space 25 to the power of 0 straight C space will space be space straight E subscript cell space equals straight E subscript cell superscript 0 minus fraction numerator 0.0591 over denominator straight n end fraction space log space fraction numerator left square bracket Mg to the power of 2 plus end exponent right square bracket over denominator left square bracket Cu to the power of 2 plus end exponent right square bracket end fraction equals 2.71 space minus fraction numerator 0.0591 over denominator 2 end fraction space log space fraction numerator 0.001 over denominator 0.0001 end fraction equals 2.71 minus 0.02955 space left parenthesis 1 right parenthesis space equals 2.68045 space straight V space equals 2.68 space straight V We space Know space increment straight G equals negative nFE subscript cell equals space minus 2 space straight x space 96500 space straight x space 2.68 space equals negative 517.240 space KJ space mol to the power of negative 1 end exponent

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