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Electrochemistry

Question
CBSEENCH12010805
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Given space straight E subscript Cr to the power of 3 plus end exponent divided by Cr end subscript superscript straight o space equals space minus space 0.72 space straight V comma space straight E subscript Fe to the power of 2 plus end exponent divided by Fe end subscript superscript straight o space equals space minus space 0.42 space straight V. space The space potential space for space the space cell Cr vertical line Cr to the power of 3 plus end exponent space left parenthesis 0.1 right parenthesis vertical line vertical line Fe to the power of 2 plus end exponent space left parenthesis 0.01 space straight M right parenthesis vertical line Fe space is

  • 0.26

  • 0.399

  • 0-399

  • -0.26

Solution

A.

0.26

As space straight E subscript Cr divided by Cr to the power of 3 plus end exponent end subscript superscript straight o space equals space minus space 0.72 space straight V space and space straight E subscript Fe to the power of 2 plus end exponent divided by Fe end subscript superscript 0 space equals space minus space 0.42 space straight V 2 Cr space plus space 3 space Fe to the power of 2 plus end exponent space rightwards arrow with space on top space 3 space Fe space plus space 2 Cr to the power of 3 plus end exponent straight E subscript cell space equals space straight E subscript cell superscript 0 space minus space fraction numerator 0.0591 over denominator 6 end fraction space log space fraction numerator left parenthesis Cr to the power of 3 plus end exponent right parenthesis squared over denominator left parenthesis Fe to the power of 2 plus end exponent right parenthesis cubed end fraction space equals space left parenthesis negative.42 space plus space 0.72 right parenthesis space minus space fraction numerator 0.0591 over denominator 2 end fraction space log space fraction numerator left parenthesis Cr to the power of 3 plus end exponent right parenthesis squared over denominator left parenthesis Fe to the power of 2 plus end exponent right parenthesis cubed end fraction space equals space left parenthesis negative 0.42 space plus space 0.72 right parenthesis space minus space fraction numerator 0.0591 over denominator 6 end fraction space log space fraction numerator left parenthesis 0.1 right parenthesis squared over denominator left parenthesis 0.01 right parenthesis cubed end fraction space equals space 0.30 space minus space fraction numerator 0.0591 over denominator 6 space end fraction space log space fraction numerator left parenthesis 0.1 right parenthesis squared over denominator left parenthesis 0.01 right parenthesis cubed end fraction space equals space 0.30 space minus space fraction numerator 0.0591 over denominator 6 end fraction space log space 10 to the power of negative 2 end exponent over 10 to the power of negative 6 end exponent space equals space 0.30 space minus space fraction numerator 0.0591 over denominator 6 end fraction space log space fraction numerator left parenthesis 0.1 right parenthesis squared over denominator left parenthesis 0.01 right parenthesis cubed end fraction space equals space 0.30 space minus space fraction numerator 0.0591 over denominator 6 end fraction space log space 10 to the power of negative 2 end exponent over 10 to the power of negative 6 end exponent space equals space 0.30 space minus space fraction numerator 0.0591 over denominator 2 end fraction space log 10 to the power of 4 straight E subscript cell space equals space 0.2606 space space straight V

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