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Chemistry-

General

Easy

Question

For the following cell reaction $P b open parentheses s close parentheses plus H g subscript 2 end subscript S O subscript 4 end subscript open parentheses s close parentheses P b S O subscript 4 end subscript open parentheses s close parentheses plus 2 H g open parentheses l close parentheses E subscript text cell end text end subscript superscript ring operator end superscript equals 0.92 V comma$ $K subscript S p end subscript open parentheses P b S O subscript 4 end subscript close parentheses equals 2 cross times 10 to the power of negative 8 end exponent$ , $K subscript S p end subscript open parentheses H g S O subscript 4 end subscript close parentheses equals 1 cross times 10 to the power of negative 6 end exponent$ Hence, E_cell is:

0.92 V
0.89 V
1.04 V
0.95 V

The correct answer is: 0.95 V

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The standard potentials at 298 K for the following half reactions are as given
$table row cell Z n to the power of 2 plus end exponent left parenthesis a q right parenthesis plus 2 e to the power of minus end exponent rightwards harpoon over leftwards harpoon Z n left parenthesis s right parenthesis semicolon minus 0.762 V end cell row cell C r to the power of 3 plus end exponent left parenthesis a q right parenthesis plus 3 e to the power of minus end exponent rightwards harpoon over leftwards harpoon C r left parenthesis s right parenthesis semicolon minus 0.74 V end cell row cell 2 H to the power of plus end exponent left parenthesis a q right parenthesis plus 2 e to the power of minus end exponent rightwards harpoon over leftwards harpoon H subscript 2 end subscript left parenthesis g right parenthesis semicolon plus 0.00 V end cell row cell F e to the power of 3 plus end exponent left parenthesis a q right parenthesis plus e to the power of minus end exponent rightwards harpoon over leftwards harpoon F e to the power of 2 plus end exponent left parenthesis a q right parenthesis semicolon plus 0.77 V end cell end table$
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$table row cell Z n to the power of 2 plus end exponent left parenthesis a q right parenthesis plus 2 e to the power of minus end exponent rightwards harpoon over leftwards harpoon Z n left parenthesis s right parenthesis semicolon minus 0.762 V end cell row cell C r to the power of 3 plus end exponent left parenthesis a q right parenthesis plus 3 e to the power of minus end exponent rightwards harpoon over leftwards harpoon C r left parenthesis s right parenthesis semicolon minus 0.74 V end cell row cell 2 H to the power of plus end exponent left parenthesis a q right parenthesis plus 2 e to the power of minus end exponent rightwards harpoon over leftwards harpoon H subscript 2 end subscript left parenthesis g right parenthesis semicolon plus 0.00 V end cell row cell F e to the power of 3 plus end exponent left parenthesis a q right parenthesis plus e to the power of minus end exponent rightwards harpoon over leftwards harpoon F e to the power of 2 plus end exponent left parenthesis a q right parenthesis semicolon plus 0.77 V end cell end table$
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