At a certain temperature and total pressure of 10 5 Pa, iodine vapour contains 40% by volume of I atoms Calculate for the equlibrium. - Wired Faculty

Equilibrium

Question

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At a certain temperature and total pressure of 10⁵Pa, iodine vapour contains 40% by volume of I atoms
$straight I subscript 2 left parenthesis straight g right parenthesis space space space rightwards harpoon over leftwards harpoon space space space space 2 straight I left parenthesis straight g right parenthesis$

Calculate $straight K subscript straight p$ for the equlibrium.

Solution

The reversible reaction is,
$straight I subscript 2 left parenthesis straight g right parenthesis space space space rightwards harpoon over leftwards harpoon space space space space 2 straight I left parenthesis straight g right parenthesis$
$Partial space pressure space of space straight I space atoms thin space left parenthesis straight p subscript 1 right parenthesis space equals space 40 over 100 cross times 10 to the power of 5 Pa space equals space 0.40 space cross times space 10 to the power of 5 Pa Partial space pressure space of space straight I subscript 2 left parenthesis straight p subscript straight I subscript 2 end subscript right parenthesis space equals space 60 over 100 cross times 10 to the power of 5 Pa space equals space 0.60 space cross times space 10 to the power of 5 Pa$
Applying the law of chemical equilibrium
$straight K subscript straight p space equals space straight p subscript straight I over straight p subscript straight I subscript 2 end subscript$
Putting the values, we have,
$straight K subscript straight p space equals space fraction numerator left parenthesis 0.40 space cross times space 10 to the power of 5 right parenthesis squared over denominator 0.60 space cross times space 10 to the power of 5 end fraction space equals space 2.67 space cross times space 10 to the power of 4$