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Equilibrium

Question
CBSEENCH11006443

At 1127 K and 1 atm pressure, a gaseous mixture of CO and CO2 in equilibrium with solid carbon has 90.55% CO by mass
                       straight C left parenthesis straight s right parenthesis space plus space CO subscript 2 left parenthesis straight g right parenthesis space space rightwards harpoon over leftwards harpoon space 2 CO left parenthesis straight g right parenthesis
Calculate Kfor this reaction at the above example. 

Solution

If the total mass of the mixture of CO and CO2 is 100g. then the mass of CO=90.55g and mass of 
CO2= 100-90.55=9-45g
therefore,
Number of moles of CO= 90.55/28=3.23
Number of moles of CO= 9.45/44 =0.22
therefore comma
space straight p subscript CO space equals fraction numerator 3.23 over denominator 3.23 space plus 0.22 end fraction space straight x space 1 space atm space equals space 0.94 space atm

straight p subscript CO subscript 2 end subscript space equals space fraction numerator 0.22 over denominator 3.23 plus 0.22 end fraction space straight x space 1 space atm space equals 0.06 space atm

straight K subscript straight p space equals space straight p squared subscript CO subscript 2 end subscript over straight p subscript CO space equals space fraction numerator left parenthesis 0.94 right parenthesis squared over denominator 0.06 space end fraction space equals 14.25
increment straight n subscript straight g space equals 2 minus 1 space equals 1
straight K subscript straight p space equals straight K subscript straight c left parenthesis RT right parenthesis
straight K subscript straight c space equals space straight K subscript straight p over RT space equals fraction numerator 14.25 over denominator 0.08210 space straight x 1127 end fraction space equals 0.154