At (1000 ~K ), the partial pressures of ( CO ₂(g) ) and ( CO (g) ) for the reaction ( CO ₂(g)+ C (s) 2 CO (g) ) in a closed vessel at equilibrium are 0.15 and 0.60 bar respectively. The (K_c ) for this reaction at the same temperature is ap

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At (1000 ~K ), the partial pressures of ( CO ₂(g) ) and ( CO (g) ) for the reaction ( CO ₂(g)+ C (s) 2 CO (g) ) in a closed vessel at equilibrium are 0.15 and 0.60 bar respectively. The (K_c ) for this reaction at the same temperature is approximately

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Correct answer: B. (2.89 10⁻² )

For the reaction, ( aligned CO ₂(g)+ C (s) & 2 CO (g) K_ sp = & [ CO ^2(g) . [ CO ₂ ](g) = p [ CO ^2(g) . p [ CO ₂ ](g) & [ p V=n R T or n V = p R T , n V p(R, T) ] aligned ) Given, ( aligned p[ CO ] & =0.6 bar p [ CO ₂ ] & =0.15 bar K_p & = [0.6]^2 [0.15] =2.4 aligned ) Also, (K_p=K_c (R T)^ n ) where, ( n= ) moles of gaseous products moles of gaseous reactants (=2-1=1 ) ( K_p=K_c R T ) where, ( aligned K_c & = K_p R T K_p & =2.4 R & =0.082 ~L ~atm ~K aligned ) or (K_c=2.89 10⁻² ) Hence, option (b) is the correct

At (1000 ~K ), the partial pressures of ( CO ₂(g) ) and ( CO (g) ) for the reaction ( CO ₂(g)+ C (s) 2 CO (g) ) in a closed vessel at equilibrium are 0.15 and 0.60 bar respectively. The (K_c ) for this reaction at the same temperature is approximately

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