In: Chemistry
Calculate the percentage change in the equilibrium constant Kx of the reaction H2CO(g) to CO(g) + H2(g) when the total pressure is increased from 1.0 bar to 2.0 bar at constant temperature
Sol :-
Given equilibrium equation is :
H2CO (g) <------------> CO (g) + H2 (g)
Now the expression of equilibrium constant i.e. k ( is the ratio of product of the molar concentration of products to the product of the molar concentration of reactants raised to the power of stoichiometric coefficient with respect to each reagent at equilibrium stage of the reaction ) is .
k = PCO (g). PH2 (g) / PH2CO (g) ...............(1)
From the application of Dalton law of partial pressure , we know that
Partial pressure of gas (i.e. PA) = Mole fraction (XA) x Total pressure (PT)
so
PCO (g) = XCO (g) . PT
PH2 (g) = XH2 (g) . PT and
PH2CO (g) = XH2CO (g) . PT
Substitute all these values in equation (1), we have
k = (XCO (g) . PT ) ( XH2 (g) . PT ) / (XH2CO (g) . PT )
k = XCO (g) . XH2 (g) . PT / XH2CO (g) ...........(2)
Now form equation (2) , it is cleared that equilibrium constant (k) is directly proportional to the total pressure (PT) , therefore on doubling the total pressure ( i.e.1.0 atm to 2.0 atm ) equilibrium constant also doubled .
Hence percentage change in equilibrium constant will be = 200 %