(b) The decomposition of silver carbonate (Ag2 COs) is given by Ag,C03(s) Ag20(s
ID: 706023 • Letter: #
Question
(b) The decomposition of silver carbonate (Ag2 COs) is given by Ag,C03(s) Ag20(s) + CO2(g) where (s) and (g) denote solid and gas phases, respectively. Equilibrium constants of this reaction are measured at different temperatures; the results are: T(K): 350 K: 400 1.41 x 10-2 500 1.48 450 3.98 x 10-4 0.186 It is reasonable to assume that the enthalpy of reaction remains effectively constant from room temperature to 500 K Given that the standard enthalpy of formation of silver oxide [ie. (4,HiseAgol is -31.05 k]/mol estimate (A.H29s)Ag:.co,.Explanation / Answer
The ?H°rexn can be calculated by using Vant' Hoff equation as follows:
ln(K2/K1) = - ( ?H°rexn /R ){ 1/T2 - 1/T1}
Where K2 and K1 are the equilibrium constant value at temperature T2 and T1 respectively.
K2 = 1.48 when T2 = 500
K1 = 0.186 when T1 = 450
R = 8.314 J /(K-mol)
ln (1.48/0.186) = - (?H/8.314){1/500 - 1/450)
?H = - 77596.46 J mol^-1 = - 77.596 kJ/mol
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