K at 2000 = .69 K at 300 = 8.41 I am having trouble getting Delta H The followin
ID: 858415 • Letter: K
Question
K at 2000 = .69
K at 300 = 8.41
I am having trouble getting Delta H
The following equation represents the decomposition of a generic diatomic element in its standard state. Assume that the standard molar Gibbs energy of formation of X(g) is 4.58 kJ mol^-1 at 2000. K and -61.66 kJ mol^-1 at 3000. K. Determine the value of I((the thermodynamic equilibrium constant) at each temperature. Assuming that delta H degree is independent of temperature, determine the value of delta H from these data. NumberExplanation / Answer
delta G = -RT ln K
= -4.58 Kj = -R*2000 ln K
= 1.30 = K
delta G = -RT ln K
= -61.66 * 1000 = -R* 3000 ln K
= 10.84 = K
now
ln K1 /K2 = delta H /R [ 1/ 3000 -1/2000 ]
= ln 1.30/ 10.84 = delta H / R [ 0.0005]
= delta H = -35.265 KJ
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