This unit is kicking my butt! Please help!! The following equation represents th

Question

This unit is kicking my butt! Please help!!

The following equation represents the decomposition of a generic diatomic element in its standard state. 1/2X2(g) rightarrow X(g) Assume that the standard molar Gibbs energy of formation of x(g) is 4.24 kJ middot mol-1 at 2000. K and - 49.78 kJ middot mol-1 at 3000 K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature. 2000. K, we were given: Delta Gt = 4.24 kJ middot mol-1. What is K at that temperature? K at 2000. K = At 3000. K, we were given: Delta Gt = -49.78 kJ middot mol-1. What is K at that temperature? K at 3000. K =

Explanation / Answer

Delta G = -RT ln K

K = exp(-Delta G/RT)

R = 8.314 J/mol K


T = 2000 K, Delta G = 4.24 kJ/mol = 4240 J/mol

K = exp(-Delta G/RT)

= exp(-4240/(8.314 x 2000))

= 0.775


T = 3000 K, Delta G = -49.78 kJ/mol = -49780 J/mol

K = exp(-Delta G/RT)

= exp(49780/(8.314 x 3000))

= 7.358

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