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can you please show all work For the complex formation reaction where M is any m

ID: 1005792 • Letter: C

Question

can you please show all work

For the complex formation reaction where M is any metal and L is any ligand, M++2L[ML2]+ Kf is the formation constant for the complex at equilibrium and G is the Gibbs free energy change for the reaction at equilibrium.The formation constant (Kf) can be related to the Gibbs free energy change (G) for a reaction by the equation G=RTln Kf where T is the temperature in kelvins and R is the gas constant equal to 8.314 JK1mol1. The complex formation is generally a spontaneous process; thus, the Gibbs free energy change is negative. Part B Calculate the formation constant for the formation of [Cu(en)2(H2O)2]2+ from [Cu(H2O)6]2+, given that G is 111.8kJmol1 at 298 K. Express your answer numerically to three significant figures. Kf =?

Explanation / Answer

part B)   

G = -111.8 kJ / mol

T = 298 K

R = 8.314 x 10^-3 kJ / mol

G=RTln Kf

-111.8 = -8.314 x 10^-3 x 298 x ln Kf

45.12 = ln Kf

Kf = e^45.12

Kf = 3.94 x 10^19

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