posted by Ezra .
Acetylene, C2H2, can be converted to ethane, C2H6, by a process known as hydrogenation. The reaction is:
C2H2(g) + 2H2(g) === C2H6(g)
Given the following, what is the Kp for the reaction?
C2H2(g): 209.2 ΔG˚f (kJ/mol)
H2(g): 0 ΔG˚f (kJ/mol)
C2H6(g): -32.89ΔG˚f (kJ/mol)
ΔG˚ = -RTlnK
ΔG = ΔG˚RTlnQ
I don't what the answer is.
ΔG˚ for reaction = - RT lnK
242,090 J/mol = - (8.314 J/mol-K)(298.15 K) lnK
K = Kp = 3.85E-43
That's what I got but it wouldn't go through. Although that seems to be an extremely small number.
the delta G of the whole reaction you need to use is found by subtracting the delta G for your reactants from the delta G of your product
-32.89 (c2h6) - 209.2 (c2h2) + 0 (h2) = -242.09
then you have to plug it into the equation deltaG = -RTlnK, making sure to convert R to kJ by dividing it by 1000
8.314/1000 = 0.008314
and use the standard temp, 298.15K for T
-242.09 = -0.008314*298.15*lnK
this can be rewritten as
the answer is 2.73E42
looks like your only problem was keeping your deltaG positive