In: Chemistry
Given that ΔGo for a reaction is 4.00 kJ mol-1, what is the value of Keq at 25oC (i.e., 77oF)? The value of R is 0.008314 kJ/mol K or 0.001986 kcal/mol K. Report your answer to three significant digits.
ΔGo= standard Gibb's free energy
R = gas constant
T = absolute temperature
K = equilibrium constant
∆G° is called the standard Gibb’s free energy, where the naught specifies a standard set of reaction conditions that include constant pressure, a given temperature, and a set of standard-state concentrations.
ΔGo= -RTlogKeq
= Keq=antilog(-ΔGo/RT)
1 J/mol = 0.000239 kcal/mol
Where ΔGo= 4 kcal/mol
= 4/0.000239
= 16736J/mol
=
16.736kJ/mol
and T= 25 oC = 298 K
Keq= antilog (-(16.736 KJ/mol)/ (0.008314 kJ/mol *298)
Keq= antilog (-16.736/ 2.477572)
Keq= antilog (-6.7550004601278994111977371394252)
Keq = 1.742* 10^ (-7)