In: Chemistry
A)
Calculate ΔGrxn at 298 K under the conditions shown
below for the following reaction.
2 Hg(g) + O2(g) → 2 HgO(s) ΔG° = -180.8 kJ
P(Hg) = 0.025 atm, P(O2) = 0.037 atm
Calculate ΔGrxn at 298 K under the conditions shown
below for the following reaction.
2 Hg(g) + O2(g) → 2 HgO(s) ΔG° = -180.8 kJ
P(Hg) = 0.025 atm, P(O2) = 0.037 atm
-164 kJ | |||||||||||
+60.7 kJ | |||||||||||
+207 kJ | |||||||||||
-26.5 kJ | |||||||||||
-154.4 kJ B) Estimate ΔG°rxn for the following reaction at 449.0
K. Estimate ΔG°rxn for the following reaction at 449.0
K.
C) Determine the equilibrium constant for the following reaction at
655 K. Determine the equilibrium constant for the following reaction at
655 K.
D) |
|||||||||||
A reaction has ΔH∘rxn=−239kJ and ΔS∘rxn= 247J/K. |
Part A Calculate ΔG∘rxn at 46 ∘C. Calculate at 46 .
|
A)
2 Hg(g) + O2(g) → 2 HgO(s) ΔG° = -180.8 kJ
P(Hg) = 0.025 atm, P(O2) = 0.037 atm
Kp = P^2 HgO(s) / P^2 Hg x PO2
HgO is a solid
Kp = 1/P^2 Hg x PO2
Kp = 1/ ( 0.025)^2x ( 0.037)
Kp = 43243.24
T= 298K R = 8.314x10^-3 KJ
Grxn =
G0rxn + RT
lnKp
Grxn = - 180.8 +
8.314x10^-3 x 298 x ln(43243.24)
Grxn = -
154.35KJ
Grxn = - 154.5
KJ
B)
ΔH°= -94.9 kJ; ΔS°= -224.2 J/K
T = 449.0K
G0rxn =
H0rxn -
T
S0rxn
G0rxn = - 94.9 -
( 449.0 x ( -224.2)]
G0rxn = +
5.76KJ
G0rxn = + 5.8
KJ
C)
HCN(g) + 2 H2(g) → CH3NH2(g) ΔH° = -158 kJ; ΔS°= -219.9 J/K
G0rxn =
H0rxn -
T
S0rxn
G0rxn = - 158 - [
298x ( -219.9)]
G0rxn = - 92.47
KJ
G0rxn = - RT
lnK
R= 8.314x10^-3KJ T = 655K
- 92.47 = - 8.314x10^-3 x 655 x lnK
lnK = 16.98
K = e^16.98 =
d)
ΔH∘rxn=−239kJ and ΔS∘rxn= 247J/K.
G0rxn =
H0rxn -
T
S0rxn
T = 46C = 46+273= 319K
G0rxn = - 239 - (
319 x 247)
G0rxn = - 317.79
Kj
G0rxn = - 318
KJ
K