Please show all work so that i can understand. thank you
A.) Which of the following processes have a ΔS > 0?
a.CH3OH(l) → CH3OH(s) | |
b.Na2CO3(s) + H2O(g) + CO2(g) → 2 NaHCO3(s) | |
c. | CH4(g) + H2O(g) → CO(g) + 3 H2(g) |
d. | N2(g) + 3 H2(g) → 2 NH3(g) |
e. All of the above processes have a ΔS > 0. |
B.) If ΔG > 0, which of the following statements are true?
a. | The reaction is at equilibrium. |
b. | The reaction is spontaneous. |
c. | The reaction is not spontaneous. |
d. | Not enough information is given |
C.) A reaction has
ΔH∘rxn=−254kJ and
ΔS∘rxn= 201J/K.
Calculate ΔG∘rxn at 41 ∘C.
a. | −8500kJ |
b. | −262kJ |
c. | −6.34×104kJ |
d. | −317kJ |
D.) Determine the equilibrium constant for the following
reaction at 549 K.
CH2O(g) + 2 H2(g) → CH4(g) +
H2O(g) ΔH° = -94.9 kJ; ΔS°= -224.2 J/K
a. 1.07 x 109 | |
b. | 2.08 x 10-3 |
c. | 481 |
d. | 1.94 x 10-12 |
e. | 9.35 x 10-10 |
A )
answer : c) CH4(g) + H2O(g) → CO(g) + 3 H2(g)
reason : moles of reactant = 2 , moles of products = 4 . so moles of products > moles of reactant entropy increases
B)
c) The reaction is not spontaneous.
C)
ΔH∘rxn = −254 kJ and ΔS∘rxn = 201J/K.
T = 41 + 273 = 314 K
ΔG∘rxn = ΔH∘rxn - T ΔS∘rxn
= - 254 - 314 x 201 x 10^-3
= - 317.1 kJ
ΔG∘rxn = - 317.1 kJ
D)
answer : b) 2.08 x 10^-3
ΔG∘rxn = -94.9 - 549 x (-224.2 x 10^-3)
= 28.19 kJ / mol
ΔG∘rxn = - R T ln Keq
28.19 = 8.314 x 10^-3 x 549 x ln Keq
Keq = 2.08 x 10^-3
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