Question

Estimate the value of the equilibrium constant at 610 KK for each of the following reactions....

Estimate the value of the equilibrium constant at 610 KK for each of the following reactions. ΔG∘fΔGf∘ for BrCl(g)BrCl(g) is −−1.0 kJ/molkJ/mol. The standard molar entropy, S∘S∘, for BrCl(g)BrCl(g) is 240.0 J/mol⋅KJ/mol⋅K.

Part A

2NO2(g)⇌N2O4(g).2NO2(g)⇌N2O4(g). ΔH∘fΔHf∘ for N2O4(g)N2O4(g) is 9.16 kJ/molkJ/mol.

Express your answer using three significant figures.

K= ???

Part B

Br2(g)+Cl2(g)⇌2BrCl(g).Br2(g)+Cl2(g)⇌2BrCl(g). ΔH∘fΔHf∘ for BrCl(g)BrCl(g) is 14.6 kJ/molkJ/mol.

Express your answer using three significant figures.

K= ???

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Answer #1

PART A:

Given reaction:

2 NO2 <===> N2O4

Given that:

ΔHo = 9.16 kJ/mol

ΔSo = -175.83 J/mol.K

Therefore, ΔGo = ΔHo - TΔSo

ΔGo = (9.16 kJ/mol) - (610 x -175.83 x 10-3 kJ/mol)

ΔGo = 116.42 kJ/mol

We have, equilibrium constant :

ΔGo = -RT ln K

116.42 kJ/mol = (-8.314 x 10-3 x 610) x ln K

ln K = -0.04356

K = e-0.04356

∴ K = 0.9574 --------- (answer)

-------------------------------------------------------------------------

PART B:

Given reaction:

Br2 + Cl2 <=====> 2 BrCl

Given that:

ΔHo = 14.6 kJ/mol

ΔSo = 11.471 J/mol.K

Therefore, ΔGo = ΔHo - TΔSo

ΔGo = (14.6 kJ/mol) - (610 x 11.471 x 10-3 kJ/mol)

ΔGo = 21.6 kJ/mol

We have, equilibrium constant :

ΔGo = -RT ln K

21.6 kJ/mol = (-8.314 x 10-3 x 610) x ln K

ln K = -0.2348

K = e-0.2348

∴ K = 0.7907   --------- (answer)

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