Question

The chemical reaction: A(aq)⇌2B(aq)

is characterized by the equilibrium constant Keq= 3.1 at standard pressure and a temperature of 25℃. The standard reaction enthalpy is given as ΔrH∘ = -109 kJ/mol and can be considered as independent of the temperature.

Given Parameters for Excel file:

Keq = 3.1

drH = -109 kJ/mol

[A]_0 = 0.42 mol/L

T2 = 53 ℃

Part A

Calculate the standard reaction entropy ΔrS∘, which can also be considered independent of temperature.

ΔrS∘ =

-356.77

J/(K mol)

Part B

Calculate the standard reaction free energy ΔrG∘25∘C at a temperature of 25℃.

ΔrG∘25∘C =

0

kJ/mol

The initial concentration of the reactant is [A]_o = 0.42 mol/L, while no product is initially present, i.e. [B]0 = 0 mol/l. The reaction is carried out under isobaric-isothermal conditions at 1 bar and 25℃.

Determine the equilibrium concentrations of all reactants and products.

Part C

Provide the equilibrium concentration of reactant A at 1 bar and 25℃.

[A]eq =

0.12

mol/L

Part D

Provide the equilibrium concentration of product B at 1 bar and 25℃.

[B]eq =	0.60	mol/L

To obtain your solution in parts C and D, you will have formulated a quadratic equation of the form:

x² + p⋅x + q =0

Make sure not to leave a prefactor in front of x². In the following parts E to F, provide the parameters p and q in this equation as well as the physically meaningful solution for x.

Part E

Provide your value for p

p =

3.1

Part F

Part complete

Provide your value for q

q =

-1.30

Part G

Part complete

Provide the physically meaningful solution for x in your quadratic equation.

x =

0.30

Part H

Provide the equilibrium concentration of reactant A at 1 bar and a temperature of 53℃ using the same initial concentrations [A]₀ and [B]₀ as in parts C and D.

[A]eq =

mol/L

Part I

Provide the equilibrium concentration of product B at 1 bar and a temperature of 53℃ using the same initial concentrations [A]0[A]0 and [B]0[B]0 as in parts C and D.

[B]eq =

______

mol/L

Part J

Provide the equilibrium constant of the reaction at a temperature of 53 ℃.

KeqT2CﹾC =

______

Part K

Determine the reaction free energy at a temperature of 53 ℃.

ΔrG∘T2CﹾC =

_____

kJ/mol

To obtain your solution in parts H and I, you will have formulated a quadratic equation of the form:

x²+ p⋅x + q=0

Make sure not to leave a prefactor in front of x². In the following parts L to N, provide the parameters p and q in this equation as well as the physically meaningful solution for x.

Part L

Provide your value for p

p =

______

Part M

Part complete

Provide your value for q

q =

______

Part N

Part complete

Provide the physically meaningful solution for x in your quadratic equation.

x =

______

Answer 1