Consider the reaction A ⇌ B at 1000 K. At time ’, the temperature of the system was increased to 2000 K and the system was allowed to reach equilibrium. Throughout this experiment, the partial pressure of A was maintained at 1 bar. Given below is the plot of the partial pressure of B with time.
What is the ratio of the standard Gibbs energy of the reaction at 1000 K to that at 2000 K?
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we have to find the ratio of the standard Gibbs energy of the reaction at 1000K to that at 2000K.
solution : consider the reaction, A ⇔B
from graph, equilibrium constant at 1000K,
K₁ = 10
and equilibrium constant at 2000K,
k₂ = 100
now using formula, ∆G = -RTlnK
so, Gibbs energy of reaction at 1000K , ∆G₁ = -R(1000)ln(10)
Gibbs energy of reaction at 2000K, ∆G₂ = -R(2000)ln(100)
now ∆G₁/∆G₂ = [-R(1000)ln(10)]/[-R(2000)ln(100)]
= (1/4)
= 0.25
Therefore the ratio of the standard Gibbs energy for the reaction at 1000K to that at 2000K is 0.25
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Answer:
ratio = 1/4
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