Concept explainers
(a)
Interpretation:
The value of for the folding of lysozyme at should be calculated.
Concept introduction:
The standard Gibbs free energy change is related to standard enthalpy change and standard entropy change as follows:
Here,
is standard Gibbs free energy change
is standard enthalpy change
is standard entropy change
If is negative, the forward reaction is spontaneous.
If is zero, the system is at equilibrium.
If is positive, the reaction is spontaneous in the reverse direction.
Explanation of Solution
Given Information:
The process of a protein folding from an inactive unfolded structure to the active folded structure can be represented by the following equation.
The values of for the folding of the protein lysozyme are as follows:
Explanation:
The for the folding of lysozyme at can be calculated using following formulae.
……(1)
From the given,
Convert temperature from degree Celsius to Kelvin,
Substitute the values in the equation (1)
Therefore, for the folding of lysozyme at is .
(b)
Interpretation:
The temperature at which the unfolding of lysozyme is expected to become favorable should be determined.
Concept introduction:
The standard Gibbs free energy change is related to standard enthalpy change and standard entropy change as follows:
Here,
is standard Gibbs free energy change
is standard enthalpy change
is standard entropy change
If is negative, the forward reaction is spontaneous.
If is zero, the system is at equilibrium.
If is positive, the reaction is spontaneous in the reverse direction.
Explanation of Solution
Explanation:
If then the unfolding of lysozyme is favorable.
Temperature can be calculated at
Thus,
Putting the values,
Therefore,at temperature the unfolding of lysozyme is favorable.
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