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1. The native (folded) and denatured (unfolded) forms of many proteins can be described by the simple two-state equilibrium: Protein (native) <=> protein (denatured) For a 2.0mM solution of ribonuclease A, the concentration of the native and denatured forms of the protein at two different temperature is as follows: Temperature (°C) | [RNAse], denatured (mM) | [RNAse], native (mM) 50 | 0.0051 | 2.0 100 | 0.8 | 1.7 - Determine ?H° and ?S° for the folding reaction assuming that these thermodynamic quantities are approximately independent of temperature. You may want to consider the thermodynamic relationships: -RT ln K= ?H°- T?S° and ln K2/K1 = -?H°/R(1/T2 - 1/T1). - Estimate the value of ?G° for the folding of ribonuclease A at 25°C. - Is the folding of ribonuclease A spontaneous at standard state conditions? - What is the denaturation temperature of ribonuclease A under standard condition? The denaturation temperature can be thought of as the temperature at with ?G= 0 for the unfolding equilibrium.

          1. The native (folded) and denatured (unfolded) forms of many proteins can be described by the simple two-state equilibrium:

Protein (native) <=> protein (denatured)

For a 2.0mM solution of ribonuclease A, the concentration of the native and denatured forms of the protein at two different temperature is as follows:

Temperature (°C) | [RNAse], denatured (mM) | [RNAse], native (mM)
50 | 0.0051 | 2.0
100 | 0.8 | 1.7

- Determine ?H° and ?S° for the folding reaction assuming that these thermodynamic quantities are approximately independent of temperature. You may want to consider the thermodynamic relationships: -RT ln K= ?H°- T?S° and ln K2/K1 = -?H°/R(1/T2 - 1/T1).
- Estimate the value of ?G° for the folding of ribonuclease A at 25°C.
- Is the folding of ribonuclease A spontaneous at standard state conditions?
- What is the denaturation temperature of ribonuclease A under standard condition?
The denaturation temperature can be thought of as the temperature at with ?G= 0 for the unfolding equilibrium.

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1. The native (folded) and denatured (unfolded) forms of many proteins can be described by the simple two-state equilibrium:

Protein (native) <=> protein (denatured)

For a 2.0mM solution of ribonuclease A, the concentration of the native and denatured forms of the protein at two different temperature is as follows:

Temperature (°C) | [RNAse], denatured (mM) | [RNAse], native (mM)
50 | 0.0051 | 2.0
100 | 0.8 | 1.7

- Determine ?H° and ?S° for the folding reaction assuming that these thermodynamic quantities are approximately independent of temperature. You may want to consider the thermodynamic relationships: -RT ln K= ?H°- T?S° and ln K2/K1 = -?H°/R(1/T2 - 1/T1).
- Estimate the value of ?G° for the folding of ribonuclease A at 25°C.
- Is the folding of ribonuclease A spontaneous at standard state conditions?
- What is the denaturation temperature of ribonuclease A under standard condition?
The denaturation temperature can be thought of as the temperature at with ?G= 0 for the unfolding equilibrium.

Added by Linda C.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

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Solved by Expert Supreeta N

10/27/2023

Step 1

First, we need to calculate the equilibrium constant (K) for each temperature. The equilibrium constant can be calculated using the formula: K = [RNAse denatured] / [RNAse native] For temperature T1 (5°C or 278K): K1 = 0.005 / 0.995 = 0.005025 For temperature Show more…

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The native (folded) and denatured (unfolded) forms of many proteins can be described by the simple two-state equilibrium: Protein (native) <=> protein (denatured) For a 1 mM solution of ribonuclease A, the concentration of the native and denatured forms of the protein at two different temperatures is as follows: Temperature [RNAse] denatured (mM) [RNAse] native (mM) 0°C 100 5 Determine ΔH° and ΔS° for the folding reaction, assuming that these thermodynamic quantities are approximately independent of temperature. You may want to consider the thermodynamic relationships: -RT ln K = ΔH° - TΔS° K2 = K1 * e^(ΔH°/RT2) Estimate the value of ΔG° for the folding of ribonuclease A at 25°C. Is the folding of ribonuclease A spontaneous at standard state conditions? What is the denaturation temperature of ribonuclease A under standard conditions? The denaturation temperature can be thought of as the temperature at which ΔG° = 0 for the unfolding equilibrium.

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Transcript

00:01 So, the first part of the question is to determine the ?h and the ?s for the following reaction.

00:09 So, here the let us first find out the k which is the equilibrium constant of the rnas.

00:17 So, here we will be using this formula where the k which is the equilibrium constant is equal to rna is denatured divided by the rna is active.

00:30 So, here for different temperature so for t1 which is equal to 5 degree celsius or by converting it into kelvin it is equal to 278 kelvin.

00:47 So, let us put the value so here the k1 is thus equal to so here the rna is denatured at this temperature is 0 .005 divided by rna is active which is 0 .995.

01:03 So, here it is equal to 0 .005025 so this is k1.

01:08 Now we will calculate for temperature t2 which is equal to 100 degree celsius or we can say it is equal to 373 kelvin.

01:18 So, here the k2 is equal to 1 divided by 1 and it is equal to 1.

01:24 So, this is the k1 and k2 value.

01:27 Now we can use the venthoff equation to determine the enthalpy change.

01:32 So to determine the enthalpy change and the entropy change for the following folding.

01:38 So, we will be using this formula where so by using this venthoff equation we can calculate the ?h by putting the value.

01:45 So, here the r is the universal gas constant and it is equal to 8 .314 joule per mole per kelvin.

01:57 So, now let us put the value over here.

01:59 So, by putting the value and calculating from here we will calculate the ?h value.

02:05 So, here the ?h is thus equal to minus of 1 .71 into 10 raised to the power 5 joule per mole.

02:17 So, this is the ?h value.

02:19 Now we will calculate for the ?s value...

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