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andselisk ♦
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Micellisation is found to be spontaneous i.e. $\Delta G<0$.$\Delta G < 0.$ It's found that $\Delta S>0$,$\Delta S > 0,$ which was intuitive since, solvated molecules are released. And, it may be most loosely started that $\Delta H>0$$\Delta H > 0$ i.e endothermic at low temperature and exothermic ($\Delta H<0$) at higher temperatures. Guess why?

Hint, derive that $\Delta H^\circ=-RT^2 \dfrac{\mathrm d(\ln{\text{CMC}})}{\mathrm dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property-concentrationproperty–concentration $(\phi$ against $S_{tot})$$S_\mathrm{tot})$ relationship $\dfrac{\mathrm d^3\phi}{\mathrm dS^3_{tot}}=0$. [emphasis mine]$\dfrac{\mathrm d^3\phi}{\mathrm dS^3_\mathrm{tot}} = 0.$

(emphasis mine)

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $\Delta G$ can be shown to be approximately $(1+\beta)\ln{\text{CMC}}$$(1 + \beta)\ln{\text{CMC}}$.

Writing $\Delta H^\circ=\Delta G^\circ + T\Delta S^\circ$$\Delta H^\circ = \Delta G^\circ + T\Delta S^\circ$ and plugging in the values I couldn't get the desired term. Is my process correct?

Also, what's the meaning of “ideal-property concentration property–concentration”?

Micellisation is found to be spontaneous i.e. $\Delta G<0$. It's found that $\Delta S>0$, which was intuitive since, solvated molecules are released. And, it may be most loosely started that $\Delta H>0$ i.e endothermic at low temperature and exothermic ($\Delta H<0$) at higher temperatures. Guess why?

Hint, derive that $\Delta H^\circ=-RT^2 \dfrac{\mathrm d(\ln{\text{CMC}})}{\mathrm dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property-concentration $(\phi$ against $S_{tot})$ relationship $\dfrac{\mathrm d^3\phi}{\mathrm dS^3_{tot}}=0$. [emphasis mine]

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $\Delta G$ can be shown to be approximately $(1+\beta)\ln{\text{CMC}}$.

Writing $\Delta H^\circ=\Delta G^\circ + T\Delta S^\circ$ and plugging in the values I couldn't get the desired term. Is my process correct?

Also, what's the meaning of ideal-property concentration?

Micellisation is found to be spontaneous i.e. $\Delta G < 0.$ It's found that $\Delta S > 0,$ which was intuitive since, solvated molecules are released. And, it may be most loosely started that $\Delta H > 0$ i.e endothermic at low temperature and exothermic ($\Delta H<0$) at higher temperatures. Guess why?

Hint, derive that $\Delta H^\circ=-RT^2 \dfrac{\mathrm d(\ln{\text{CMC}})}{\mathrm dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property–concentration $(\phi$ against $S_\mathrm{tot})$ relationship $\dfrac{\mathrm d^3\phi}{\mathrm dS^3_\mathrm{tot}} = 0.$

(emphasis mine)

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $\Delta G$ can be shown to be approximately $(1 + \beta)\ln{\text{CMC}}$.

Writing $\Delta H^\circ = \Delta G^\circ + T\Delta S^\circ$ and plugging in the values I couldn't get the desired term. Is my process correct?

Also, what's the meaning of “ideal property–concentration”?

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Safdar Faisal
Safdar Faisal
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Micellisation is found to be spontaneous i.e. $∆G<0$$\Delta G<0$. It's found that $∆S>0$$\Delta S>0$, which was intuitive since, solvated molecules are released. And, it may be most loosely started that $∆H>0$$\Delta H>0$ i.e endothermic at low temperature and exothermic ($∆H<0$$\Delta H<0$) at higher temperatures. Guess why? 

Hint, derive that $∆H^\circ=-RT^2 \dfrac{d(\ln{CMC})}{dT}$$\Delta H^\circ=-RT^2 \dfrac{\mathrm d(\ln{\text{CMC}})}{\mathrm dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property-concentration $(\phi$ against $S_{tot})$ relationship $\dfrac{d^3\phi}{dS^3_{tot}}=0$$\dfrac{\mathrm d^3\phi}{\mathrm dS^3_{tot}}=0$. [emphasis mine]

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $∆G$$\Delta G$ can be shown to be approximately $(1+\beta)\ln{CMC}$$(1+\beta)\ln{\text{CMC}}$. 

Writing $∆H^\circ=∆G^\circ + T∆S^\circ$$\Delta H^\circ=\Delta G^\circ + T\Delta S^\circ$ and plugging in the values I couldn't get the desired term. Is my process correct? 

Also, what's the termmeaning of ideal-property concentration term didn't make sense to me. What's the meaning of it?

Micellisation is found to be spontaneous i.e. $∆G<0$. It's found that $∆S>0$, which was intuitive since, solvated molecules are released. And, it may be most loosely started that $∆H>0$ i.e endothermic at low temperature and exothermic ($∆H<0$) at higher temperatures. Guess why? Hint, derive that $∆H^\circ=-RT^2 \dfrac{d(\ln{CMC})}{dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property-concentration $(\phi$ against $S_{tot})$ relationship $\dfrac{d^3\phi}{dS^3_{tot}}=0$.

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $∆G$ can be shown to be approximately $(1+\beta)\ln{CMC}$. Writing $∆H^\circ=∆G^\circ + T∆S^\circ$ and plugging in values I couldn't get the desired term. Is my process correct? Also the term ideal-property concentration term didn't make sense to me. What's the meaning of it?

Micellisation is found to be spontaneous i.e. $\Delta G<0$. It's found that $\Delta S>0$, which was intuitive since, solvated molecules are released. And, it may be most loosely started that $\Delta H>0$ i.e endothermic at low temperature and exothermic ($\Delta H<0$) at higher temperatures. Guess why? 

Hint, derive that $\Delta H^\circ=-RT^2 \dfrac{\mathrm d(\ln{\text{CMC}})}{\mathrm dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property-concentration $(\phi$ against $S_{tot})$ relationship $\dfrac{\mathrm d^3\phi}{\mathrm dS^3_{tot}}=0$. [emphasis mine]

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $\Delta G$ can be shown to be approximately $(1+\beta)\ln{\text{CMC}}$. 

Writing $\Delta H^\circ=\Delta G^\circ + T\Delta S^\circ$ and plugging in the values I couldn't get the desired term. Is my process correct? 

Also, what's the meaning of ideal-property concentration?

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Munchkin
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Thermodynamics of micellisation

Micellisation is found to be spontaneous i.e. $∆G<0$. It's found that $∆S>0$, which was intuitive since, solvated molecules are released. And, it may be most loosely started that $∆H>0$ i.e endothermic at low temperature and exothermic ($∆H<0$) at higher temperatures. Guess why? Hint, derive that $∆H^\circ=-RT^2 \dfrac{d(\ln{CMC})}{dT}$. And CMC may be defined as CMC as the point corresponding to the maximum change in gradient in an ideal property-concentration $(\phi$ against $S_{tot})$ relationship $\dfrac{d^3\phi}{dS^3_{tot}}=0$.

Why was most loosely stated term used in the text? Isn't it true? Excluding non-dressed micelle model, $∆G$ can be shown to be approximately $(1+\beta)\ln{CMC}$. Writing $∆H^\circ=∆G^\circ + T∆S^\circ$ and plugging in values I couldn't get the desired term. Is my process correct? Also the term ideal-property concentration term didn't make sense to me. What's the meaning of it?