(D) For a process to be spontaneous,the Gibbs free energy change must be negative,i.e.,$\Delta G < 0$.Given $\Delta G = \Delta H - T \Delta S$,the con

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(D) For a process to be spontaneous,the Gibbs free energy change must be negative,i.e.,$\Delta G Given $\Delta G = \Delta H - T \Delta S$,the condition for spontaneity is $\Delta H - T \Delta S This implies $T > \frac{\Delta H}{\Delta S}$.Given $\Delta H = +179.1 \ kJ \ mol^{-1} = 179100 \ J \ mol^{-1}$ and $\Delta S = +160.2 \ J \ K^{-1} \ mol^{-1}$.$T > \frac{179100}{160.2} \ K$.$T > 1117.97 \ K$.Therefore,the process becomes spontaneous at temperatures higher than $1118 \ K$.

Class 11 Chemistry Thermodynamics Free energy and Work

Medium

For the reaction $CaCO_3(s) \rightarrow CaO(s) + CO_2(g)$ at $298 \ K$ and $1 \ atm$ pressure,the values of $\Delta H^o$ and $\Delta S^o$ are $+179.1 \ kJ \ mol^{-1}$ and $+160.2 \ J \ K^{-1} \ mol^{-1}$ respectively. Assuming that $\Delta H^o$ and $\Delta S^o$ do not change with temperature,at what temperature (in $K$) will the process become spontaneous?

A
$1008$
B
$1200$
C
$845$
D
$1118$

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Class 11

Chemistry Questions

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Thermodynamics

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Free energy and Work

For the oxidation of ammonia at $298 \ K$,the standard enthalpy and standard entropy changes are $-382.64 \ kJ \ mol^{-1}$ and $-145.6 \ J \ K^{-1} \ mol^{-1}$ respectively. The standard Gibbs energy change for the same reaction at $298 \ K$ is $..... \ kJ \ mol^{-1}$.

MediumAIPMT 2004

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For a reaction to occur spontaneously,which of the following conditions must be met?

MediumAIPMT 1995

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Which of the following processes will never be a spontaneous process?

Easy

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For a given reaction,$\Delta H = 35.5 \ kJ \ mol^{-1}$ and $\Delta S = 83.6 \ J \ K^{-1} \ mol^{-1}$. The reaction is spontaneous at (Assume that $\Delta H$ and $\Delta S$ do not vary with temperature.)

MediumNEET 2017

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For a given chemical reaction $A \rightarrow B$ at $300 \ K$,the free energy change is $-49.4 \ kJ \ mol^{-1}$ and the enthalpy of reaction is $51.4 \ kJ \ mol^{-1}$. The entropy change of the reaction is $..... \ J \ K^{-1} \ mol^{-1}$.

DifficultJEE MAIN 2021

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For the oxidation of ammonia at $298 \ K$,the standard enthalpy and standard entropy changes are $-382.64 \ kJ \ mol^{-1}$ and $-145.6 \ J \ K^{-1} \ mol^{-1}$ respectively. The standard Gibbs energy change for the same reaction at $298 \ K$ is $..... \ kJ \ mol^{-1}$.

For a reaction to occur spontaneously,which of the following conditions must be met?

Which of the following processes will never be a spontaneous process?

For a given reaction,$\Delta H = 35.5 \ kJ \ mol^{-1}$ and $\Delta S = 83.6 \ J \ K^{-1} \ mol^{-1}$. The reaction is spontaneous at (Assume that $\Delta H$ and $\Delta S$ do not vary with temperature.)

For a given chemical reaction $A \rightarrow B$ at $300 \ K$,the free energy change is $-49.4 \ kJ \ mol^{-1}$ and the enthalpy of reaction is $51.4 \ kJ \ mol^{-1}$. The entropy change of the reaction is $..... \ J \ K^{-1} \ mol^{-1}$.

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