Which of the following conditions will oppose or prevent a reaction from occurring?

  • A
    $\Delta H = +ve, \Delta S = +ve$ but $\Delta H < T \Delta S$
  • B
    $\Delta H = -ve, \Delta S = -ve$ but $\Delta H > T \Delta S$
  • C
    $\Delta H = -ve, \Delta S = +ve$
  • D
    $\Delta H = +ve, \Delta S = -ve$

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For the conversion of limestone to lime,$CaCO_{3(s)} \rightarrow CaO_{(s)} + CO_{2(g)}$,the values of $\Delta H^{\circ}$ and $\Delta S^{\circ}$ at $298 \, K$ and $1 \, bar$ pressure are $+179.1 \, kJ \, mol^{-1}$ and $160.2 \, J \, K^{-1} \, mol^{-1}$ respectively. Assuming $\Delta H^{\circ}$ and $\Delta S^{\circ}$ do not change with temperature,at what temperature (in $K$) will the conversion of limestone to lime become spontaneous (in $, K$)?

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Condition Details
$A$. $\Delta H: +, \Delta S: -$ $T$: any $T$,Spontaneity: Non-spontaneous
$B$. $\Delta H: +, \Delta S: +$ $T$: low $T$,Spontaneity: Non-spontaneous
$C$. $\Delta H: -, \Delta S: -$ $T$: low $T$,Spontaneity: Spontaneous
$D$. $\Delta H: -, \Delta S: +$ $T$: any $T$,Spontaneity: Spontaneous

Which of the above conditions are correctly matched?

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