In the conversion of limestone to lime-CaCO 3 s - CaO s - CO 2 g The values of H - and S - are 179-1 kJ mol -1 and 160-2 JK -1 respectively at 298 K and 1 bar- Assuming H - and S - remains constant with temperature- at which temperature conversion of limestone to lime will be spontaneous-A- 845 KB- 1118 KC- 1008 KD- 1200 K

The correct option is B 1118 K What is the criteria for spontaneity?? Yes, G^∘ value. amp; we know, G^∘ = H^∘ T S^∘ For spontaneous reaction G^∘ = ve G^∘ ...

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Standard XII

Chemistry

Gibbs Free Energy & Spontaneity

In the conver...

Question

In the conversion of limestone to lime:
$C a C O_{3} (s) \to C a O (s) + C O_{2} (g)$
The values of $△ H^{\circ}$ and $△ S^{\circ}$ are 179.1 kJ $m o l^{- 1}$ and 160.2 J $K^{- 1}$ respectively at 298 K and 1 bar. Assuming $△ H^{\circ}$ and $△ S^{\circ}$ remains constant with temperature, at which temperature conversion of limestone to lime will be spontaneous:

1118 K

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1008 K

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1200 K

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845 K

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Solution

The explanation for the correct option:
Option(B) 1118 K
the criteria for spontaneity i $△ G^{\circ}$ value.
And we know,
$△ G^{\circ}$ = $△ H^{\circ}$ - $T △ S^{\circ}$
For spontaneous reaction $△ G^{\circ}$ = -ve
$△ G^{\circ}$ = $△ H^{\circ}$ - $T △ S^{\circ}$
$∴ △ H^{\circ}$ < $T △ S^{\circ}$
Or T > $\frac{△ H^{\circ}}{△ S^{\circ}}$ > $\frac{179.10 \times 10^{3}}{160.2}$ > 1118 K
Hence, Option(B) 1118 K is the temperature at which conversion of limestone to lime will be spontaneous

Suggest Corrections

Similar questions

In the conversion of limestone to lime:
$C a C O_{3} (s) \to C a O (s) + C O_{2} (g)$
The values of $△ H^{\circ}$ and $△ S^{\circ}$ are 179.1 kJ $m o l^{- 1}$ and 160.2 J/K respectively at 298 K and 1 bar. Assuming $△ H^{\circ}$ and $△ S^{\circ}$ remains constant with temperature, at what temperature will the conversion of limestone to lime be spontaneous?

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$C a C O_{3} (s) \to C a O (s) + C O_{2} (g)$ the values of $Δ H^{0}$ and $Δ S^{0}$ are $+ 179.1 k J m o l^{- 1}$ and $160.2 J / K$ respectively at 298 K and 1 bar. Assuming that $Δ H^{0}$ and $Δ S^{0}$ do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is

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