In the conversion of limestone to lime-CaCO3s - CaOs - CO2gThe values of H- and S- are 179-1 kJ mol-1 and 160-2 J-K respectively at 298 K and 1 bar- Assuming H- and S- remains constant with temperature- at what temperature will the conversion of limestone to lime be spontaneous-

What is the criteria for spontaneity? The G^∘ value. We know that: G^∘ = H^∘ T S^∘ For spontaneous reactions G^∘ = ve G^∘ = H^∘ T S^∘ ∴ H^∘ lt; T S^∘ Or ...

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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 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?

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 correct option is A
1118 K

What is the criteria for spontaneity?
The $△ G^{\circ}$ value.
We know that:
$△ G^{\circ}$ = $△ H^{\circ}$ - $T △ S^{\circ}$
For spontaneous reactions $△ G^{\circ}$ = -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

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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 $K^{- 1}$ 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:

Q. In conversion of lime-stone to lime,

C a C O_{3} (s) \to C a O (s) + C O_{2} (g)

, the values of

Δ^{0} H

and

Δ S^{0}

are

+ 179.1 k J m o l^{- 1}

and

160.2 J / K m o l

respectively at

298 K

and

1

bar. Assuming that

Δ H^{o}

and

Δ S^{o}

do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is:

In concersion of lime-stone to lime,

$C a C O_{3} (s) \to C a O (s) + C O_{2} (g)$ 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