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Enthalpy

Quick lime ...

Question

Quick lime $(C a O)$ is produced by heating limestone $(C a C O_{3})$ to drive off $C O_{2}$ gas.
$C a C O_{3} (s) \to C a O (s) + C O_{2} (g), Δ H^{0} = 180 K J; Δ S^{0} = 150 J / K .$

Assuming the variation of enthalpy change and entropy change with temperature to be negligible, choose the incorrect option(s).

A

Decomposition of

C a C O_{3}

(s) is never spontaneous.

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B

Decomposition of

C a C O_{3}

(s) becomes spontaneous when temperature is less than

900^{0} C

.

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C

Decomposition of

C a C O_{3}

(s) becomes non-spontaneous when temperature is greater than

1000^{0} C

.

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D

Decomposition of

C a C O_{3}

(s) becomes spontaneous when temperature is greater than

927^{0} C

.

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Solution

The correct option is D Decomposition of $C a C O_{3}$ (s) becomes spontaneous when temperature is greater than $927^{0} C$ .
$T = \frac{Δ H}{Δ S} = \frac{180 \times 10^{3}}{150} = 1200 K .$
Temperature $= 1200 - 273 = 927^{0} C$
For $Δ G < 0, T > 927^{0} C$ .

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C a C O_{3} (s) \to C a O (s) + C O_{2} (g), Δ H^{o} = 180 K J, Δ S^{o} = 150 J / K

Assuming that variation of enthalpy change and entropy change with temperature to be negligible, choose the correct option.

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

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Δ S^{o}

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