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Enthalpy

Quick lime Ca...

Question

Quick lime (CaO) is produced by heating limestone $(C a C O_{3})$ to drive off $C O_{2}$ gas.
$C a C O_{3} (s) \to C a O (s) + C O_{2} (g), Δ H^{o} = 180 K J, Δ S^{o} = 150 J / K$
Assuming that variation of enthalpy change and entropy change with temperature to be negligible, choose the correct option.

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^{o} C

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C

decomposition of

C a C O_{3} (s)

becomes non-spontaneous when temperature is greater than

1000^{o} C

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D

decomposition of

C a C O_{3} (s)

becomes spontaneous when temperature is greater than

927^{o} 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 $927^{o} C$
$T = \frac{Δ H}{Δ S} = \frac{180 \times 10^{3}}{150} = 1200 K$ .
$T e m p e r a t u r e = 1200 - 273 = 927^{o} C$
For $Δ G < 0, T > 927^{o} C$

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Similar questions

(C a O)

is produced by heating limestone

(C a C O_{3})

C O_{2}

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).

Q. In the conversion of limestone to lime,

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

Δ H^{o}

Δ S^{o}

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

160.2 k J {m o l}^{- 1}

respectively at

298 K

1

bar. Assuming that,

Δ H^{o}

Δ S^{o}

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

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

Δ S^{0}

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

160.2 J / K m o l

respectively at

298 K

1

bar. Assuming that

Δ H^{o}

Δ S^{o}

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

Q. In conversion of limestone to lime,

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

; the values of

Δ H^{0}

Δ S^{0}

are + 179.1 kJ/mol and 160.2J/K respectively, at 298K and 1 bar. Above what temperature, conversion of limestone to lime will be spontaneous (assuming that

Δ H^{0}

Δ S^{0}

do not change with temperature)?

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

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