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Question

Quick lime (CaO) is produced by heating limestone (CaCO3) to drive off CO2 gas.
CaCO3(s)CaO(s)+CO2(g),ΔH0=180KJ;ΔS0=150J/K.


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

A
Decomposition of CaCO3(s) is never spontaneous.
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B
Decomposition of CaCO3(s) becomes spontaneous when temperature is less than 9000C.
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C
Decomposition of CaCO3(s) becomes non-spontaneous when temperature is greater than 10000C.
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D
Decomposition of CaCO3(s) becomes spontaneous when temperature is greater than 9270C.
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Solution

The correct option is D Decomposition of CaCO3(s) becomes spontaneous when temperature is greater than 9270C.
T=ΔHΔS=180×103150=1200K.
Temperature =1200273=9270C
For ΔG<0,T>9270C.

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