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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),ΔHo=180KJ,ΔSo=150J/K
Assuming that variation of enthalpy change and entropy change with temperature to be negligible, choose the correct option.

A
decomposition of CaCO3(s) is never spontaneous.
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B
decomposition of CaCO3(s) becomes spontaneous when temperature is less than 900oC
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C
decomposition of CaCO3(s) becomes non-spontaneous when temperature is greater than 1000oC
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D
decomposition of CaCO3(s) becomes spontaneous when temperature is greater than 927oC
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Solution

The correct option is D decomposition of CaCO3(s) becomes spontaneous when temperature is greater than 927oC
T=ΔHΔS=180×103150=1200K.
Temperature=1200273=927oC
For ΔG<0,T>927oC

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