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=1200−273=927oC For ΔG<0,T>927oC