Since a solid is forming a gas, the dS will increase.
dStotal = dSsys + dSsurroundings.
dSsurrounds = -dH/T
As T increases, dS surroundings becomes less; therefore, at some point T will be high enough for the reaction to become spontaneous.
Suppose you do not know the enthalpy of decomposition of the process:
CaCO3 = CaO + CO2
Explain in terms of thermodynamic parameters why heating to a high temperature might turn this decomposition to a spontaneous process.
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