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Yes, candle burning is a spontaneous process. A spontaneous process is defined as: once it is allowed to start, the process will proceed to the finish without any external intervention. You lit the candle, it was allowed to burn and it would keep going without any help. The Gibbs free energy change for this process is negative.

On the other hand, the decomposition of CaCO3(s) is NOT a spontaneous process. You have to keep heating the reaction vessel in order to decompose all CaCO3. Outside intervention is needed for this process to finish.

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Q: Is burning of candel is spontaneous process?
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