A previous answer stated 36° C
This is obviously not correct as coffee (the drink) is not solid at room temperature. Nor do coffee beans or grounds melt at this temperature which would not be extreme for the natural environments in which coffee crops are traditionally cultivated.
As coffee when prepared for drinking is primarily water, the melting point is probably similar to that of water, i.e. ~0° C.
Impurities in water normally have the effect of lowering the melting point, which means that the melting point of coffee is likely to be just below that of water.
The exact value would differ from cup to cup depending upon the beans used and the concentration or strength. The addition of sugar and/or dairy products would also be factors affecting the melting point.
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