Under what circumstances is the enthalpy of formation of a compound from its elements usually:

- positive
- negative

The enthalpy of formation of a compound from its elements is usually positive or negative depending on the specific chemical reaction and the relative energies of the reactants and products.

1. Positive Enthalpy of Formation:
- A positive enthalpy of formation typically indicates an endothermic reaction, meaning energy is absorbed from the surroundings.
- This occurs when the compound's formation requires more energy than is released by breaking the bonds in the reactant elements.
- For example, the formation of water (H2O) from hydrogen gas (H2) and oxygen gas (O2) releases less energy than the energy required to break the bonds in H2 and O2. Consequently, the enthalpy of formation of water is positive.

2. Negative Enthalpy of Formation:
- A negative enthalpy of formation generally indicates an exothermic reaction, where energy is released to the surroundings.
- This occurs when the energy released from forming the compound is greater than the energy required to break the reactant bonds.
- For instance, the formation of carbon dioxide (CO2) from carbon (C) and oxygen gas (O2) releases more energy than the energy required to break the carbon and oxygen bonds. Therefore, the enthalpy of formation of carbon dioxide is negative.

To determine whether the enthalpy of formation of a compound is positive or negative, one needs to consider the specific reaction and the bond energies of the elements involved. Experimental measurements or available thermodynamic data can also provide the enthalpy values for different compounds.