a propane gas reacts with oxygen to produce carbon dioaxide and water is this heat energy or nucler energy

The reaction you mentioned, where propane gas reacts with oxygen to produce carbon dioxide and water, is an example of a chemical reaction and involves the release of heat energy. This heat energy is the result of the rearrangement of chemical bonds and the formation of new bonds between the atoms involved.

To determine whether a reaction involves heat energy or nuclear energy, it's important to understand the difference between chemical reactions and nuclear reactions. Chemical reactions involve the rearrangement of atoms to form new substances, whereas nuclear reactions involve changes within the nucleus of an atom, such as nuclear fission or fusion.

In the case of the reaction between propane and oxygen, it is a chemical reaction because it involves the breaking and forming of bonds between atoms. There is no involvement of nuclear reactions or changes in the atomic nucleus.

The release of heat energy during this reaction can be observed when propane (C3H8) burns in the presence of oxygen (O2) to produce carbon dioxide (CO2) and water (H2O), along with the release of heat and light:

C3H8 + 5O2 → 3CO2 + 4H2O + heat energy

So, in summary, the reaction between propane gas and oxygen in this case is an example of a chemical reaction and involves the release of heat energy.