15. Ammonium nitrate, NH4NO3, and aluminum powder react explosively producing nitrogen gas, water vapor and aluminum oxide. Write the balanced equation and calculate the enthalpy change for this reaction.

Explanation:

In this case, we have to start with the reagents:

The compounds given by the problem are:

-) Nitrogen gas =  

-) Water vapor  =  

-) Aluminum oxide =  

Now, we can put the products in the reaction:

When we balance the reaction we will obtain:

Now, for the enthalpy change, we have to find the standard enthalpy values:

With this in mind, if we multiply the number of moles (in the balanced reaction) by the standard enthalpy value,  we can calculate the energy of the reagents:

And the products:

Finally, for the total enthalpy we have to subtract products by reagents :

I hope it helps!