I'm not sure how to calculate the ΔH°rxn

for 3 Al + 3 NH4ClO4 -> Al2O3 + AlCl3 + 3 NO + 6 H2O. I'm honestly not sure where to start with this problem.

Look up the delta Ho formation of each. (Al is zero but the others have numbers for each.)

Then dHrxn = (n*dHformation products) - (n*dH formation reactants_

To calculate the standard enthalpy change (ΔH°rxn) for a reaction, you can use Hess's Law or standard enthalpy of formation values. Hess's Law states that if a reaction can be written as a sum of two or more reactions, then the enthalpy change for the overall reaction is the sum of the enthalpy changes for the individual reactions.

In this case, you can break down the given reaction into individual reactions for which the enthalpy changes are known. You need to find the enthalpies of formation for the compounds involved, and then use these values to calculate the enthalpy change.

Here's how to approach the problem step by step:

Step 1: Write down the balanced equation for the given reaction:
3 Al + 3 NH4ClO4 -> Al2O3 + AlCl3 + 3 NO + 6 H2O

Step 2: Look up the standard enthalpy of formation values for each compound involved in the reaction. These values represent the enthalpy change when the compound is formed from its elements in their standard states (1 atm pressure and 25°C temperature). You can find these values in reference tables or online databases.

Step 3: Calculate the ΔH°rxn using Hess's Law.

- To calculate the ΔH°rxn, you need to know the enthalpy of formation for each compound and the stoichiometric coefficients in the balanced equation. Multiply each compound's enthalpy of formation by its stoichiometric coefficient, and then sum up these values:

ΔH°rxn = (n×ΔH°f [Al2O3]) + (m×ΔH°f [AlCl3]) + (p×ΔH°f [NO]) + (q×ΔH°f [H2O])

Where n, m, p, and q are the stoichiometric coefficients of Al2O3, AlCl3, NO, and H2O, respectively.

Step 4: Substitute the known values into the equation and calculate the result.

Remember to pay attention to the stoichiometric coefficients and the sign convention (whether heat is released or absorbed) when performing the calculations.