2Al2O3 yields 4Al +3O2 delta H = 3351.5 kJ  what is the delta H for the formation of 10.2 g of Al2 O3

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2Al2Oyields 4Al +3Odelta H = 3351.5 kJ 

what is the delta H for the formation of 10.2 g of AlO3

 

Expert Solution
Step 1

Enthalpy of reaction is equal to the difference in enthalpy of product and reactants.

Hreaction=Hproduct-Hreactant

Enthalpy of formation is the amount of energy required to form one mole of compounds from its elements at standard conditions.

Standard enthalpy of compound in elemental state is zero.

Number of moles is equal to the ratio of mass to molar mass.

Number of moles=MassMolar mass

 

 

Step 2

To determine the enthalpy of reaction.

Balanced chemical reaction

2Al2O34Al+3O2  H=-3351.5kJ.

The given enthalpy is of enthalpy of decomposition of Al2O3 and hence to obtained enthalpy of formation of Al2O3 the reaction is reversed and hence, enthalpy of formation is 3351.5kJ.

4Al+3O2 2Al2O3 H=3351.5kJ.

Mass of Al2O3=10.2g.

Molar mass of Al2O3=101.96g/mol.

From the balanced chemical reaction 2 mole of Al2O3 absorb heat 3351.5kJ.

2 mole of Al2O3 absorb heat=3351.52=1675.75kJ.

Number of moles of Al2O3=MassMolar mass

Number of moles of Al2O3=10.2101.96=0.100 moles.

Enthalpy of formation of Al2O3=0.100×1675.75=167.575kJ.

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