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Calculate The Heat of The Following Reaction 2al 3h2so4

Reviewed by Calculator Editorial Team

This calculator helps you determine the enthalpy change (ΔH) for the reaction 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂ using Hess's Law and standard enthalpies of formation. The calculation is based on the difference between the sum of the enthalpies of formation of the products and the sum of the enthalpies of formation of the reactants.

Introduction

The reaction between aluminum and sulfuric acid is an exothermic process that releases heat. Calculating the heat of this reaction involves determining the enthalpy change (ΔH) using standard enthalpies of formation. This calculation is essential for understanding the energy released during the reaction and its practical applications.

Note: Standard enthalpies of formation are typically reported in kilojoules per mole (kJ/mol) at standard conditions (25°C and 1 atm). The values used in this calculator are based on standard thermodynamic data.

Calculation Method

The enthalpy change for the reaction is calculated using Hess's Law, which states that the enthalpy change of a reaction is equal to the sum of the enthalpies of formation of the products minus the sum of the enthalpies of formation of the reactants.

Hess's Law Formula:

ΔHreaction = ΣΔHf,products - ΣΔHf,reactants

For the reaction 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂, the calculation involves the following steps:

  1. Determine the standard enthalpies of formation for all reactants and products.
  2. Multiply each enthalpy of formation by the stoichiometric coefficient.
  3. Sum the enthalpies of formation for the products and subtract the sum of the enthalpies of formation for the reactants.
Compound Standard Enthalpy of Formation (kJ/mol)
Aluminum (Al) 0
Sulfuric Acid (H₂SO₄) -814
Aluminum Sulfate (Al₂(SO₄)₃) -3340
Hydrogen Gas (H₂) 0

Example Calculation

Let's calculate the enthalpy change for the reaction 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂ using the standard enthalpies of formation provided.

Calculation Steps:

  1. Sum of enthalpies of formation for products: 1 × (-3340 kJ/mol) + 3 × 0 kJ/mol = -3340 kJ
  2. Sum of enthalpies of formation for reactants: 2 × 0 kJ/mol + 3 × (-814 kJ/mol) = -2442 kJ
  3. ΔHreaction = (-3340 kJ) - (-2442 kJ) = -898 kJ

The calculation shows that the reaction releases 898 kJ of heat. This is an exothermic reaction, as indicated by the negative ΔH value.

Interpretation

The negative ΔH value indicates that the reaction is exothermic, meaning it releases heat to the surroundings. This is typical for reactions involving the dissolution of metals in acids, where the energy released outweighs the energy required to break bonds.

Understanding the enthalpy change is crucial for applications such as:

  • Designing energy-efficient processes
  • Predicting reaction temperatures
  • Optimizing industrial reactions

Practical Consideration: The actual heat released may vary slightly depending on the specific conditions of the reaction, such as temperature and pressure.

FAQ

What is the standard enthalpy of formation?

The standard enthalpy of formation (ΔHf) is the change in enthalpy that occurs when one mole of a compound is formed from its constituent elements in their standard states at 25°C and 1 atm.

Why is the enthalpy change negative for this reaction?

The negative ΔH value indicates that the reaction is exothermic, meaning it releases heat to the surroundings. This is typical for reactions involving the dissolution of metals in acids.

Can I use this calculator for other reactions?

This calculator is specifically designed for the reaction 2Al + 3H₂SO₄. For other reactions, you would need to input the appropriate standard enthalpies of formation.