25.00 mL of 0.200 M sulfuric acid was added to 25.00 mL of 0.200 M NAOH, in a constant volume calorimeter. The density of the resulting solution is 1.225 g/mL and its specific heat is 5.321 J/g-°C. As the reaction took place, the temperature of the solution rose from 22.0 °C to 31.3 °C. What is AH (in units of kJ/mol) for the reaction, per mole of water formed? This is a limiting reactant problem and your choice of limiting reactant must be justified through stoichiometric calculations.

Chemistry by OpenStax (2015-05-04)
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Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
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Chapter5: Thermochemistry
Section: Chapter Questions
Problem 69E: Using the data in Appendix G, calculate the standard enthalpy change for each of the following...
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### Problem Statement:

**Question 21:**

25.00 mL of 0.200 M sulfuric acid was added to 25.00 mL of 0.200 M NaOH, in a constant volume calorimeter. The density of the resulting solution is 1.225 g/mL and its specific heat is 5.321 J/g·°C. As the reaction took place, the temperature of the solution rose from 22.0 °C to 31.3 °C. What is ΔH (in units of kJ/mol) for the reaction, per mole of water formed? This is a limiting reactant problem, and your choice of limiting reactant must be justified through stoichiometric calculations.

**Explanation:**

In this problem, you are provided with the following data:
- Volume of sulfuric acid (H₂SO₄) = 25.00 mL
- Molarity of H₂SO₄ = 0.200 M
- Volume of sodium hydroxide (NaOH) = 25.00 mL
- Molarity of NaOH = 0.200 M
- Density of the resulting solution = 1.225 g/mL
- Specific heat of the solution = 5.321 J/g·°C
- Initial temperature = 22.0 °C
- Final temperature = 31.3 °C

The task is to determine the enthalpy change (ΔH) of the reaction per mole of water produced. This involves performing a stoichiometric calculation to identify the limiting reactant and using the calorimetric data to calculate the enthalpy change.
Transcribed Image Text:### Problem Statement: **Question 21:** 25.00 mL of 0.200 M sulfuric acid was added to 25.00 mL of 0.200 M NaOH, in a constant volume calorimeter. The density of the resulting solution is 1.225 g/mL and its specific heat is 5.321 J/g·°C. As the reaction took place, the temperature of the solution rose from 22.0 °C to 31.3 °C. What is ΔH (in units of kJ/mol) for the reaction, per mole of water formed? This is a limiting reactant problem, and your choice of limiting reactant must be justified through stoichiometric calculations. **Explanation:** In this problem, you are provided with the following data: - Volume of sulfuric acid (H₂SO₄) = 25.00 mL - Molarity of H₂SO₄ = 0.200 M - Volume of sodium hydroxide (NaOH) = 25.00 mL - Molarity of NaOH = 0.200 M - Density of the resulting solution = 1.225 g/mL - Specific heat of the solution = 5.321 J/g·°C - Initial temperature = 22.0 °C - Final temperature = 31.3 °C The task is to determine the enthalpy change (ΔH) of the reaction per mole of water produced. This involves performing a stoichiometric calculation to identify the limiting reactant and using the calorimetric data to calculate the enthalpy change.
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