Campbell Ryan
09/08/2024 · Primary School
Moles of \( \mathrm{H}^{+} \)that were neutralized (mol). Hint: number of moles of neutralized \( \mathrm{H}+ \) is equal to the number of moles of \( \mathrm{H}+ \) used in the neutralization reaction. Calculate the heat for the studied reaction in Joules.
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Step-by-step Solution
To calculate the heat for a neutralization reaction, we need to know the number of moles of \( \mathrm{H}^+ \) that were neutralized and the enthalpy change associated with the reaction. The heat released or absorbed during the reaction can be calculated using the formula:
\[
q = n \times \Delta H
\]
where:
- \( q \) is the heat (in Joules),
- \( n \) is the number of moles of \( \mathrm{H}^+ \) that were neutralized,
- \( \Delta H \) is the enthalpy change for the reaction (in Joules per mole).
### Steps to Calculate Heat:
1. **Determine the number of moles of \( \mathrm{H}^+ \)**:
- If you have the concentration and volume of the acid solution, you can calculate the moles of \( \mathrm{H}^+ \) using the formula:
\[
n = C \times V
\]
where \( C \) is the concentration (in moles per liter) and \( V \) is the volume (in liters).
2. **Find the enthalpy change (\( \Delta H \))**:
- The enthalpy change for the neutralization of a strong acid with a strong base is typically around \(-57.1 \, \text{kJ/mol}\) (or \(-57100 \, \text{J/mol}\)).
3. **Calculate the heat**:
- Substitute the values of \( n \) and \( \Delta H \) into the heat equation.
### Example Calculation:
Assuming you have 0.1 moles of \( \mathrm{H}^+ \) neutralized:
1. **Moles of \( \mathrm{H}^+ \)**:
\[
n = 0.1 \, \text{mol}
\]
2. **Enthalpy change**:
\[
\Delta H = -57100 \, \text{J/mol}
\]
3. **Calculate heat**:
\[
q = n \times \Delta H = 0.1 \, \text{mol} \times (-57100 \, \text{J/mol}) = -5710 \, \text{J}
\]
Thus, the heat for the reaction would be \(-5710 \, \text{J}\), indicating that the reaction is exothermic.
### Conclusion:
To provide a specific answer, please provide the number of moles of \( \mathrm{H}^+ \) that were neutralized or any additional details about the reaction conditions.
Quick Answer
To calculate the heat of a neutralization reaction, use the formula \( q = n \times \Delta H \), where \( q \) is the heat in Joules, \( n \) is the number of moles of \( \mathrm{H}^+ \) neutralized, and \( \Delta H \) is the enthalpy change per mole. The typical enthalpy change for a strong acid-strong base neutralization is \(-57100 \, \text{J/mol}\).
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