Part E When a 3.28 g sample of solid sodium hydroxide was dissolved in a calorimeter in 100.0 g of water, the temperature rose from 23.9 °C to 32.0 °C. Calculate AH (in kJ/mol NaOH) for the following solution 6. process: NaOH(s) → Na* (aq) + OH (aq) Assume that it's a perfect calorimeter and that the specific heat of the solution is the same as that of pure water.

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**Part E: Thermochemistry Calculation**

When a 3.28 g sample of solid sodium hydroxide (NaOH) was dissolved in a calorimeter in 100.0 g of water, the temperature rose from 23.9 °C to 32.0 °C. Calculate the enthalpy change (ΔH) in kJ/mol for the following dissolution process:

\[ \text{NaOH(s)} \rightarrow \text{Na}^+ \text{(aq)} + \text{OH}^- \text{(aq)} \]

Assume that it’s a perfect calorimeter and that the specific heat of the solution is the same as that of pure water.

Based on the calculation, the enthalpy change (ΔH) is given as:

\[ \Delta H = 42.63093788 \, \text{kJ/mol} \] 

**Explanation of Solution Process:**

This problem involves calculating the heat released or absorbed during the dissolution of sodium hydroxide in water using the formula:

\[ q = mc\Delta T \]

- \( q \) is the heat absorbed or released (in joules)
- \( m \) is the mass of the solution (in grams)
- \( c \) is the specific heat capacity of water (4.18 J/g°C for water)
- \( \Delta T \) is the change in temperature (in °C)

Since the process describes a dissolution reaction, and heat is exchanged between the system (NaOH) and the water, this can be used to find ΔH per mole of NaOH dissolved. The calculation involves converting the mass of NaOH to moles and using the temperature change to determine the energy change.
Transcribed Image Text:**Part E: Thermochemistry Calculation** When a 3.28 g sample of solid sodium hydroxide (NaOH) was dissolved in a calorimeter in 100.0 g of water, the temperature rose from 23.9 °C to 32.0 °C. Calculate the enthalpy change (ΔH) in kJ/mol for the following dissolution process: \[ \text{NaOH(s)} \rightarrow \text{Na}^+ \text{(aq)} + \text{OH}^- \text{(aq)} \] Assume that it’s a perfect calorimeter and that the specific heat of the solution is the same as that of pure water. Based on the calculation, the enthalpy change (ΔH) is given as: \[ \Delta H = 42.63093788 \, \text{kJ/mol} \] **Explanation of Solution Process:** This problem involves calculating the heat released or absorbed during the dissolution of sodium hydroxide in water using the formula: \[ q = mc\Delta T \] - \( q \) is the heat absorbed or released (in joules) - \( m \) is the mass of the solution (in grams) - \( c \) is the specific heat capacity of water (4.18 J/g°C for water) - \( \Delta T \) is the change in temperature (in °C) Since the process describes a dissolution reaction, and heat is exchanged between the system (NaOH) and the water, this can be used to find ΔH per mole of NaOH dissolved. The calculation involves converting the mass of NaOH to moles and using the temperature change to determine the energy change.
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