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 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. ΑΣφ ?

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Chapter1: Chemical Foundations
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**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 ΔH (in kJ/mol NaOH) for the following solution process:

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

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

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

(Note: There is an input box provided for entering the ΔH value with buttons for equation formatting and other input features.)
Transcribed Image Text:**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 ΔH (in kJ/mol NaOH) for the following solution process: \[ \text{NaOH}(s) \rightarrow \text{Na}^+(aq) + \text{OH}^-(aq) \] Assume that it’s a perfect calorimeter and that the specific heat of the solution is the same as that of pure water. \[ \Delta H = \text{________} \, \text{kJ/mol} \] (Note: There is an input box provided for entering the ΔH value with buttons for equation formatting and other input features.)
**Part D**

If the specific heat of methanol is 2.51 J/K·g, how many joules are necessary to raise the temperature of 50 g of methanol from 20 °C to 61 °C?

**Explanation:**

To find the amount of energy (in joules) required, you can use the formula:

\[ Q = mc\Delta T \]

Where:
- \( Q \) is the heat energy (in joules)
- \( m \) is the mass (in grams)
- \( c \) is the specific heat capacity (in J/K·g)
- \( \Delta T \) is the change in temperature (in °C or K)

Given:
- \( m = 50 \) g
- \( c = 2.51 \) J/K·g
- Initial temperature = 20 °C
- Final temperature = 61 °C

First, calculate \( \Delta T \):

\[ \Delta T = 61 °C - 20 °C = 41 °C \]

Now, substitute the values into the formula:

\[ Q = (50 \text{ g}) \times (2.51 \text{ J/K·g}) \times (41 °C) \]

By calculating, you will find the energy required in joules.
Transcribed Image Text:**Part D** If the specific heat of methanol is 2.51 J/K·g, how many joules are necessary to raise the temperature of 50 g of methanol from 20 °C to 61 °C? **Explanation:** To find the amount of energy (in joules) required, you can use the formula: \[ Q = mc\Delta T \] Where: - \( Q \) is the heat energy (in joules) - \( m \) is the mass (in grams) - \( c \) is the specific heat capacity (in J/K·g) - \( \Delta T \) is the change in temperature (in °C or K) Given: - \( m = 50 \) g - \( c = 2.51 \) J/K·g - Initial temperature = 20 °C - Final temperature = 61 °C First, calculate \( \Delta T \): \[ \Delta T = 61 °C - 20 °C = 41 °C \] Now, substitute the values into the formula: \[ Q = (50 \text{ g}) \times (2.51 \text{ J/K·g}) \times (41 °C) \] By calculating, you will find the energy required in joules.
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