b) Calculate the amount of heat involved in the conversion of 25.00 g of water at 100° to steam at 100°. (AHvaporization = 40.7 kJ/mol)

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Chapter1: Chemical Foundations
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**Question:**

Calculate the amount of heat involved in the conversion of 25.00 g of water at 100°C to steam at 100°C. (ΔH_vaporization = 40.7 kJ/mol)

**Explanation:**

To solve this problem, we need to determine how much heat is required to convert a given mass of water into steam at the same temperature, utilizing the enthalpy of vaporization.

- **Step 1:** Calculate the number of moles of water.

  Water has a molar mass of approximately 18.02 g/mol. 

  Number of moles (n) = mass (m) / molar mass (M)

  \( n = \frac{25.00 \, \text{g}}{18.02 \, \text{g/mol}} \)

- **Step 2:** Use the enthalpy of vaporization.

  The amount of heat (q) required can be calculated using:

  \( q = \Delta H_{\text{vaporization}} \times n \)

  Where \( \Delta H_{\text{vaporization}} = 40.7 \, \text{kJ/mol} \). 

Substitute the values from the previous steps to determine the total heat needed. Note that this calculation shows the process of vaporizing water at its boiling point without any change in temperature.
Transcribed Image Text:**Question:** Calculate the amount of heat involved in the conversion of 25.00 g of water at 100°C to steam at 100°C. (ΔH_vaporization = 40.7 kJ/mol) **Explanation:** To solve this problem, we need to determine how much heat is required to convert a given mass of water into steam at the same temperature, utilizing the enthalpy of vaporization. - **Step 1:** Calculate the number of moles of water. Water has a molar mass of approximately 18.02 g/mol. Number of moles (n) = mass (m) / molar mass (M) \( n = \frac{25.00 \, \text{g}}{18.02 \, \text{g/mol}} \) - **Step 2:** Use the enthalpy of vaporization. The amount of heat (q) required can be calculated using: \( q = \Delta H_{\text{vaporization}} \times n \) Where \( \Delta H_{\text{vaporization}} = 40.7 \, \text{kJ/mol} \). Substitute the values from the previous steps to determine the total heat needed. Note that this calculation shows the process of vaporizing water at its boiling point without any change in temperature.
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