The following information is given for cadmium at 1 atm: Boiling point 765.0°C Heat of vaporization = 213 cal/g Melting point = 321.0°C Heat of fusion 13.0 cal/g = 9 for this question. Heat is added to a sample of solid cadmium at its normal melting point of 321.0°C. How many grams of cadmium will melt if 1.69 kcal of energy are added?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Educational Content: Cadmium Phase Change Calculation**

**Given Information:**

For cadmium at 1 atm:
- **Boiling point:** 765.0°C  
- **Heat of vaporization:** 213 cal/g  
- **Melting point:** 321.0°C  
- **Heat of fusion:** 13.0 cal/g  

**Problem:**

Calculate the grams of cadmium that will melt at its normal melting point of 321.0°C when 1.69 kcal of energy is added.

**Procedure:**

To find the amount of cadmium that melts, use the heat of fusion formula:

\[ 
\text{Heat required for fusion} = \text{mass} \times \text{heat of fusion}
\]

Here, the energy provided is 1.69 kcal, which is equal to 1690 cal (since \(1 \text{kcal} = 1000 \text{cal}\)).

Given:
- Heat of fusion for cadmium = 13.0 cal/g
- Total energy provided = 1690 cal

**Calculation:**

\[
\text{mass} = \frac{\text{Total energy}}{\text{Heat of fusion}} = \frac{1690 \text{ cal}}{13.0 \text{ cal/g}} 
\]

\[
\text{mass} = 130 \text{ g}
\]

Therefore, 130 grams of cadmium will melt when 1.69 kcal of energy is added.
Transcribed Image Text:**Educational Content: Cadmium Phase Change Calculation** **Given Information:** For cadmium at 1 atm: - **Boiling point:** 765.0°C - **Heat of vaporization:** 213 cal/g - **Melting point:** 321.0°C - **Heat of fusion:** 13.0 cal/g **Problem:** Calculate the grams of cadmium that will melt at its normal melting point of 321.0°C when 1.69 kcal of energy is added. **Procedure:** To find the amount of cadmium that melts, use the heat of fusion formula: \[ \text{Heat required for fusion} = \text{mass} \times \text{heat of fusion} \] Here, the energy provided is 1.69 kcal, which is equal to 1690 cal (since \(1 \text{kcal} = 1000 \text{cal}\)). Given: - Heat of fusion for cadmium = 13.0 cal/g - Total energy provided = 1690 cal **Calculation:** \[ \text{mass} = \frac{\text{Total energy}}{\text{Heat of fusion}} = \frac{1690 \text{ cal}}{13.0 \text{ cal/g}} \] \[ \text{mass} = 130 \text{ g} \] Therefore, 130 grams of cadmium will melt when 1.69 kcal of energy is added.
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