20 grams of ice initially at -15◦C is placed on top of 100 grams of 350◦C solid gold in a thermally insulating container. a) Does all of the ice melt by they time thermal equilibrium is established? If not, how many grams of the ice melt? b) What is the final temperature of the mixture? c) What is the change in entropy of the gold bar

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20 grams of ice initially at -15◦C is placed on top of 100 grams of 350◦C solid gold in a
thermally insulating container.

a) Does all of the ice melt by they time thermal equilibrium is established? If not, how many
grams of the ice melt?

b) What is the final temperature of the mixture? 

c) What is the change in entropy of the gold bar? 

### Material Properties Table

Below is a comprehensive table showcasing various properties of different materials. This information is essential for understanding the thermal and physical characteristics of common substances.

| **Material**       | **α (°C⁻¹)**   | **c (J/(kg K))** | **C (J/(mol K))** | **Lf (J/kg)** | **Lv (J/kg)** | **Density (kg/m³)** |
|--------------------|----------------|------------------|-------------------|---------------|---------------|---------------------|
| **Gold**           | -              | -                | 129               | 25            | -             | -                   |
| **Copper**         | 1.65 × 10⁻⁵    | -                | -                 | -             | -             | 19,300              |
| **Aluminum**       | 2.3 × 10⁻⁵     | -                | -                 | -             | -             | 8,960               |
| **Stainless Steel**| 1.75 × 10⁻⁵    | -                | -                 | -             | -             | 2,700               |
| **Water**          | -              | 4190             | 75                | 3.33 × 10⁵    | 22.6 × 10⁵    | 1,000               |
| **Ethyl Alcohol**  | -              | 2400             | 110               | 1.09 × 10⁵    | 8.79 × 10⁵    | 790                 |
| **Ice**            | -              | 2090             | 37.6              | -             | -             | 917                 |

### Constants

- **1 atm** = 1.01 × 10⁵ Pa
- **Nᴀ** = 6.022 × 10²³ particles/mol
- **R** = 8.3145 J/(mol K)
- **kʙ** = 1.38 × 10⁻²³ J/K
- **σ** = 5.67 × 10⁻⁸ W/(m²K⁴)

This table outlines key thermal expansion coefficients (α), specific heat capacities (c), molar heat capacities (C), latent heat of fusion (Lf),
Transcribed Image Text:### Material Properties Table Below is a comprehensive table showcasing various properties of different materials. This information is essential for understanding the thermal and physical characteristics of common substances. | **Material** | **α (°C⁻¹)** | **c (J/(kg K))** | **C (J/(mol K))** | **Lf (J/kg)** | **Lv (J/kg)** | **Density (kg/m³)** | |--------------------|----------------|------------------|-------------------|---------------|---------------|---------------------| | **Gold** | - | - | 129 | 25 | - | - | | **Copper** | 1.65 × 10⁻⁵ | - | - | - | - | 19,300 | | **Aluminum** | 2.3 × 10⁻⁵ | - | - | - | - | 8,960 | | **Stainless Steel**| 1.75 × 10⁻⁵ | - | - | - | - | 2,700 | | **Water** | - | 4190 | 75 | 3.33 × 10⁵ | 22.6 × 10⁵ | 1,000 | | **Ethyl Alcohol** | - | 2400 | 110 | 1.09 × 10⁵ | 8.79 × 10⁵ | 790 | | **Ice** | - | 2090 | 37.6 | - | - | 917 | ### Constants - **1 atm** = 1.01 × 10⁵ Pa - **Nᴀ** = 6.022 × 10²³ particles/mol - **R** = 8.3145 J/(mol K) - **kʙ** = 1.38 × 10⁻²³ J/K - **σ** = 5.67 × 10⁻⁸ W/(m²K⁴) This table outlines key thermal expansion coefficients (α), specific heat capacities (c), molar heat capacities (C), latent heat of fusion (Lf),
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