A container made of copper is filled to the brim (and is in thermal equilibrium) with 837 mL of mercury at 95°C. The temperature of both is then decreased to 7°C. For this temperature, determine the volume of the mercury and what fraction of the container is empty. Volume of mercury at 7°C = Fraction of container that is empty=

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### Coefficient of Volume Expansion for Solids and Liquids

#### Solids
| Material | β (°C)⁻¹ |
|----------|----------|
| Aluminum | 75 × 10⁻⁶ |
| Bismuth  | 39.5 × 10⁻⁶ |
| Brass    | 56 × 10⁻⁶ |
| Concrete | 36 × 10⁻⁶ |
| Copper   | 50 × 10⁻⁶ |
| Galena   | 58.5 × 10⁻⁶ |
| Glass    | 27.6 × 10⁻⁶ |
| Gold     | 42 × 10⁻⁶ |
| Iron     | 35 × 10⁻⁶ |
| Lead     | 87 × 10⁻⁶ |
| Nickel   | 54 × 10⁻⁶ |
| Silver   | 58.3 × 10⁻⁶ |

#### Liquids
| Material    | β (°C)⁻¹  |
|-------------|-----------|
| Acetone     | 1430 × 10⁻⁶ |
| Benzene     | 1250 × 10⁻⁶ |
| Bromine     | 1100 × 10⁻⁶ |
| Ethyl alcohol | 1090 × 10⁻⁶ |
| Gasoline    | 950 × 10⁻⁶ |
| Glycerin    | 500 × 10⁻⁶ |
| Kerosene    | 990 × 10⁻⁶ |
| Mercury     | 180 × 10⁻⁶ |
| Olive oil   | 700 × 10⁻⁶ |
| Petroleum   | 1000 × 10⁻⁶ |
| Toluene     | 1080 × 10⁻⁶ |
| Water       | 214 × 10⁻⁶ |

### Problem
A container made of copper is filled to the brim (and is in thermal equilibrium) with 837 mL of mercury at 95°C. The temperature of both is then decreased to 7°C. For this temperature, determine the volume of the mercury and what fraction of the container is empty.

- Volume of mercury at 7°C = (calculate)
- Fraction of container
Transcribed Image Text:### Coefficient of Volume Expansion for Solids and Liquids #### Solids | Material | β (°C)⁻¹ | |----------|----------| | Aluminum | 75 × 10⁻⁶ | | Bismuth | 39.5 × 10⁻⁶ | | Brass | 56 × 10⁻⁶ | | Concrete | 36 × 10⁻⁶ | | Copper | 50 × 10⁻⁶ | | Galena | 58.5 × 10⁻⁶ | | Glass | 27.6 × 10⁻⁶ | | Gold | 42 × 10⁻⁶ | | Iron | 35 × 10⁻⁶ | | Lead | 87 × 10⁻⁶ | | Nickel | 54 × 10⁻⁶ | | Silver | 58.3 × 10⁻⁶ | #### Liquids | Material | β (°C)⁻¹ | |-------------|-----------| | Acetone | 1430 × 10⁻⁶ | | Benzene | 1250 × 10⁻⁶ | | Bromine | 1100 × 10⁻⁶ | | Ethyl alcohol | 1090 × 10⁻⁶ | | Gasoline | 950 × 10⁻⁶ | | Glycerin | 500 × 10⁻⁶ | | Kerosene | 990 × 10⁻⁶ | | Mercury | 180 × 10⁻⁶ | | Olive oil | 700 × 10⁻⁶ | | Petroleum | 1000 × 10⁻⁶ | | Toluene | 1080 × 10⁻⁶ | | Water | 214 × 10⁻⁶ | ### Problem A container made of copper is filled to the brim (and is in thermal equilibrium) with 837 mL of mercury at 95°C. The temperature of both is then decreased to 7°C. For this temperature, determine the volume of the mercury and what fraction of the container is empty. - Volume of mercury at 7°C = (calculate) - Fraction of container
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