An unknown metal has a mass of 88.0 g. When 2440 J of Metal Specific heat (J/g • C) heat are added to the sample, the sample temperature aluminum 0.897 changes by 30.9 °C. Calculate the specific heat of the tin 0.210 unknown metal. strontium 0.301 barium 0.204 calcium 0.650 specific heat: J/(g · °C) calcium 0.650 What is the possible identity of the metal based on the calculated specific heat? aluminum strontium calcium O tin

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### Exercise: Determining Specific Heat of an Unknown Metal

**Problem Statement:**

An unknown metal has a mass of 88.0 g. When 2440 J of heat are added to the sample, the sample temperature changes by 30.9 °C. Calculate the specific heat of the unknown metal.

**Calculation:**

- **Formula for Specific Heat:**  
  \[
  \text{specific heat} (c) = \frac{q}{m \times \Delta T}
  \]  
  where \( q \) is the heat added (2440 J), \( m \) is the mass (88.0 g), and \( \Delta T \) is the temperature change (30.9 °C).

- **Enter Specific Heat:**

  \[ \text{specific heat:} \ \_\_\_\_\_\_\_\_\_ \ \text{J/(g} \cdot \text{°C)} \]

**Question:**

What is the possible identity of the metal based on the calculated specific heat?

- \( \circ \) aluminum
- \( \circ \) strontium
- \( \circ \) calcium
- \( \circ \) tin

**Reference Table:**

| Metal     | Specific Heat (J/g·°C) |
|-----------|------------------------|
| aluminum  | 0.897                  |
| tin       | 0.210                  |
| strontium | 0.301                  |
| barium    | 0.204                  |
| calcium   | 0.650                  |

**Note:** Compare the calculated specific heat with the values in the table to identify the metal.
Transcribed Image Text:### Exercise: Determining Specific Heat of an Unknown Metal **Problem Statement:** An unknown metal has a mass of 88.0 g. When 2440 J of heat are added to the sample, the sample temperature changes by 30.9 °C. Calculate the specific heat of the unknown metal. **Calculation:** - **Formula for Specific Heat:** \[ \text{specific heat} (c) = \frac{q}{m \times \Delta T} \] where \( q \) is the heat added (2440 J), \( m \) is the mass (88.0 g), and \( \Delta T \) is the temperature change (30.9 °C). - **Enter Specific Heat:** \[ \text{specific heat:} \ \_\_\_\_\_\_\_\_\_ \ \text{J/(g} \cdot \text{°C)} \] **Question:** What is the possible identity of the metal based on the calculated specific heat? - \( \circ \) aluminum - \( \circ \) strontium - \( \circ \) calcium - \( \circ \) tin **Reference Table:** | Metal | Specific Heat (J/g·°C) | |-----------|------------------------| | aluminum | 0.897 | | tin | 0.210 | | strontium | 0.301 | | barium | 0.204 | | calcium | 0.650 | **Note:** Compare the calculated specific heat with the values in the table to identify the metal.
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