An unknown metal has a mass of 81.2 g. When 1890 J of eat are added to the sample, the sample temperature changes by 51.8 C. Calculate the specific heat of the unknown metal. specific heat: J/(g. C) What is the possible identity of the metal based on the calculated specific heat? zinc silver iron Metal iron silver gold barium. calcium zinc Specific heat (J/g. C) 0.449 0.240 0.129 0.204 0.650 0.390

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Problem Description

An unknown metal has a mass of 81.2 g. When 1890 J of heat are added to the sample, the sample temperature changes by 51.8 °C. Calculate the specific heat of the unknown metal.

### Calculation

- Specific Heat Formula:  
  \[
  \text{Specific heat} = \frac{q}{m \times \Delta T}
  \]
  where \( q = 1890 \text{ J} \), \( m = 81.2 \text{ g} \), and \( \Delta T = 51.8 \text{ °C} \).

### Table of Specific Heats

| Metal    | Specific Heat (J/g·°C) |
|----------|------------------------|
| Iron     | 0.449                  |
| Silver   | 0.240                  |
| Gold     | 0.129                  |
| Barium   | 0.204                  |
| Calcium  | 0.650                  |
| Zinc     | 0.390                  |

### Question

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

- ○ Zinc
- ○ Silver
- ○ Iron
- ○ Gold

**Note:** Compare your calculated specific heat with the values in the table to identify the metal.
Transcribed Image Text:### Problem Description An unknown metal has a mass of 81.2 g. When 1890 J of heat are added to the sample, the sample temperature changes by 51.8 °C. Calculate the specific heat of the unknown metal. ### Calculation - Specific Heat Formula: \[ \text{Specific heat} = \frac{q}{m \times \Delta T} \] where \( q = 1890 \text{ J} \), \( m = 81.2 \text{ g} \), and \( \Delta T = 51.8 \text{ °C} \). ### Table of Specific Heats | Metal | Specific Heat (J/g·°C) | |----------|------------------------| | Iron | 0.449 | | Silver | 0.240 | | Gold | 0.129 | | Barium | 0.204 | | Calcium | 0.650 | | Zinc | 0.390 | ### Question What is the possible identity of the metal based on the calculated specific heat? - ○ Zinc - ○ Silver - ○ Iron - ○ Gold **Note:** Compare your calculated specific heat with the values in the table to identify the metal.
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