A sample of iron, which has a specific heat capacity of 0.449 J.g¹.°C, is put into a calorimeter (see sketch at right) that contains 300.0 g of water. The iron sample starts off at 92.4 °C and the temperature of the water starts off at 19.0 °C. When the temperature of the water stops changing it's 20.3 °C. The pressure remains constant at 1 atm. Calculate the mass of the iron sample. Be sure your answer is rounded to the correct number of significant digits. X S insulated container water sample a calorimeter C 0 E 5

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter5: Thermochemistry
Section: Chapter Questions
Problem 5.21QE
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**Calorimetry Experiment: Calculating Mass of an Iron Sample**

A sample of iron, with a specific heat capacity of 0.449 J·g⁻¹·°C⁻¹, is placed in a calorimeter (see sketch on the right) that contains 300.0 g of water. Initially, the temperature of the iron sample is 92.4 °C, while the water starts at 19.0 °C. The temperature of the water stabilizes at 20.3 °C. Atmospheric pressure is maintained at 1 atm throughout the experiment.

### Objective:
Calculate the mass of the iron sample. Ensure the answer is rounded to the appropriate number of significant figures.

### Diagram Explanation:

- **Diagram with Labels**:
  - The sketch illustrates a typical calorimetry setup. 
  - **Thermometer**: Used for measuring temperature changes.
  - **Insulated Container**: Minimizes heat exchange with the environment.
  - **Water**: Acts as the surrounding medium for the sample.
  - **Sample**: The iron block placed in water whose mass we need to calculate.

### Calculation:

Enter the calculated mass in the provided input box, and ensure significant digits are correctly applied. Use the provided calculator interface for assistance if needed.
Transcribed Image Text:**Calorimetry Experiment: Calculating Mass of an Iron Sample** A sample of iron, with a specific heat capacity of 0.449 J·g⁻¹·°C⁻¹, is placed in a calorimeter (see sketch on the right) that contains 300.0 g of water. Initially, the temperature of the iron sample is 92.4 °C, while the water starts at 19.0 °C. The temperature of the water stabilizes at 20.3 °C. Atmospheric pressure is maintained at 1 atm throughout the experiment. ### Objective: Calculate the mass of the iron sample. Ensure the answer is rounded to the appropriate number of significant figures. ### Diagram Explanation: - **Diagram with Labels**: - The sketch illustrates a typical calorimetry setup. - **Thermometer**: Used for measuring temperature changes. - **Insulated Container**: Minimizes heat exchange with the environment. - **Water**: Acts as the surrounding medium for the sample. - **Sample**: The iron block placed in water whose mass we need to calculate. ### Calculation: Enter the calculated mass in the provided input box, and ensure significant digits are correctly applied. Use the provided calculator interface for assistance if needed.
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