A 53.8 g sample of iron, which has a specific heat capacity of 0.449 J-g.°C ', is put into a calorimeter (see sketch at right) that insulated container contains 300.0 g of water. The temperature of the water starts off at 24.0 °C. When the temperature of the water stops changing it's 25.4 °C. The pressure remains constant at 1 atm. water Calculate the initial temperature of the iron sample. Be sure your answer is rounded to 2 significant digits. sample a calorimeter

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**Calorimetry Experiment: Calculating the Initial Temperature of an Iron Sample**

A 53.8 g sample of iron, which has a specific heat capacity of \(0.449 \, \text{J} \cdot \text{g}^{-1} \cdot \degree \text{C}^{-1}\), is put into a calorimeter (see sketch at right) containing 300.0 g of water. The temperature of the water starts off at \(24.0 \degree \text{C}\). When the temperature of the water stops changing, it's \(25.4 \degree \text{C}\). The pressure remains constant at 1 atm.

Calculate the initial temperature of the iron sample. Be sure your answer is rounded to 2 significant digits.

[Input Box for Answer]  
\[\degree \text{C}\]

**Diagram Explanation:**

To the right, there is a diagram of a calorimeter setup. It includes:

- An *insulated container* which houses the experiment, minimizing heat exchange with the environment.
- Inside the container, there is *water* which serves as the medium for heat transfer.
- The *sample*, representing the iron, is submerged in the water.
- A *thermometer* is depicted measuring the temperature within the calorimeter.

This setup is used to measure the heat exchange that allows for the calculation of the initial temperature of the iron.
Transcribed Image Text:**Calorimetry Experiment: Calculating the Initial Temperature of an Iron Sample** A 53.8 g sample of iron, which has a specific heat capacity of \(0.449 \, \text{J} \cdot \text{g}^{-1} \cdot \degree \text{C}^{-1}\), is put into a calorimeter (see sketch at right) containing 300.0 g of water. The temperature of the water starts off at \(24.0 \degree \text{C}\). When the temperature of the water stops changing, it's \(25.4 \degree \text{C}\). The pressure remains constant at 1 atm. Calculate the initial temperature of the iron sample. Be sure your answer is rounded to 2 significant digits. [Input Box for Answer] \[\degree \text{C}\] **Diagram Explanation:** To the right, there is a diagram of a calorimeter setup. It includes: - An *insulated container* which houses the experiment, minimizing heat exchange with the environment. - Inside the container, there is *water* which serves as the medium for heat transfer. - The *sample*, representing the iron, is submerged in the water. - A *thermometer* is depicted measuring the temperature within the calorimeter. This setup is used to measure the heat exchange that allows for the calculation of the initial temperature of the iron.
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