A small hot iron nail is put into a pot of cold water. Which of the following is true? The decrease in iron temperature equals the increase in the water temperature. The final temperature of the iron and water is halfway between the initial temperatures of each. The quantity of heat lost by the iron equals the quantity of heat gained by the water.

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### Heat Transfer Between a Hot Iron Nail and Cold Water

When a small hot iron nail is put into a pot of cold water, the following principles of heat transfer apply. Consider the options below to identify the accurate statement:

1. **The decrease in iron temperature equals the increase in the water temperature.**
2. **The final temperature of the iron and water is halfway between the initial temperatures of each.**
3. **The quantity of heat lost by the iron equals the quantity of heat gained by the water.**

#### Explanation:
- **Option 1**: This implies a direct correlation between the temperatures of the two substances but is not necessarily true because the specific heat capacities of iron and water are different.
- **Option 2**: This is an oversimplified statement and not generally true because the final temperature depends on the masses and specific heat capacities of the two substances.
- **Option 3**: This is the correct statement. According to the principle of conservation of energy, the heat lost by the iron (which cools down) equals the heat gained by the water (which warms up).

Thus, the correct statement when a small hot iron nail is placed into a pot of cold water is:
- **The quantity of heat lost by the iron equals the quantity of heat gained by the water.**
Transcribed Image Text:### Heat Transfer Between a Hot Iron Nail and Cold Water When a small hot iron nail is put into a pot of cold water, the following principles of heat transfer apply. Consider the options below to identify the accurate statement: 1. **The decrease in iron temperature equals the increase in the water temperature.** 2. **The final temperature of the iron and water is halfway between the initial temperatures of each.** 3. **The quantity of heat lost by the iron equals the quantity of heat gained by the water.** #### Explanation: - **Option 1**: This implies a direct correlation between the temperatures of the two substances but is not necessarily true because the specific heat capacities of iron and water are different. - **Option 2**: This is an oversimplified statement and not generally true because the final temperature depends on the masses and specific heat capacities of the two substances. - **Option 3**: This is the correct statement. According to the principle of conservation of energy, the heat lost by the iron (which cools down) equals the heat gained by the water (which warms up). Thus, the correct statement when a small hot iron nail is placed into a pot of cold water is: - **The quantity of heat lost by the iron equals the quantity of heat gained by the water.**
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