A sample of solid iron is heated with an electrical coil. If 93.3 Joules of energy are added to a 14.7 gram sample initially at 21.0°C, what is the final temperature of the iron? Answer: °C.

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**Problem Statement:**

A sample of **solid iron** is heated with an electrical coil. If **93.3 Joules** of energy are added to a **14.7 gram** sample initially at **21.0°C**, what is the final temperature of the **iron**?

**Answer:** _____ °C
Transcribed Image Text:**Problem Statement:** A sample of **solid iron** is heated with an electrical coil. If **93.3 Joules** of energy are added to a **14.7 gram** sample initially at **21.0°C**, what is the final temperature of the **iron**? **Answer:** _____ °C
### Heating Solid Tin: Calculating Initial Temperature

**Question:**
A sample of solid tin is heated with an electrical coil. If 27.8 Joules of energy are added to a 10.6 gram sample and the final temperature is 37.3°C, what is the initial temperature of the tin?

**Answer:** __ °C

**Explanation:**

To find the initial temperature of the tin, you can use the formula for heat transfer in a substance:
\[ q = mc\Delta T \]

where:
- \( q \) is the heat energy (27.8 Joules),
- \( m \) is the mass of the tin (10.6 grams),
- \( c \) is the specific heat capacity of tin (about 0.227 J/g°C for solid tin),
- \( \Delta T \) is the change in temperature (\( T_{final} - T_{initial} \)).

Rearranging for \( T_{initial} \):

\[ T_{initial} = T_{final} - \frac{q}{mc} \]

Substitute the given values:

\[ T_{initial} = 37.3°C - \frac{27.8 \text{ J}}{10.6 \text{ g} \times 0.227 \text{ J/g°C}} \]

Calculate \( T_{initial} \) and fill in the answer in the box provided.

Note: Ensure to perform the calculation and provide the numeric answer in place of "__".
Transcribed Image Text:### Heating Solid Tin: Calculating Initial Temperature **Question:** A sample of solid tin is heated with an electrical coil. If 27.8 Joules of energy are added to a 10.6 gram sample and the final temperature is 37.3°C, what is the initial temperature of the tin? **Answer:** __ °C **Explanation:** To find the initial temperature of the tin, you can use the formula for heat transfer in a substance: \[ q = mc\Delta T \] where: - \( q \) is the heat energy (27.8 Joules), - \( m \) is the mass of the tin (10.6 grams), - \( c \) is the specific heat capacity of tin (about 0.227 J/g°C for solid tin), - \( \Delta T \) is the change in temperature (\( T_{final} - T_{initial} \)). Rearranging for \( T_{initial} \): \[ T_{initial} = T_{final} - \frac{q}{mc} \] Substitute the given values: \[ T_{initial} = 37.3°C - \frac{27.8 \text{ J}}{10.6 \text{ g} \times 0.227 \text{ J/g°C}} \] Calculate \( T_{initial} \) and fill in the answer in the box provided. Note: Ensure to perform the calculation and provide the numeric answer in place of "__".
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