O THERMOCHEMISTRY Calculating specific heat capacity A chemist carefully measures the amount of heat needed to raise the temperature of a 577.0 g sample of a pure substance from 1.7 °C to 12.8 °C. The experiment shows that 890. J of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has the correct number of significant digits.

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**Thermochemistry: Calculating Specific Heat Capacity**

A chemist carefully measures the amount of heat needed to raise the temperature of a 577.0 g sample of a pure substance from 1.7 °C to 12.8 °C. The experiment shows that 890. J of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has the correct number of significant digits.

**Formula Input:**
\[ \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \]

There is an input box for entering the calculated specific heat capacity value. The tools available include the ability to:

- Input scientific notation.
- Clear the entry.
- Access help or hints.

The bottom options include:
- Explanation
- Check

The task involves calculating the specific heat capacity using the formula:

\[ c = \frac{q}{m \cdot \Delta T} \]

Where:
- \( c \) is the specific heat capacity,
- \( q \) is the heat added (890. J),
- \( m \) is the mass (577.0 g),
- \( \Delta T \) is the change in temperature (12.8 °C - 1.7 °C).

**Note:** The answer should be reported with the correct number of significant digits based on the given data.
Transcribed Image Text:**Thermochemistry: Calculating Specific Heat Capacity** A chemist carefully measures the amount of heat needed to raise the temperature of a 577.0 g sample of a pure substance from 1.7 °C to 12.8 °C. The experiment shows that 890. J of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has the correct number of significant digits. **Formula Input:** \[ \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \] There is an input box for entering the calculated specific heat capacity value. The tools available include the ability to: - Input scientific notation. - Clear the entry. - Access help or hints. The bottom options include: - Explanation - Check The task involves calculating the specific heat capacity using the formula: \[ c = \frac{q}{m \cdot \Delta T} \] Where: - \( c \) is the specific heat capacity, - \( q \) is the heat added (890. J), - \( m \) is the mass (577.0 g), - \( \Delta T \) is the change in temperature (12.8 °C - 1.7 °C). **Note:** The answer should be reported with the correct number of significant digits based on the given data.
Expert Solution
Step 1

Given:

The mass of the substance = 577.0 g

The initial temperature of the substance = 1.7 oC

The final temperature of the substance = 12.8 oC

The amount of heat needed to raise the temperature of the substance = 890 J

We have to calculate the specific heat capacity of the substance.

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