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.
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.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
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Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65515c45-3543-4133-8f93-375c795a6bf2%2F393ac95a-421f-4345-952d-8cd5deeb7f9e%2Fy20rx1n_processed.png&w=3840&q=75)
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
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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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