h heat is r

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
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Question:**

1. How much heat is required to raise the temperature of 53 g of each of the following substances by 23 K?

- **Substance A** (\(C_A = 8.37 \, \text{J/g-K}\))
- **Substance B** (\(C_B = 0.945 \, \text{J/g-K}\))
- **Substance C** (\(C_C = 0.0567 \, \text{J/g-K}\))

**Explanation:**

This problem requires calculation of the heat needed to increase the temperature of 53 grams of three different substances, each with a unique specific heat capacity, by 23 Kelvin (\(K\)). 

The formula to determine the heat required (\(q\)) is:

\[ q = m \cdot C \cdot \Delta T \]

where:
- \(q\) = heat energy (in Joules, \(J\))
- \(m\) = mass (in grams, \(g\))
- \(C\) = specific heat capacity (in \(\text{J/g-K}\))
- \(\Delta T\) = change in temperature (in Kelvin, \(K\))

**Details:**

1. **Substance A**
   - Specific heat capacity: \(8.37 \, \text{J/g-K}\)

2. **Substance B**
   - Specific heat capacity: \(0.945 \, \text{J/g-K}\)

3. **Substance C**
   - Specific heat capacity: \(0.0567 \, \text{J/g-K}\)

Note: The diagram or graph in the image is not visible, so it cannot be explained further.
Transcribed Image Text:**Question:** 1. How much heat is required to raise the temperature of 53 g of each of the following substances by 23 K? - **Substance A** (\(C_A = 8.37 \, \text{J/g-K}\)) - **Substance B** (\(C_B = 0.945 \, \text{J/g-K}\)) - **Substance C** (\(C_C = 0.0567 \, \text{J/g-K}\)) **Explanation:** This problem requires calculation of the heat needed to increase the temperature of 53 grams of three different substances, each with a unique specific heat capacity, by 23 Kelvin (\(K\)). The formula to determine the heat required (\(q\)) is: \[ q = m \cdot C \cdot \Delta T \] where: - \(q\) = heat energy (in Joules, \(J\)) - \(m\) = mass (in grams, \(g\)) - \(C\) = specific heat capacity (in \(\text{J/g-K}\)) - \(\Delta T\) = change in temperature (in Kelvin, \(K\)) **Details:** 1. **Substance A** - Specific heat capacity: \(8.37 \, \text{J/g-K}\) 2. **Substance B** - Specific heat capacity: \(0.945 \, \text{J/g-K}\) 3. **Substance C** - Specific heat capacity: \(0.0567 \, \text{J/g-K}\) Note: The diagram or graph in the image is not visible, so it cannot be explained further.
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