Luis and Salman are trying to increase the temperature of a substance by heating it. . What is the quantity of heat in kilojoules required to raise the temperature of 1.2 kg of the substance from3°C to 110 °C at a pressure of 1.0 atm? Please keep three significant figures.
Luis and Salman are trying to increase the temperature of a substance by heating it. . What is the quantity of heat in kilojoules required to raise the temperature of 1.2 kg of the substance from3°C to 110 °C at a pressure of 1.0 atm? Please keep three significant figures.
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Calculating the Heat Required to Raise the Temperature of a Substance
Luis and Salman are conducting an experiment to increase the temperature of a substance by heating it. The task is to determine the quantity of heat in kiloJoules (kJ) required to raise the temperature of 1.2 kg of the substance from 3°C (276 K) to 110°C (383 K) at a pressure of 1.0 atm. Please ensure that your calculations are accurate to three significant figures.
#### Useful Information:
1. **Melting Point:** 293 K
2. **Heat of Fusion:** \( 3.90 \times 10^4 \) J/kg
3. **Boiling Point:** 423 K
4. **Heat of Vaporization:** \( 7.80 \times 10^4 \) J/kg (at a pressure of 1.0 atm)
5. **Specific Heats:**
- **Solid Phase:** 600 J/(kg K)
- **Liquid Phase:** 1000 J/(kg K)
- **Gaseous Phase:** 400 J/(kg K)
#### Steps to Solve:
1. **Heating the substance from 3°C to its melting point (293 K):**
- Use the specific heat of the solid phase to calculate this energy requirement.
2. **Melting the substance at 293 K:**
- Use the heat of fusion for this phase change.
3. **Heating the liquid from the melting point (293 K) to 110°C (383 K):**
- Use the specific heat of the liquid phase for this energy calculation.
4. **Summarizing All Energy Requirements:**
- Add together the energy required for each of the aforementioned steps to obtain the total heat required.
### Calculation Example:
1. **Heating from 3°C to 293 K:**
\[
Q_1 = m \cdot c_{\text{solid}} \cdot \Delta T
\]
Where \( \Delta T = 293 K - 276 K = 17 K \)
2. **Melting:**
\[
Q_2 = m \cdot \text{Heat of Fusion}
\]
3. **Heating from 293 K to 383 K:**
\[
Q_3 = m \cdot c_{\text{liquid}} \cdot](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb865a02-7408-4eb8-b9f3-2c56928a70f5%2Fd075a81d-7970-4252-a806-907ea212043b%2Fw1lol2_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating the Heat Required to Raise the Temperature of a Substance
Luis and Salman are conducting an experiment to increase the temperature of a substance by heating it. The task is to determine the quantity of heat in kiloJoules (kJ) required to raise the temperature of 1.2 kg of the substance from 3°C (276 K) to 110°C (383 K) at a pressure of 1.0 atm. Please ensure that your calculations are accurate to three significant figures.
#### Useful Information:
1. **Melting Point:** 293 K
2. **Heat of Fusion:** \( 3.90 \times 10^4 \) J/kg
3. **Boiling Point:** 423 K
4. **Heat of Vaporization:** \( 7.80 \times 10^4 \) J/kg (at a pressure of 1.0 atm)
5. **Specific Heats:**
- **Solid Phase:** 600 J/(kg K)
- **Liquid Phase:** 1000 J/(kg K)
- **Gaseous Phase:** 400 J/(kg K)
#### Steps to Solve:
1. **Heating the substance from 3°C to its melting point (293 K):**
- Use the specific heat of the solid phase to calculate this energy requirement.
2. **Melting the substance at 293 K:**
- Use the heat of fusion for this phase change.
3. **Heating the liquid from the melting point (293 K) to 110°C (383 K):**
- Use the specific heat of the liquid phase for this energy calculation.
4. **Summarizing All Energy Requirements:**
- Add together the energy required for each of the aforementioned steps to obtain the total heat required.
### Calculation Example:
1. **Heating from 3°C to 293 K:**
\[
Q_1 = m \cdot c_{\text{solid}} \cdot \Delta T
\]
Where \( \Delta T = 293 K - 276 K = 17 K \)
2. **Melting:**
\[
Q_2 = m \cdot \text{Heat of Fusion}
\]
3. **Heating from 293 K to 383 K:**
\[
Q_3 = m \cdot c_{\text{liquid}} \cdot
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