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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### 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
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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