MULTI-STEP HEAT PROBLEMS The data below refers to an unknown substance, X. Melting Boiling Point Heat of Vaporization point 550 J/g Heat of Fusion 14.0°C 86.0°C 1. Draw a heating curve for substance X, going from formulas used to calculate heat. 150 J/g SH (vapor) SH Capacity SH (solid) (liquid) 4.3 J/gºC 5.2 J/gºC 1.1 J/gºC 2°C to 120°C on the axis below. Write in all b. Determine the amount of heat necessary to change 30g of X from solid at 4°C to liquid at 14°C.

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**Multi-Step Heat Problems**

The data below refers to an unknown substance, X.

| Melting Point | Boiling Point | Heat of Fusion | Heat of Vaporization | SH Capacity (solid) | SH (liquid) | SH (vapor) |
|---------------|---------------|----------------|----------------------|---------------------|-------------|------------|
| 14.0°C        | 86.0°C        | 150 J/g        | 550 J/g              | 4.3 J/g°C           | 5.2 J/g°C   | 1.1 J/g°C  |

1. **Task**: Draw a heating curve for substance X, going from 2°C to 120°C on the axis below. Write in all formulas used to calculate heat.

2. **Graph Explanation**:
   - The heating curve is a stepwise graph illustrating the phase changes and temperature increase of substance X.
   - The graph begins at 2°C and consists of several phases:
     - **Solid Phase**: Temperature increases until reaching the melting point of 14°C.
     - **Phase Change**: At 14°C, X transitions from solid to liquid, creating a plateau as it absorbs heat without a temperature change (fusion).
     - **Liquid Phase**: Temperature rises from 14°C to the boiling point of 86°C.
     - **Phase Change**: At 86°C, X transitions from liquid to vapor, forming another plateau as it absorbs heat (vaporization).
     - **Vapor Phase**: Temperature increases from 86°C to 120°C.

b. **Task**: Determine the amount of heat necessary to change 30g of X from solid at 4°C to liquid at 14°C. 

 - Use formulas for calculating heat in each phase and phase change:
   - Heating solid: \( q = m \times c \times \Delta T \)
   - Melting: \( q = m \times \text{Heat of Fusion} \)

Where \( m \) is mass, \( c \) is specific heat capacity, and \( \Delta T \) is the change in temperature.
Transcribed Image Text:**Multi-Step Heat Problems** The data below refers to an unknown substance, X. | Melting Point | Boiling Point | Heat of Fusion | Heat of Vaporization | SH Capacity (solid) | SH (liquid) | SH (vapor) | |---------------|---------------|----------------|----------------------|---------------------|-------------|------------| | 14.0°C | 86.0°C | 150 J/g | 550 J/g | 4.3 J/g°C | 5.2 J/g°C | 1.1 J/g°C | 1. **Task**: Draw a heating curve for substance X, going from 2°C to 120°C on the axis below. Write in all formulas used to calculate heat. 2. **Graph Explanation**: - The heating curve is a stepwise graph illustrating the phase changes and temperature increase of substance X. - The graph begins at 2°C and consists of several phases: - **Solid Phase**: Temperature increases until reaching the melting point of 14°C. - **Phase Change**: At 14°C, X transitions from solid to liquid, creating a plateau as it absorbs heat without a temperature change (fusion). - **Liquid Phase**: Temperature rises from 14°C to the boiling point of 86°C. - **Phase Change**: At 86°C, X transitions from liquid to vapor, forming another plateau as it absorbs heat (vaporization). - **Vapor Phase**: Temperature increases from 86°C to 120°C. b. **Task**: Determine the amount of heat necessary to change 30g of X from solid at 4°C to liquid at 14°C. - Use formulas for calculating heat in each phase and phase change: - Heating solid: \( q = m \times c \times \Delta T \) - Melting: \( q = m \times \text{Heat of Fusion} \) Where \( m \) is mass, \( c \) is specific heat capacity, and \( \Delta T \) is the change in temperature.
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