1. 25.0 kg of liquid lava at 1520.0°C flows into the 35.0°C water surrounding a volcanic island, vaporizing the water into a beautiful display of steam at 100.0°C. a. Calculate the heat produced when the 25.0 kg of liquid lava at 1520.0°C drops to 1170.0°C. Assume the heat capacity of liquid lava is 840. J/kg*K.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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### Educational Content: Heat Transfer in Volcanic Activity

#### Problem Statement:

1. **Scenario**: 
   - 25.0 kg of liquid lava at 1520.0°C flows into 35.0°C water surrounding a volcanic island.
   - This interaction vaporizes the water, creating steam at 100.0°C.

2. **Task**:
   - Calculate the heat produced when the 25.0 kg of liquid lava at 1520.0°C cools down to 1170.0°C.
   - Assume the specific heat capacity of liquid lava is 840 J/kg·K.

#### Explanation:

This exercise involves the calculation of heat transfer from hot lava to its surroundings, specifically during cooling. The heat produced can be calculated using the formula for heat transfer:

\[ Q = mc\Delta T \]

Where:
- \( Q \) is the heat produced (in Joules),
- \( m \) is the mass of the lava (in kilograms),
- \( c \) is the specific heat capacity (in J/kg·K),
- \(\Delta T\) is the change in temperature (in Kelvin or °C). 

This problem emphasizes understanding the thermal interactions in a natural event like a volcanic eruption, illustrating how energy is transferred from lava to surrounding elements.
Transcribed Image Text:### Educational Content: Heat Transfer in Volcanic Activity #### Problem Statement: 1. **Scenario**: - 25.0 kg of liquid lava at 1520.0°C flows into 35.0°C water surrounding a volcanic island. - This interaction vaporizes the water, creating steam at 100.0°C. 2. **Task**: - Calculate the heat produced when the 25.0 kg of liquid lava at 1520.0°C cools down to 1170.0°C. - Assume the specific heat capacity of liquid lava is 840 J/kg·K. #### Explanation: This exercise involves the calculation of heat transfer from hot lava to its surroundings, specifically during cooling. The heat produced can be calculated using the formula for heat transfer: \[ Q = mc\Delta T \] Where: - \( Q \) is the heat produced (in Joules), - \( m \) is the mass of the lava (in kilograms), - \( c \) is the specific heat capacity (in J/kg·K), - \(\Delta T\) is the change in temperature (in Kelvin or °C). This problem emphasizes understanding the thermal interactions in a natural event like a volcanic eruption, illustrating how energy is transferred from lava to surrounding elements.
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