Math Problem Statement
Solution
To calculate the change in entropy (ΔS) during the melting of the ice, we use the formula:
Where:
- is the heat energy absorbed (7.30 × 10⁶ J),
- is the temperature in Kelvin. Since the ice starts at 0°C, which is 273.15 K.
Now, plugging in the values:
Let me calculate this for you. Given values Q = 7.30e6 # Heat energy absorbed in joules T = 273.15 # Temperature in Kelvin
Calculate change in entropy
delta_S = Q / T delta_SThe change in entropy () of the ice is approximately 26,725 J/K.
If you need more details or have any further questions, feel free to ask! Here are some related questions to explore:
- How does the phase change from solid to liquid affect the entropy?
- What would happen to the entropy if the ice started at a different temperature?
- How is entropy related to the heat energy absorbed during phase transitions?
- What are some other factors that influence the change in entropy?
- How does the change in entropy differ in a reversible process compared to an irreversible one?
Tip: Always remember that entropy increases when energy is added to a system, especially during phase transitions like melting or vaporization.
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Math Problem Analysis
Mathematical Concepts
Thermodynamics
Entropy
Phase Change
Formulas
ΔS = Q / T
Theorems
Second Law of Thermodynamics
Suitable Grade Level
Undergraduate Physics
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