Calculate the change in entropy of the cube-lake system

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Homework Help Overview

The problem involves calculating the change in entropy of a system consisting of an ice cube and a lake as they reach thermal equilibrium. The specific heat of the ice is provided, and the temperatures of both the ice cube and the lake are specified.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express uncertainty about how to approach the calculation of entropy change. Some seek clarification on the initial conditions and the implications of the hint regarding the lake's temperature. Others inquire about the necessary expressions and heat flow involved in the process.

Discussion Status

The discussion is ongoing, with participants attempting to outline the steps needed to calculate the change in entropy. Some have suggested starting with the expression for the change in entropy and exploring the heat flow involved, while others are still grappling with the basic concepts.

Contextual Notes

There is a hint provided regarding the potential impact of the ice cube on the lake's temperature, which participants are considering in their discussions. The specific heat value is also noted as a key piece of information for the calculations.

kukulalalu89
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A 11 g ice cube at -20°C is placed in a lake whose temperature is 13°C. Calculate the change in entropy of the cube-lake system as the ice-cube comes into thermal equilibrium with the lake. The specific heat of ice is 2220 J/kg*K. (Hint: Will the ice cube affect the temperature of the lake?)


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i have no idea how to calculate this... at all.. T_T
 
kukulalalu89 said:
A 11 g ice cube at -20°C is placed in a lake whose temperature is 13°C. Calculate the change in entropy of the cube-lake system as the ice-cube comes into thermal equilibrium with the lake. The specific heat of ice is 2220 J/kg*K. (Hint: Will the ice cube affect the temperature of the lake?)
Start by giving us the expression for the change in entropy dS due to an infinitessimal heat flow dQ.

What is the final temperature of the water molecules that are contained in the ice cube? Where does that heat flow come from?

How much heat has to flow? Use the expression for dS to work out the total entropy change for the lake.

AM
 

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