How Does Melting Ice Affect Entropy in a Calorimeter System?

Click For Summary
SUMMARY

The net change in entropy of a calorimeter system during the melting of ice can be calculated using the formula dS = dQ/T, where dQ represents the heat absorbed and T is the temperature in Kelvin. In this scenario, 1.0 kg of water at 20°C is mixed with 1.0 kg of ice at 0°C. Since the temperature remains constant throughout the melting process, the total heat required to melt the ice is divided by the absolute temperature to determine the change in entropy. The heat of fusion of ice is critical for this calculation.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically entropy.
  • Familiarity with the concept of heat of fusion.
  • Knowledge of calorimetry and insulated systems.
  • Basic skills in unit conversion, particularly temperature from Celsius to Kelvin.
NEXT STEPS
  • Calculate the total heat required to melt ice using the heat of fusion of ice.
  • Convert temperatures from Celsius to Kelvin for accurate entropy calculations.
  • Explore the implications of constant temperature processes in thermodynamics.
  • Investigate the role of calorimeters in measuring heat transfer and entropy changes.
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone interested in understanding entropy changes in calorimeter systems.

laxplayer1189
Messages
3
Reaction score
0

Homework Statement


What is the net change in entropy of the system from the time of mixing until the moment the ice completely melts? The heat of fusion of ice is .
Note that since the amount of ice is relatively small, the temperature of the water remains nearly constant throughout the process. Note also that the ice starts out at the melting point, and you are asked about the change in entropy by the time it just melts. In other words, you can assume that the temperature of the "ice water" remains constant as well.


In a well-insulated calorimeter, 1.0 of water at 20 is mixed with 1.0 of ice at 0.

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Entropy is defined as dS = dQ/T (dS = change in entropy, dQ = change in heat, T = temperature in kelvin). Since the temperature is constant, all you have to do is take the total heat required to melt the ice and divide by the temperature in kelvin (i think, anyways!). Oh, and i was just wandering where the units are?
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
Replies
12
Views
1K
Replies
11
Views
2K
  • · Replies 17 ·
Replies
17
Views
6K
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
7K
  • · Replies 12 ·
Replies
12
Views
2K