How Much Heat Must Be Removed to Make Ice from Water at Different Temperatures?

  • Thread starter Thread starter Yanbeast
  • Start date Start date
Click For Summary
SUMMARY

To calculate the heat removal required to convert 2 kg of water at 20°C to ice at -10°C, three stages must be considered: cooling the water from 20°C to 0°C, phase change from water to ice at 0°C, and cooling the ice from 0°C to -10°C. The specific heat of water is 1.0 cal/g°C, and the latent heat of fusion is 80 cal/g. The total heat removal can be calculated using the equation Q=cmT for each stage, leading to a definitive total heat removal value in kcal.

PREREQUISITES
  • Understanding of specific heat capacity
  • Knowledge of latent heat of fusion
  • Familiarity with the equation Q=cmT
  • Basic thermodynamics principles
NEXT STEPS
  • Calculate the heat removal for each stage: cooling water, phase change, and cooling ice.
  • Explore the concept of latent heat in detail.
  • Learn about specific heat capacities of different substances.
  • Investigate thermodynamic processes involving phase changes.
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone tackling heat transfer problems in chemistry or physics courses.

Yanbeast
Messages
2
Reaction score
0

Homework Statement



How much heat (in kcal) must be removed to make ice at –10°C from 2 kg of water at 20°C? (The specific heat of ice is 0.5 cal/g °C.)

Homework Equations



Q=cmT

The Attempt at a Solution



I thought this problem was simple,
Q=0.5x2000x30
Then diving by 1000 again to put it into Kcal. 30 is not the right answer.
 
Physics news on Phys.org
Yanbeast said:

Homework Statement



How much heat (in kcal) must be removed to make ice at –10°C from 2 kg of water at 20°C? (The specific heat of ice is 0.5 cal/g °C.)
And the specific heat of water is 1.0 cal/g °C.
Yanbeast said:

Homework Equations



Q=cmT

The Attempt at a Solution



I thought this problem was simple,
Q=0.5x2000x30
Then diving by 1000 again to put it into Kcal. 30 is not the right answer.

There are three things you have to account for:
The water has to be cooled 20°C.
The water at 0°C has to be converted to ice. (80C/g)
The ice at 0°C has to be cooled to -10°C.
 

Similar threads

Replies
12
Views
2K
  • · Replies 17 ·
Replies
17
Views
6K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
9
Views
8K
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
7K
Replies
4
Views
2K