How Much Energy Does Ice Release When Cooled in a Freezer?

Click For Summary
SUMMARY

The thermal energy released by a 3.0 kg block of ice cooling from -5.0°C to -40.0°C is calculated using the formula EH = mcΔT, where the specific heat capacity of ice is required. The specific heat capacity of ice is approximately 2100 J/kg/°C, not the 4186 J/kg/°C used for water. The correct calculation yields EH = (3.0 kg)(2100 J/kg/°C)(-40.0°C - -5.0°C) = -220500 J, confirming that the energy released is 2.2 x 10^5 J.

PREREQUISITES
  • Understanding of thermal energy calculations
  • Knowledge of specific heat capacities
  • Familiarity with the formula EH = mcΔT
  • Basic principles of thermodynamics
NEXT STEPS
  • Study the specific heat capacity of different materials, particularly ice and water.
  • Learn about phase changes and their impact on thermal energy calculations.
  • Explore advanced thermodynamic equations related to heat transfer.
  • Investigate practical applications of thermal energy calculations in refrigeration systems.
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics, as well as educators and professionals involved in refrigeration and thermal energy management.

roxxyroxx
Messages
48
Reaction score
0

Homework Statement



A 3.0kg block of ice made in a fridge has an initial temp. of -5.0[tex]\circ[/tex]C. It
is then moved to a much colder freezer. how much thermal energy is released by the ice as it cools to -40.0[tex]\circ[/tex]C?

Homework Equations


EH = mc[tex]\Delta[/tex]T
for water, c = 4186 J/kg/[tex]\circ[/tex]C


The Attempt at a Solution


EH = mc[tex]\Delta[/tex]T
EH = (3.0kg)(4186 J/kg/[tex]\circ[/tex]C)(-40.0[tex]\circ[/tex]C - -5.0[tex]\circ[/tex]C)
= -439530 J
but the answer should be 2.2 x 10^5 J
help?
 
Last edited:
Physics news on Phys.org
The specific heat of ice is different from that of water.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 17 ·
Replies
17
Views
6K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
13K