Latent Heat Q: 50g Ice Melting in 1kW Oven

In summary, the conversation is about estimating the time it will take for 50g of ice to melt in a 1kW microwave oven. The specific latent heat capacity of ice is given as 330kJ-1 kg. The equation used is ΔQ=mL. The attempt at a solution uses the equation 1000xt=0.05x300 but the units do not match up. It is determined that the answer is incorrect and the units need to be checked for accuracy.
  • #1
CannonSLX
40
0

Homework Statement


50g of ice is placed in a 1kW microwave oven and the oven is turned to full power. Estimate the time it will take for the ice to melt. The specific latent heat capacity of ice in 330kJ −1 kg . Is your answer likely to be an overestimate or an underestimate? Explain your reasoning.

Homework Equations


ΔQ=mL

The Attempt at a Solution


ΔQ=mL
1000xt=0.05x300
.:. t=0.0165 ?

This value seems very small :/
 
Physics news on Phys.org
  • #2
Check your units
 
  • #3
BvU said:
Check your units
Apologies, I had to do it really quickly. Is the answer correct though ?
 
  • #4
No
 
  • #5
BvU said:
No
Where have I gone wrong ?
 
  • #6
Compare the units on the lefthand side with the units on the righthand side
 
  • #7
Find it ?
 

Related to Latent Heat Q: 50g Ice Melting in 1kW Oven

1. What is latent heat?

Latent heat is the amount of energy required to change the state of a substance without changing its temperature. In the case of ice melting, the latent heat is the amount of energy needed to change the solid ice into liquid water without changing its temperature.

2. How is latent heat measured?

Latent heat is typically measured in units of joules (J) or calories (cal). In the context of the given scenario, it is measured in kilowatts (kW) since the oven is providing 1kW of energy to melt the ice.

3. What is the specific latent heat of fusion for ice?

The specific latent heat of fusion for ice is the amount of energy required to melt one gram of ice at 0°C into liquid water at the same temperature. It is approximately 334 J/g, or 79.7 cal/g.

4. How does the amount of ice affect the latent heat required?

The amount of ice affects the latent heat required as it is directly proportional. This means that the more ice there is, the more energy is needed to melt it. In the given scenario, since there is 50g of ice, it will require 50 times the specific latent heat of fusion to melt.

5. How does the oven's power affect the melting of the ice?

The oven's power directly affects the rate of energy transfer to the ice. The higher the power, the faster the ice will melt. In the given scenario, with a 1kW oven, the ice will melt faster compared to a lower powered oven. However, the total amount of energy required to melt the ice will remain the same regardless of the oven's power.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
11
Views
4K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
4K
Back
Top