Specific heat capacity - heating ice/water

AI Thread Summary
The discussion revolves around calculating the initial mass of ice in a pot containing 10kg of water at equilibrium at 0°C. The mixture remains at 0°C for the first 50 minutes while the ice melts, and then the temperature rises to 2°C over the next 10 minutes. Participants are attempting to apply the equations for heat transfer, specifically q=mcΔT and q=mL, but are arriving at different results than the textbook. The key issue raised is how to account for the time spent in each phase of heating and melting, as the heat source adds energy at a constant rate. The discrepancy in calculated mass suggests a need for careful consideration of both the latent heat during melting and the specific heat during the temperature increase.
slaw155
Messages
41
Reaction score
0

Homework Statement


A pot on a stove burner contains 10kg of water and an unknown mass of ice at equilibrium at 0degC at time = 0min. During the first 50mins, the mixture remains at 0degC. From 50 to 60mins the temperature increases to 2degC. What is the initial mass of ice? Ignore the heat capacity of the pot. Take specific heat capacity of water to be 4186J/kg/degC and latent heat of water fusion to be 3.3x10^5 J/kg.


Homework Equations



q=mcT and q=mL

The Attempt at a Solution


I tried equating the two 'q' in the above equations with 'm' in mcT being mass of ice added to mass of water, and T there being 2. However this gives me an answer different to the book. Is my approach wrong or am I missing something?
 
Physics news on Phys.org
What is your approach to solving this?
 
NascentOxygen said:
What is your approach to solving this?

I went (mass of ice + mass of water) x c x 2 = mass of ice x L. This gives mass of ice in the range of 0.3kg whereas the textbook answer is about 1.4kg.
 
slaw155 said:
I went (mass of ice + mass of water) x c x 2 = mass of ice x L. This gives mass of ice in the range of 0.3kg whereas the textbook answer is about 1.4kg.
What about the time taken in each stage?
 
haruspex said:
What about the time taken in each stage?

How would we take into account the time of each stage? Melting takes 50mins and the heating to raise temp by 2degC takes 10mins.
 
slaw155 said:
How would we take into account the time of each stage? Melting takes 50mins and the heating to raise temp by 2degC takes 10mins.
The heat source is adding heat to the pot's contents at a constant rate.
 
Forgot to quote
 
NascentOxygen said:
The heat source is adding heat to the pot's contents at a constant rate.
Thanks
 
Last edited:

Similar threads

I try to solve a thermodynamics problem on heat transfer
Replies
3
Views
2K
How much ice to cool down this water?
Replies
17
Views
5K
Specific heat capacity of a solid material
Replies
9
Views
2K
Specific heat capacity, Q = mcθ
Replies
3
Views
3K
Calculating Specific Heat Capacity
Replies
6
Views
2K
Thermodynamics - Latent Heat Problem (finding mass)
Replies
7
Views
2K
Confusion about whether to use the specific heat of water or ice
Replies
4
Views
2K
Specific heat capacity of water
Replies
16
Views
4K
Calorimetry - finding the final temperature of a system of ice and water
Replies
7
Views
2K
Determining the specific heat capacity of water
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top