How Long After Melting Does Ice Reach Above 0 Celsius When Heated?

AI Thread Summary
The discussion revolves around calculating the time it takes for ice to start melting and subsequently for its temperature to rise above 0 Celsius when heated. The initial calculation for the melting time was correctly determined to be 21.7 minutes. However, the user encountered an error in calculating the total heat required to raise the temperature above 0 Celsius, mistakenly using an incorrect value for the heat capacity of ice. After correcting the heat capacity value, the total heat required was recalculated, leading to a revised time estimate for the temperature to exceed 0 Celsius. Accurate calculations are essential for determining the correct timing in thermal processes involving phase changes.
Luis2101
Messages
13
Reaction score
0
An open container holds 0.550 kg of ice at -15 Celsius. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 800 J/min for 500 min.

A) After how many minutes does the ice start to melt.
This part I calculated and got correct, it's 21.7 min.,

B) After how many minutes, from the time when the heating is first started, does the temperature begin to rise above 0 Celsius?
--
This is where I'm stuck. What I did was say that Qtotal would be equal to Q1 (the heat necessary in part A) + Heat of Fusion of water * the mass of the ice.
so: Qt = Q1 + Lm
L is 335,000 J/kg
m is 0.550 kg
Q1 from part A is 17325 J.

So, Qt = 35750 J

Time is Qt/rate of transfer = 35750 / 800 = 44.7 min, but that's incorrect...

What am I messing up?

-Luis
 
Physics news on Phys.org
Luis2101 said:
So, Qt = 35750 J
You may wish to check this value.
 
Yeah, I used the wrong value for the heat capacity of ice. (Used 33400 instead of 334000).
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Heat transfer, how long it takes ice to reach melting point
Replies
6
Views
4K
Piece of iron put into container with ice
Replies
4
Views
2K
How much water is converted to ice?
Replies
1
Views
3K
Determining latent heat of fusion of ice
Replies
10
Views
15K
How long to melt the ice(heat, heat transfer, latent heat)
Replies
3
Views
22K
Changes of state , latent heat and heat transfers
Replies
11
Views
15K
How Does the Temperature Affect Ice Melting in Iced Tea?
Replies
1
Views
5K
Heat transfer question from surroundings to a thin sheet of ice
Replies
1
Views
3K
Calculate Final Temp of Water After Ice Melts: Help Requested
Replies
7
Views
2K
Thermodynamics and ice melting.
Replies
2
Views
19K

Hot Threads

Recent Insights

Back
Top