How much heat energy is needed to operate a metromelt for one hour?

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Homework Help Overview

The problem involves calculating the heat energy required to operate a metromelt for one hour, specifically focusing on melting snow at -4 degrees Celsius and raising the temperature of the resulting water to +4 degrees Celsius.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the necessary equations for calculating heat energy, including Q=mct and Q=mLf. There are attempts to clarify the temperature change and the amount of snow melted in an hour, with some participants questioning the inclusion of the melting point in their calculations.

Discussion Status

Participants are actively engaging with the problem, offering hints and guidance without providing complete solutions. There is a focus on understanding the temperature changes involved and the amount of snow that the metromelt can process.

Contextual Notes

It is noted that the Metromelt can melt 150,000 kg of snow in one hour, which is a critical piece of information for the calculations being discussed.

AlanxD
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Homework Statement



Assuming that the snow is -4 degrees celsius and that the water is dumped at +4 degrees celsius, calculate the amount of heat energy required to operate a metromelt for one hour.

Homework Equations



Q=mct
Q=mLf *little f*

The Attempt at a Solution



I couldn't see how i would arrive the answer but i knw the Ti=-4 degrees celsius and Tf=4 degrees celsius and melting point is 0 degrees celsius.
I want a step-by-step solution.
 
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Can anyone help me for this Thermal energy question?
 
AlanxD said:
I want a step-by-step solution.

You haven't really shown much work. Either way, no one is going to give you a complete solution here. We'll help YOU do YOUR homework, not do it for you.

With that said, I'll try to HELP you. HINT:I think your going to need to know how much snow the metro melt melts in an hour. Do you know this, or can you find it?
 
G01 said:
You haven't really shown much work. Either way, no one is going to give you a complete solution here. We'll help YOU do YOUR homework, not do it for you.

With that said, I'll try to HELP you. HINT:I think your going to need to know how much snow the metro melt melts in an hour. Do you know this, or can you find it?

"The Metromelt is capable of melting 150,000 kg of snow in one hour."
 
OK, cool! Now using that information can you find how much heat you need to melt that snow in 1 hour? HINT: What will \Delta T_{snow} be?
 
Isn't it Tf-Ti? Which is Tf=4 degrees celsius and Ti=-4 degrees celsius but isn't boiling point included at 0 degrees celsius?
 
Yes \Delta T = T_f-T_i

Now find the heat energy it takes to heat up the ice, and the latent heat here, add them up, and that should be your answer!

Good luck!
 
Ya tks. I found the answer of 5.4X10 to the power of 10.
 
No Problem! Good Job!
 

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