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

AI Thread Summary
To calculate the heat energy needed to operate a metromelt for one hour, the initial temperature of snow is -4 degrees Celsius, and the final temperature of water is +4 degrees Celsius. The metromelt can melt 150,000 kg of snow in one hour, requiring the use of the equations Q=mct and Q=mLf. The temperature change (ΔT) is determined by the difference between the final and initial temperatures, which is 8 degrees Celsius. After considering the heat required to raise the temperature of the snow and the latent heat for melting, the total heat energy calculated is approximately 5.4 x 10^10 joules. This comprehensive approach ensures accurate results for thermal energy calculations.
AlanxD
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Homework Statement



Assuming that the snow is -4 degrees celcius and that the water is dumped at +4 degrees celcius, 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 celcius and Tf=4 degrees celcius and melting point is 0 degrees celcius.
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 celcius and Ti=-4 degrees celcius but isn't boiling point included at 0 degrees celcius?
 
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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