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

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SUMMARY

The discussion centers on calculating the heat energy required to operate a Metromelt for one hour, specifically to melt snow at -4 degrees Celsius and raise it to +4 degrees Celsius. The Metromelt can process 150,000 kg of snow in that time frame. Key equations used include Q=mct for heating and Q=mLf for phase changes. The final calculated heat energy required is 5.4 x 1010 Joules.

PREREQUISITES
  • Understanding of thermal energy equations, specifically Q=mct and Q=mLf.
  • Knowledge of temperature conversion and the concept of latent heat.
  • Familiarity with the properties of water and ice, including melting points.
  • Ability to perform calculations involving mass, specific heat, and temperature changes.
NEXT STEPS
  • Research the specific heat capacity of water and ice for accurate calculations.
  • Learn about latent heat and its role in phase changes, particularly for water.
  • Explore the thermal energy requirements for different materials and their melting points.
  • Investigate real-world applications of thermal energy calculations in snow removal technologies.
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, engineers involved in snow management solutions, and anyone interested in the practical applications of thermal energy calculations.

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.
 
Last edited:
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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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