Calculating Temperature & Heat Transfer with a Piece of Metal

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SUMMARY

The discussion focuses on calculating the final temperature of a liquid after a piece of metal is submerged in it, along with determining the average rate of heat transfer. The metal has a mass of 1.50 kg and a specific heat of 200 J/kg·C°, while the liquid has a mass of 3.00 kg and a specific heat of 1,000 J/kg·C°. After 5 seconds, the metal's temperature drops from 100° C to 20° C. The correct final temperature of the liquid is 4° C, and the average rate of heat transfer during this period is 4,800 J/s.

PREREQUISITES
  • Understanding of specific heat capacity
  • Knowledge of heat transfer principles
  • Familiarity with the concept of thermal equilibrium
  • Basic proficiency in applying the formula Q = mcΔT
NEXT STEPS
  • Study the formula Q = mcΔT for heat transfer calculations
  • Learn about thermal equilibrium and its applications in heat transfer
  • Explore specific heat capacities of various materials
  • Investigate real-world examples of heat transfer in insulated systems
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Students in physics or engineering, educators teaching thermodynamics, and professionals involved in heat transfer analysis will benefit from this discussion.

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A piece of metal with a mass of 1.50 kilograms, specific heat of 200 J/kg · C°, and initial temperature of 100° C is dropped into an insulated jar that contains liquid with a mass of 3.00 kilograms, specific heat of l,000 J/kg · C°, and initial temperature of 0° C. The piece of metal is removed after 5 seconds, at which time its temperature is 20° C. Neglect any effects of heat transfer to the air or to the insulated jar.

What is the temperature of the liquid after the metal is removed ?
a.) 0° C
b.) 4° C
c.) 8° C
d.) 10° C
e.) 20° C

What is the average rate at which heat is transferred while the piece of metal is in the liquid ?
a.) 4,000 J/s
b.) 4,800 J/s
c.) 6,000 J/s
d.) 9,600 J/s
e.) 16,000 J/s

i have no idea what i should do
please help me
thanks
 
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Read the forum rules please. We cannot help you unless you show some proof that you have put effort into this problem, i.e. work. You do not necessarily need to have equations and numbers, but you must show that you have put some time into the problem posted.

Try to answer the following and then we'll be able to help you here:

1) What concepts apply here?

2)What actually happened to cause the metal to cool down and the water to heat up?

3) Now that you have answered the above and have a list of concepts that apply, do you know of any formulas or equations that describe some of these concepts quantitatively. If so, list them.If you can give an attempt at answering some of these questions, then we'll be able to help you.
 

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