Thermodynamics Final Temperature of Water

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SUMMARY

The discussion centers on determining the final equilibrium temperature of water heated in different pots, specifically a copper pot versus an aluminum pot, when both receive the same amount of heat. The key equation used is Q = mc∆T, where Q represents heat, m is mass, c is specific heat capacity, and ∆T is the change in temperature. It is established that the water in the pot with the lower specific heat capacity will reach a higher final temperature, confirming that aluminum, with a lower specific heat than copper, will result in a higher equilibrium temperature for the water.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically heat transfer.
  • Familiarity with the specific heat capacity concept.
  • Knowledge of the equation Q = mc∆T.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Research the specific heat capacities of various materials, including copper and aluminum.
  • Explore the concept of thermal equilibrium in thermodynamics.
  • Learn about heat transfer methods: conduction, convection, and radiation.
  • Investigate practical applications of thermodynamics in cooking and material science.
USEFUL FOR

Students studying thermodynamics, educators teaching heat transfer concepts, and anyone interested in the practical applications of thermal properties in cooking and material selection.

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Homework Statement


A certain mass
f5047d1e0cbb50ec208923a22cd517c55100fa7b.png
of water in a copper pot is heated over a stove that releases
9866e3a998d628ba0941eb4fea0666ac391d149a.png
joules of heat to heat the water. Later the same mass
f5047d1e0cbb50ec208923a22cd517c55100fa7b.png
of water in an aluminum pot is heated over another stove that releases the same amount of heat
9866e3a998d628ba0941eb4fea0666ac391d149a.png
in order to heat the water. Then the water in which pot will have the higher final equilibrium temperature?

Homework Equations


Q = mc∆T

The Attempt at a Solution


I think the final temperature of the water in the metal pot with the least specific heat will be higher because that pot can transfer heat more easily. Is this correct?

(Edit) I believe you heat both of the pots for the same amount of time (not long enough to boil) and then stop the stove. Then wait until the equilibrium temperature for the metal and water is reached and compare it for both of them.[/B]
 

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Last edited:
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Crazy question - way too many unknowns for a simple answer.
 

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