How Does Thermal Conductivity Affect Heat Transfer Between Two Water Vessels?

  • Thread starter Roxas ross
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In summary, the conversation discusses the time taken for the temperature difference between two adiabatic vessels, each filled with water at different temperatures, to become half its initial value. A metal rod with length (L), cross-sectional area (A), and thermal conductivity (K) is inserted into the vessels, with no openings except for where the rod meets the vessels. The specific heat capacity of water is (S) and the heat capacity of the rod and container are neglected, along with any heat loss to the atmosphere. The rate of heat flow is determined by the equation MS(dT/dt) = KA(temperature difference/length of rod), and the net rate of heat flow across the rod is equal to the heat dissipated by
  • #1
Roxas ross
1. Two adibatic vessels,each of mass (M) of water at different temperatures.the ends of a metal rod of length (L),area of cross section (A) and thermal conductivity (K),are inserted in the vessels filled with water.there are no openings on these vessels other than the place where the ends of the rod meet the vessels.find the time taken for the temperature difference to become half its initial value.the specific heat capacity of water is (S). neglect the heat capacity of the rod and the container and any loss of heat to the atmosphere.2. MS(dT/dt)=rate of heat flow
KA( temperature difference between the ends of the rod/length of rod)= rate of heat flow through the rod.
3.net rate of heat that flows across the rod = rate of heat dissipated by the vessel at higher temperature( at an instant) - rate of heat absorbed by the vessel with lower temperature ( at the same instant)
 
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  • #2
Roxas ross said:
net rate of heat that flows across the rod = rate of heat dissipated by the vessel at higher temperature( at an instant) - rate of heat absorbed by the vessel with lower temperature ( at the same instant)
That contradicts the correct statement you made at point 2 re heat flow.

Please show a real attempt.
You need to connect temperature difference to resulting heat flow, as you have, but then connect that heat flow with the resulting change in temperature difference.

In future, please use a title that gives some clue as to the subject matter.
 
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