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

[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)

 

[haruspex]

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.