What is the Temperature Difference Between Two Bodies Connected by a Rod?

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Homework Help Overview

The discussion revolves around the temperature difference between two bodies connected by a rod, focusing on heat transfer principles in a thermally insulated system. The bodies have different masses and specific heat capacities, and the problem involves understanding how their temperatures evolve over time.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevant equations for heat transfer and express uncertainty about their attempts to solve the problem. Some seek hints to progress, while others share their integration attempts and question the correctness of their methods.

Discussion Status

The discussion is ongoing, with participants actively seeking guidance and clarification on their approaches. Some have proposed equations related to heat transfer rates and integration, but there is no clear consensus on the correct method or solution yet.

Contextual Notes

Participants mention constraints such as the need for hints rather than complete solutions, and there is a focus on the mathematical aspects of the problem, including integration challenges and the conditions of the system.

aviravir1
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Two bodies of masses m1 and m2 and specific heat capacities s1and s2 are connected by a rod of length L crossectional area A,thermal conductivty K and negligible heat capacity.The whole system is thermally insulated.At time t=0 the temperature of the first body is T1and the temperature of second body is T2(T2>T1).Find the temp. difference betw. 2 bodies at time t.
 
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What relevant equations did you learn? What attempt did you make at solving this question?
 
well actually i m not able to move an inch in it...

can u please give me some solid hint so that i can proceed..
 
please help...giv some hint ...how shud i proceed
 
why no one is replying...atleast give some hint how to do it..so that i may proceed...
 
The rate of heat transfer, given by H=kA*delta-T/delta-x, is equal to mc*dT/dt for both objects connected by the rod, only one rod's temperature goes down while the other's goes up. Depending on whether your class is calculus-based, you can either calculate the power transferred in time t and set it equal to mc*delta-T for both objects, or you can use calculus to get a more accurate solution.
 
actually i did lik this(see the attachment)

firstly is it correct

secondly wen i tried integrating it its not giving the ans.
 

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please help
 
please help...i m in dire need

im getting ans as (T2-T1)e(1-f)t

wer f=KA(m1s1+m2s2)/(L(m1s1m2s2))

wer as ans is (T2-T1)e-ft

wer f=KA(m1s1+m2s2)/(L(m1s1m2s2))
 

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