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a rod has negligible heat capacity has length 20 cm area 1 cm2 & thermal conductivity 200 . the temp at one endis 0degree and the other end is slowly and linearly varied from 0--60degree . assuming no loss of heat find total heat transmitted

a rod has negligible heat capacity has length 20 cm area 1 cm2 & thermal conductivity 200 . the temp at one endis 0degree and the other end is slowly and linearly varied from 0--60degree . assuming no loss of heat find total heat transmitted

Grade:9

2 Answers

Chetan Mandayam Nayakar
312 Points
12 years ago

dQ/dt=kA*60/(length) Watt

Swapnil Saxena
102 Points
12 years ago

Lets consider the temperature difference to be a function of time then T=kt (k is a arbitary constant)

Then heat current at any time t = dQ/dt= KA (T)/l => dQ/dt = KA (kt)/l

Q= ∫KA (kt)/l.dt= KA (kt2)/2l

Since T=kt then t= T/k

Q= KA(T2)/2kl

So k(the rate at which temperature is varied with time) shold be specified for solution

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