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a rod has negligible heat capacity has length 2020 cm area 11 cm2cm2 & thermal conductivity 200200 . the temp at one endis 0degree0degree and the other end is slowly and linearly varied from 060degree0--60degree . assuming no loss of heat find total heat transmitted

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vikas pandey , 13 Years ago
Grade 9
anser 2 Answers
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Chetan Mandayam Nayakar

Last Activity: 13 Years ago

dQ/dt=kA*60/length Watt

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Swapnil Saxena

Last Activity: 13 Years ago

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

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

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Q= KA kt/l.dt= KA kt2/2l

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Since T=kt then t= T/k

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Q= KAT2/2kl

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So kthe rate at which temperature is varied with time shold be specified for solution

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