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a rod of uniform cross sectional area A, length l and thermal conductivity k has negligible heat capacity. the one end of the rod is maintained at temperature 100 degree celsius and the temperature of the other end varies with time according to T=t^2/100 where T is temperature and t is time. the total heat transferred through the rod in t=0 to t=5 sec is

a rod of uniform cross sectional area A, length l and thermal conductivity k has negligible heat capacity. the one end of the rod is maintained at temperature 100 degree celsius and the temperature of the other end varies with time according to T=t^2/100 where T is temperature and t is time. the total heat transferred through the rod in t=0 to t=5 sec is

Grade:11

2 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
one year ago
For a small time dt
The heat transferred is dQ/dt= (KA*dT)/L
dT is 100- t^2/100
dQ= KA(100-t^2/100) /L *dt
integrate t from 0 to 5
to find Q
Vikas TU
14149 Points
one year ago

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