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Two rods of the same length but different thermal conductivities K1 ​ and  K2 ​ are joined end to end (in series) are arranged. The ends are maintained at temperatures of 100C and 70C. The temperature T at the junction point?

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Given- 

  • Lengths of rods = same
  • Thermal conductivities: K1, K2 ?
  • One end of rod 1 = 100°C
  • One end of rod 2 = 70°C
  • The temperature at the junction = T

To find- T

Solution- In steady-state heat conduction, the rate of heat flow (Q) through both rods must be equal = K1A(100T)L=K2A(T70)L

As A and L are the same. So, K1(100T)=K2(T70) 100K1+70K2=T(K1+K2)  T=100K1+70K2(K1+K2)

Posted by

Saniya Khatri

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