Two rods of same material, same cross-section, but lengths $L$ and $2L$ are joined in series. The ends are at temperatures 100°C and 0°C. Find the temperature at the junction.
Two rods of same material, same cross-section, but lengths $L$ and $2L$ are joined in series. The ends are at temperatures 100°C and 0°C. Find the temperature at the junction.
1 Answer
RRiteshBasnet93
✓ Accepted
· 2mo ago
▲ 32
In steady state, heat flow rate is equal:
$$\frac{KA(100-T)}{L} = \frac{KA(T-0)}{2L}$$
$$2(100-T) = T \Rightarrow 200 - 2T = T \Rightarrow T = 66.7°C$$
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Discussion (4)
TS
Why do we take the positive value only in the last step?
T
Tip for others: you can verify the answer quickly by checking the units.
PI
Is there a faster shortcut for this in the actual exam? Time is tight.
IM
Is there a faster shortcut for this in the actual exam? Time is tight.