A) \[75{}^\circ C\]
B) \[67{}^\circ C\]
C) \[33{}^\circ C\]
D) \[25{}^\circ C\]
Correct Answer: A
Solution :
\[\operatorname{Temperature}\,\,of\,\,interface\,\theta =\,\,\frac{{{K}_{1}}{{\theta }_{1}}{{l}_{2}}+{{K}_{2}}{{\theta }_{2}}{{l}_{1}}}{{{K}_{1}}{{l}_{2}}+{{K}_{2}}{{l}_{1}}}\] It is given that \[{{\operatorname{K}}_{Cu}}=9\,{{K}_{s}}.So\,\,if\,\,{{K}_{S}}=\,\,{{K}_{1}}=K\] then \[{{\operatorname{K}}_{Cu}}={{K}_{2}}=9K\] \[\Rightarrow \,\,\,\,\,\theta =\frac{9K\times 100\times 6+K\times 0\times 18}{9K\times 6+K\times 18}=\frac{5400\,K}{72\,K}=\,\,75{}^\circ C\]
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