A) \[\frac{5}{2\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]
B) \[\frac{1}{\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]
C) \[\frac{2}{5\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]
D) None of these
Correct Answer: A
Solution :
[a] \[\frac{\ell }{{{K}_{1}}A}+\frac{\ell }{2{{K}_{2}}A}+\frac{\ell }{{{K}_{3}}A}=\frac{\ell }{KA}+\frac{\ell }{2KA}+\frac{\ell }{KA}\] \[\frac{5}{2K}=\left( \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right)\] \[{{K}_{eq}}=\frac{5}{2\left( \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right)}\]You need to login to perform this action.
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