Heat Transfer
LMTD for counterflow and prallel flow heat exchanger will be the same, when the

None of these
Outlet temperature of hot fluid is less than the outlet temperature of the cold fluid
Outlent temperature of both the hot and cold fluid are same
Cold fluid is heated to a certain temperature by condensing steam (isothermal fluid)

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Heat Transfer
In a shell and tube heat exchanger,

The relationship is not generalised
The temperature drops in the two fluids and the wall are proportional to individual resistances
The temperature drop is inversely proportional to the resistance across which the drop occurs
There is no relationship between temperature drop and resistance

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