Process Equipment and Plant Design
In the case of a shell and tube heat exchanger, the logarithmic mean temperature difference

Is always more than arithmetic mean value and the geometric mean value
May be either more or less than geometric mean and arithmetic mean value depending upon whether the flow of stream is co-current or counter-current
Is always less than arithmetic mean value, but more than geometric mean value
Is always less than arithmetic average value

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Process Equipment and Plant Design
Weep holes provided in the plates of a distillation column

Must be large enough (usually 1/4" to 5/8" dia) to prevent plugging but should not deliver excessive amount of fluid during operation
Are normally located near the overflow weir so that any delivery of liquid during operation follows approximately the same path as the overflow fluid
Facilitate draining out liquid from a tray when the unit is not in operation
All of these

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Process Equipment and Plant Design
The function of manholes provided in the shell of a distillation column is to

Keep a check on the liquid gradient over the plate by direct visual observation
All of these
Give access to the individual trays for cleaning, maintenance and installation
Guard against foaming & entrainment by dumping antifoaming agent through it

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