Chemical Engineering Thermodynamics
It is desired to bring about a certain change in the state of a system by performing work on the system under adiabatic conditions.

More information is needed to conclude anything about the path dependence or otherwise of the work needed
The amount of work needed is independent of path
The amount of work needed is path dependent
Work alone can not bring out such a change of state

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Chemical Engineering Thermodynamics
Critical solution temperature (or the con-solute temperature) for partially miscible liquids (e.g., phenol-water) is the minimum temperature at which

Mutual solubility of the two liquids shows a decreasing trend
None of these
Two liquids are completely separated into two layers
A homogeneous solution (say of phenol water) is formed

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