Simply said, one is a counter-clockwise cycle (chiller/refrigerator, heat pump), one is clockwise (heat engine like Clausius Rankine, Kalina), the counter-clockwise cycle uses power or heat to increase the temperature of another source, the clockwise cycle produce power from heat.
At the refrigerator cycle you pump the liquid (solution) to a higher pressure, where is situated the condenser and you have to separate the refrigerant for condensation.
At the Kalina cycle you you pump the liquid (solution) to a higher pressure, where is situated the evaporator and you have to separate the refrigerant for the turbine.
So, the separation is situated at the higher pressure site in both cases. One time there is the condenser, one time there is the evaporator.
The heat source is for separation (at diffent places as discribed befor) and for evaporating the working fluid (at the evaporator).
And the reason that you pump the liquid and then separate is that you need only a little work (pump) and a lot heat. Both cycles are quasi heat driven.