Chemical Process
Transparent soaps (e.g. Pears) are

Metallic soaps with frothing agent and free stearic acid to achieve transparency
Usually soft soap (made from coconut oil) in which cane sugar & alcohol are added and finally washed with methylated spirit to achieve transparency
Metallic soaps with frothing agent from which glycerine has not been recovered
None of these

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Chemical Process
Linde process of gas liquefaction employs

Merely compressing the gas beyond its critical pressure
Adiabatic expansion through a throttle valve (Joule-Thomson expansion)
Exchange of heat with colder stream
Adiabatic expansion against a piston or in a turbine

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