Engineering Thermodynamics
An adiabatic wall is one which

Discourages thermal interaction
Encourages thermal interaction
Permits thermal interaction
Prevents thermal interaction

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Engineering Thermodynamics
According to Clausius statement of second law of thermodynamics

Heat can
Heat can be transferred for low temperature to high temperature source by using refrigeration cycle
Heat can
Heat can be transferred from low temperature to high temperature source if COP of process is more than unity

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