Engineering Thermodynamics
A diathermic wall is one which

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

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Engineering Thermodynamics
According to First law of thermodynamics,

Internal energy, enthalpy and entropy during a process remain constant
Total energy of a system remains constant
Total internal energy of a system during a process remains constant
Work-done by a system is equal to the heat transferred by the system

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