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The wall is adiabatic and DeltaU=W(ad). ...

The wall is adiabatic and `DeltaU=W_(ad)`. What do you understand about the heat and work with respect to the system?

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In adiabatic process there is no transfer of heat between system and surroundings.
Work done adiabatic process is the change in internal energy of the system. Work done in adabatic process `W_(ad)=U_2-U_1- =triangleU.`
Here work done on the system is positive and work done by the system is negative.
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