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The first law of thermodynamics states that:

DU = DQ + DW

where DU is the increase in the internal energy of the gas

DQ is the heat supplied to the system

and DW is the work done ON the system

For an adiabatic process, DQ = 0

Therefore, DU = DW

It can be thus easily seen that for the internal to increase (DU +ve), DW must be positive, that is work has to be done on the system (in this case the ideal gas).

Hence, the gas should be compressed.

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