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One mole of an ideal gas (y=1.4) at 500K...

One mole of an ideal gas `(y=1.4)` at `500K`, is filled in an adiabatic cylinder. The piston is free to move against atmospheric pressure. A non-conducting fan is inserted into the gas space and rotated vigrously, so that the gas expands slowly, till its volume is double. Find work done by the fan in `KJ`.
(Take `R=8 j//`mole. `k,` neglect heat capacity of the cylinder, piston and the fan).

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