Law of thermodynamic Question?

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PETL

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A piston and cylinder arrangement contains 2kg of nitrogen at 100kpa, 293K. The nitrogen is compressed in an isentropic process ( PV^1.4 = constant, adiabatic process with no losses such as friction). Find the work done in the process.

I tried the problem and i figured that if temperature is constant, the work done would = 0. Any Ideas?
 
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