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I know that adiabatic means no heat in or out of the system so dq=0

Y=cp/cv and cp=cv+R

dq=de+dw

My attempt:

First i find R=8314.3/20=415.715

then i find cv by cv=R/(Y-1) cv=2078.58

thus dw= (-de) where de=cv(T2-T1)

my answer for the work done is 2494.29 kJ/kg however the books answer is 3013 Kj/kj

what am i doing wrong?

thanks for your help