Work in reversible adiabatic and irreversible adibatic is same is it possible because if it is possible than work would be a state function ....

In both cases work done is different

du = dq + dw

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dQ=0 for adiabatic process. And from the 1st law of thermodynamics, dQ=∆U + dW So, for adiabatic process dW= -∆U which is a point function and doesn't depend on path.