Is delta enthalpy zero for

Is delta enthalpy zero for....

1. The problem statement, all variables and given/known data

1 mol of ideal gas expands isothermally at 274 K ,from pressure 1.1 atm to 1 atm.It absorbs 8.314 J of heat.Find free energy change.

2. Relevant equations

dG=dH-T dS......1
dH=dU+Work done
Work done=nRTln(P1/P2).....2
3. The attempt at a solution
dH=Work done
dH=whatever u get in 2
dG=whatever u get by substituing values in 1.

But my book says dH=0 because the process is adiabatic.Isn't that wrong?

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